Details

analyze307.0ms (2.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
50%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
75%	0%	0%	100%	0%	0%	0%	7
75%	0%	0%	100%	0%	0%	0%	8
87.5%	0%	0%	100%	0%	0%	0%	9
87.5%	0%	0%	100%	0%	0%	0%	10
87.5%	0%	0%	100%	0%	0%	0%	11
93.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.8s (23.2%)

Results

2.8s	8256×	body	256	valid
1.0ms	3×	body	256	precondition

Bogosity

preprocess59.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

104×	`fma-neg_binary32`
95×	`fma-def_binary32`
60×	`sub-neg_binary32`
45×	`cancel-sign-sub-inv_binary32`
30×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u1)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u1)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (.f32 u1 (*.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (.f32 (PI.f32) (*.f32 2 u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (.f32 (PI.f32) (*.f32 u1 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (.f32 u1 (*.f32 2 (PI.f32)))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

eval1.0ms (0%)

Compiler: Compiled 41 to 32 computations (22% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

0.4b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize85.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	13.9b	(log.f32 (-.f32 1 u1))

Compiler

Compiled 53 to 39 computations (26.4% saved)

series60.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`log-prod_binary32`
493×	`prod-diff_binary32`
322×	`pow2_binary32`
240×	`pow-unpow_binary32`
227×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	284	42
2	3434	42

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

Inputs
(log.f32 (-.f32 1 u1))
(.f32 (.f32 2 (PI.f32)) u2)
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) (.f32 2 (.f32 1/3 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (-.f32 1 (.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (-.f32 1 (.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (log.f32 (+.f32 1 (-.f32 (pow.f32 (neg.f32 u1) 2) (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (neg.f32 u1) 2))) (log.f32 (-.f32 1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2)) (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (.f32 0 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (-.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (neg.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (.f32 (neg.f32 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (neg.f32 u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 2 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1))))))

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-neg_binary32`
398×	`log-prod_binary32`
389×	`associate-r_binary32`
377×	`associate-l_binary32`
258×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	4294970815
1	1199	3204
2	5238	3174

Stop Event

1×	node limit

Counts

186 → 267

Calls

Call 1

Inputs
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 (log1p.f32 (neg.f32 u1)) 0)
(+.f32 0 (log1p.f32 (neg.f32 u1)))
(+.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log.f32 (/.f32 1 (+.f32 1 u1))))
(+.f32 (.f32 2 (.f32 1/3 (log1p.f32 (neg.f32 u1)))) (*.f32 1/3 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 (.f32 1/3 (log1p.f32 (neg.f32 u1))) (.f32 2 (*.f32 1/3 (log1p.f32 (neg.f32 u1)))))
(+.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log.f32 (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1)))))
(+.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1)))
(+.f32 (log.f32 (/.f32 1 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))
(-.f32 0 (log1p.f32 (neg.f32 u1)))
(-.f32 0 (log.f32 (/.f32 (-.f32 1 u1) 1)))
(-.f32 0 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))
(-.f32 0 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)
(-.f32 (log1p.f32 (neg.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log.f32 -1) (log.f32 (neg.f32 (-.f32 1 u1))))
(-.f32 (.f32 1/2 (log1p.f32 (neg.f32 u1))) (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log.f32 (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))
(-.f32 (log.f32 (neg.f32 (-.f32 1 (*.f32 u1 u1)))) (log.f32 (neg.f32 (+.f32 1 u1))))
(-.f32 (log.f32 (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (log.f32 (+.f32 1 (-.f32 (pow.f32 (neg.f32 u1) 2) (neg.f32 u1)))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (neg.f32 u1) 2))) (log.f32 (-.f32 1 (neg.f32 u1))))
(-.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2)) (*.f32 1/3 (log1p.f32 (neg.f32 u1))))
(*.f32 1 (log1p.f32 (neg.f32 u1)))
(*.f32 (log1p.f32 (neg.f32 u1)) 1)
(*.f32 (log1p.f32 (neg.f32 u1)) -1)
(.f32 2 (.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)))
(.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 3 (.f32 1/3 (log1p.f32 (neg.f32 u1))))
(*.f32 -1 (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))
(.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1))))
(*.f32 (neg.f32 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6))
(.f32 (.f32 -1 (cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 0 (log1p.f32 (neg.f32 u1))))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(pow.f32 (log1p.f32 (neg.f32 u1)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) 2/3)
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/6) 6)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) 4)
(neg.f32 (log1p.f32 (neg.f32 u1)))
(neg.f32 (log.f32 (/.f32 (-.f32 1 u1) 1)))
(neg.f32 (log.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 u1)) (-.f32 1 (pow.f32 u1 3)))))
(neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (*.f32 u1 u1)))))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(log1p.f32 (*.f32 (neg.f32 u1) 1))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (neg.f32 u1))) 1))
(+.f32 0 (.f32 2 (.f32 (PI.f32) u2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))
(-.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 1)
(pow.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)
(pow.f32 (sqrt.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)
(pow.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)) 1/3)
(pow.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)) 1/3)
(sqrt.f32 (.f32 4 (pow.f32 (.f32 (PI.f32) u2) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))
(log1p.f32 (expm1.f32 (.f32 2 (.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (.f32 2 (.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)) 1/3)
(sqrt.f32 (.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(+.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sin.f32 1)))
(.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)
(.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)
(pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/2)
(pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))

Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1)
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1))) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (-.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 0 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 (PI.f32) u2))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))) (sin.f32 1)))
(.f32 1 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2) 1/2)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(pow.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 2)
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(log.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(exp.f32 (log.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1))
(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))

localize79.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 47 to 19 computations (59.6% saved)

series15.0ms (0.1%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	0	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary32`
580×	`log-prod_binary32`
331×	`pow-prod-down_binary32`
284×	`pow2_binary32`
269×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	265	37
2	3232	37

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) u2) 2)))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) u2) 2)))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2) (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))))

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-*l/_binary32`
407×	`associate-*r/_binary32`
401×	`associate-/r*_binary32`
294×	`associate-l_binary32`
270×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	3263
1	914	2876
2	3670	2694

Stop Event

1×	node limit

Counts

141 → 211

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 1))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(+.f32 0 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) u2) 2)))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 (PI.f32) u2) 2)))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 1)
(.f32 1 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2) (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)
(.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))
(pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 1)
(pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2) 1/2)
(pow.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3) 1/3)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 3)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
(exp.f32 (log.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 1))
(+.f32 0 (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (.f32 u1 u1))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))

eval317.0ms (2.6%)

Compiler: Compiled 13173 to 9301 computations (29.4% saved)

prune153.0ms (1.3%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	449	29	478
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	449	31	480

Error

0.1b

Counts

480 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	8.5b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.9b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	2.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
▶	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	29.7b	(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.4b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
	9.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

Compiler

Compiled 1023 to 887 computations (13.3% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
✓	0.3b	(expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	0.4b	(*.f32 (PI.f32) u2)

Compiler

Compiled 64 to 30 computations (53.1% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(expm1.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary32`
428×	`prod-diff_binary32`
342×	`pow-prod-down_binary32`
295×	`pow2_binary32`
269×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	283	39
2	3349	39

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))

(expm1.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))

(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (+.f32 1 (*.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 1) (+.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2) (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (log.f32 (-.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

581×	`unswap-sqr_binary32`
357×	`associate-*l/_binary32`
331×	`associate-/r*_binary32`
269×	`associate-l_binary32`
252×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	2869
1	813	2634
2	3338	2510

Stop Event

1×	node limit

Counts

113 → 178

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 (+.f32 (.f32 2/3 (pow.f32 (PI.f32) 4)) (.f32 -8/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 (+.f32 (.f32 4/3 (pow.f32 (PI.f32) 3)) (.f32 -4/3 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 1)
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(+.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(+.f32 0 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (log.f32 (sqrt.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(-.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (+.f32 1 (.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (+.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1/2)
(pow.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(sqrt.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(log.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(log1p.f32 (expm1.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(fma.f32 1 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(+.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (log.f32 (-.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (.f32 -1/2 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
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(.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1) (+.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (+.f32 1 (.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3) -1) (+.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (+.f32 1 (+.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)) (+.f32 1 (+.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (exp.f32 (.f32 2 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1) (+.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1))
(/.f32 (+.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) -1) (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)) (+.f32 1 (exp.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))
(/.f32 (expm1.f32 (.f32 2 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (+.f32 1 (exp.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1/2)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (cbrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(pow.f32 (sqrt.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(sqrt.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (exp.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(cbrt.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log1p.f32 (expm1.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(fma.f32 1 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) -1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(fma.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) -1)
(expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 3)) (log1p.f32 (-.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2) (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (log1p.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)) (log1p.f32 (.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (+.f32 (expm1.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) -1))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sin.f32 1)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (log.f32 (-.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) (log.f32 (-.f32 1 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2))) (log1p.f32 (neg.f32 (expm1.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2))) (log1p.f32 (neg.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))

localize41.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
✓	0.3b	(.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)) 2)

Compiler

Compiled 54 to 30 computations (44.4% saved)

series28.0ms (0.2%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
17.0ms	u2	@	inf	(.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2))
2.0ms	u1	@	inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
1.0ms	u1	@	-inf	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
1.0ms	u2	@	0	(.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2))
1.0ms	u1	@	0	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary32`
419×	`exp-prod_binary32`
365×	`pow-prod-down_binary32`
324×	`prod-diff_binary32`
287×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	241	48
2	2745	48

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

Inputs

(pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2)

(*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2))

(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 4) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/2) (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 5) (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (*.f32 u2 (*.f32 (PI.f32) 2)))) (cos.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))) (log.f32 (sqrt.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))) (sqrt.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 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pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))) (sqrt.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 2 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 1))))))

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

536×	`times-frac_binary32`
436×	`distribute-rgt-in_binary32`
412×	`distribute-lft-in_binary32`
365×	`associate-/l*_binary32`
343×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	4243
1	1071	4065
2	3518	3853

Stop Event

1×	node limit

Counts

150 → 239

Calls

Call 1

Inputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
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(pow.f32 (exp.f32 1) (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))) (sqrt.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1)))))
(sqrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4))
(log.f32 (pow.f32 (+.f32 u1 1) (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))))
(exp.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))
(exp.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4)) 1/2))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6)) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (log1p.f32 u1)))) 3))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1) 1))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2) 2))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 2))
(+.f32 0 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(.f32 1 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) (log1p.f32 u1))) (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))))
(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1)) 1/2)
(pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 4) 1/4)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 6) 1/6)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2) (log1p.f32 u1))) 3/2)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1/2) (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2)) (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))) (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(fabs.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1) 1/2))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2) 1))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 1))

Outputs
(.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 4 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))
(.f32 4 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 u2 u2)))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (*.f32 16/15 (pow.f32 (PI.f32) 6))))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 128/45))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 -16/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 4 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 (+.f32 (.f32 -32/315 (pow.f32 (PI.f32) 8)) (.f32 -32/45 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (.f32 (pow.f32 u2 6) (+.f32 (.f32 16/9 (pow.f32 (PI.f32) 6)) (.f32 16/15 (pow.f32 (PI.f32) 6)))))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8) (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45)))))
(fma.f32 4 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8)))))
(fma.f32 4 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 -16/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 128/45) (.f32 (.f32 (pow.f32 (PI.f32) 8) -256/315) (pow.f32 u2 8)))))
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2)
(pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2)
(.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 (*.f32 u1 u1) -1/2)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1)))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 (pow.f32 u1 3) 1/3))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1/4 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1 (.f32 (.f32 -1/4 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2)) (pow.f32 u1 4)))))
(fma.f32 -1/2 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (fma.f32 1/3 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (*.f32 (pow.f32 u1 4) -1/4)))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (.f32 -1/2 (.f32 u1 u1)))))
(.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))
(neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (neg.f32 (neg.f32 (log.f32 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log.f32 u1))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1)))))
(+.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(-.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (log.f32 u1)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2) (log.f32 (/.f32 1 u1))))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1) (fma.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1)) (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))))
(+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1) (-.f32 (.f32 -1/2 (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (.f32 u1 u1))) (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) (log.f32 u1)) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (/.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) 2) u1)))
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(pow.f32 (exp.f32 1/2) (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2)) (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 2)) (cbrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))) (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))) (sqrt.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(fabs.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1/3))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 3))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 2))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1) 1/2))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 (fma.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (log.f32 (log1p.f32 u1))) 1/2) 1))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1) 1))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize93.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3)))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.4b	(*.f32 -1/3 (pow.f32 u1 3))

Compiler

Compiled 105 to 68 computations (35.2% saved)

series8.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`prod-diff_binary32`
456×	`fma-def_binary32`
315×	`expm1-udef_binary32`
315×	`log1p-udef_binary32`
195×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	402	52
2	4808	52

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs

(*.f32 -1/3 (pow.f32 u1 3))

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

(fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (cbrt.f32 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 -1/3) (pow.f32 u1 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 u1 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -1/3) (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 3 (log.f32 u1) (log.f32 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 3 (log.f32 u1) (log.f32 -1/3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 -1/2 (*.f32 u1 u1)) 1) (*.f32 -1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) 2) (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (*.f32 -1/2 (*.f32 u1 u1)) 3) (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3)) (fma.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 -1/2 (*.f32 u1 u1)) (-.f32 (*.f32 (pow.f32 u1 6) 1/9) (*.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 -1/2 (*.f32 u1 u1))) (*.f32 (pow.f32 u1 6) 1/9)) (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))) 1))))))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary32`
518×	`fma-def_binary32`
455×	`unswap-sqr_binary32`
368×	`*-commutative_binary32`
315×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1690
1	430	1590
2	1617	1482
3	6397	1482

Stop Event

1×	node limit

Counts

75 → 91

Calls

Call 1

Inputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(*.f32 -1/2 (pow.f32 u1 2))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3)))) 1)
(pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1)
(pow.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3) 1/3)
(pow.f32 (*.f32 u1 (cbrt.f32 -1/3)) 3)
(pow.f32 (*.f32 (sqrt.f32 -1/3) (pow.f32 u1 3/2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u1 6) 1/9))
(log.f32 (pow.f32 (exp.f32 -1/3) (pow.f32 u1 3)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3)))))
(cbrt.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 3))
(expm1.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(log1p.f32 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(exp.f32 (fma.f32 3 (log.f32 u1) (log.f32 -1/3)))
(exp.f32 (*.f32 (fma.f32 3 (log.f32 u1) (log.f32 -1/3)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 1)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) 3/2) (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 3) (pow.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1))) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 -1/2 (.f32 u1 u1) (fma.f32 -1/3 (pow.f32 u1 3) (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 1))
(+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (*.f32 u1 u1)))
(+.f32 (.f32 -1/2 (.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (.f32 (.f32 -1/2 (.f32 u1 u1)) 1) (.f32 -1/3 (pow.f32 u1 3)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) 1)
(.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))) 1)
(.f32 1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1))))
(.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))) 2))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 2) (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3)) (fma.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1)) (-.f32 (.f32 (pow.f32 u1 6) 1/9) (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (-.f32 (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1))) (.f32 (pow.f32 u1 6) 1/9)) (-.f32 (.f32 -1/2 (.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3))))
(pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 1)
(pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 3)
(pow.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 2)
(pow.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 3) 1/3)
(sqrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 2))
(log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(cbrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 3))
(expm1.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(log1p.f32 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(exp.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(exp.f32 (.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))) 1))

Outputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))))
(fma.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))))))
(fma.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))))) (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (+.f32 (.f32 u2 (.f32 2 (PI.f32))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))) (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2))))))))))
(fma.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))) (fma.f32 -8/315 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (fma.f32 -4/3 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))))
(+.f32 (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 (.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (+.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 7) (.f32 -8/315 (pow.f32 (PI.f32) 7))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
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(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))) 2))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 2) (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(/.f32 (+.f32 (pow.f32 (.f32 -1/2 (.f32 u1 u1)) 3) (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3)) (fma.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1)) (-.f32 (.f32 (pow.f32 u1 6) 1/9) (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/3 (pow.f32 u1 3))))))
(/.f32 (+.f32 (pow.f32 (.f32 -1/3 (pow.f32 u1 3)) 3) (.f32 -1/8 (pow.f32 (.f32 u1 u1) 3))) (+.f32 (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1))) (-.f32 (.f32 (pow.f32 u1 6) 1/9) (.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (.f32 u1 u1))))))
(/.f32 (fma.f32 -1/27 (pow.f32 (pow.f32 u1 3) 3) (.f32 (pow.f32 u1 6) -1/8)) (fma.f32 1/4 (pow.f32 u1 4) (-.f32 (.f32 (pow.f32 u1 6) 1/9) (.f32 (pow.f32 u1 3) (.f32 (*.f32 u1 u1) 1/6)))))
(/.f32 (fma.f32 (pow.f32 u1 6) -1/8 (.f32 -1/27 (pow.f32 (pow.f32 u1 3) 3))) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 (pow.f32 u1 6) 1/9 (.f32 (pow.f32 u1 3) (.f32 (.f32 u1 u1) -1/6)))))
(/.f32 (-.f32 (.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 -1/2 (.f32 u1 u1))) (.f32 (pow.f32 u1 6) 1/9)) (-.f32 (.f32 -1/2 (.f32 u1 u1)) (*.f32 -1/3 (pow.f32 u1 3))))
(/.f32 (-.f32 (.f32 1/4 (.f32 (.f32 u1 u1) (.f32 u1 u1))) (.f32 (pow.f32 u1 6) 1/9)) (+.f32 (.f32 -1/2 (.f32 u1 u1)) (.f32 1/3 (pow.f32 u1 3))))
(/.f32 (fma.f32 1/4 (pow.f32 u1 4) (.f32 (pow.f32 u1 6) -1/9)) (fma.f32 -1/2 (.f32 u1 u1) (*.f32 (pow.f32 u1 3) 1/3)))
(/.f32 (fma.f32 1/4 (pow.f32 u1 4) (.f32 (pow.f32 u1 6) -1/9)) (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 1/3))))
(pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 1)
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(pow.f32 (cbrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 3)
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(pow.f32 (sqrt.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))) 2)
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(pow.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 3) 1/3)
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(sqrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 2))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(cbrt.f32 (pow.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))) 3))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(expm1.f32 (log1p.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(log1p.f32 (expm1.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(exp.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))
(exp.f32 (.f32 (log.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (*.f32 u1 u1)))) 1))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1)))
(fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 -1/3) -1/2))

localize111.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3)))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.7b	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

Compiler

Compiled 67 to 29 computations (56.7% saved)

series9.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms	u2	@	0	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms	u2	@	inf	(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`prod-diff_binary32`
640×	`log-prod_binary32`
227×	`expm1-udef_binary32`
227×	`log1p-udef_binary32`
223×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	333	32
2	3690	32

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))

(sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

699×	`associate-/l*_binary32`
539×	`unswap-sqr_binary32`
342×	`associate-*l/_binary32`
325×	`associate-*r/_binary32`
308×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	2566
1	795	2355
2	3108	2193

Stop Event

1×	node limit

Counts

114 → 178

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) 1) (cbrt.f32 (.f32 (PI.f32) u2)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (PI.f32))) (cbrt.f32 u2))
(.f32 (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(+.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)
(.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 2 (cos.f32 (.f32 u2 (PI.f32)))))
(+.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 2 u2))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sin.f32 1)))
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 2 (PI.f32)))))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 2 (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))) 2)
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 2 (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (.f32 2 (sin.f32 (.f32 (PI.f32) u2))) (cos.f32 (.f32 (PI.f32) u2)))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) 2))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 2 (cos.f32 (.f32 u2 (PI.f32)))))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))

eval483.0ms (4%)

Compiler: Compiled 22765 to 15527 computations (31.8% saved)

prune213.0ms (1.8%)

Pruning

37 alts after pruning (32 fresh and 5 done)

	Pruned	Kept	Total
New	834	13	847
Fresh	5	19	24
Picked	0	1	1
Done	2	4	6
Total	841	37	878

Error

0.0b

Counts

878 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	4.8b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))))) (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	7.9b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
	2.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
▶	10.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	13.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	29.7b	(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	11.8b	(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) 2)))
	21.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (-.f32 1/2 (/.f32 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32)))) 2))))
	9.4b	(sqrt.f32 (.f32 (log1p.f32 u1) (exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
	11.8b	(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 (log1p.f32 u1))))))
	9.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

Compiler

Compiled 1267 to 1076 computations (15.1% saved)

localize83.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
✓	0.3b	(expm1.f32 (log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

Compiler

Compiled 64 to 30 computations (53.1% saved)

series43.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
14.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
1.0ms	u2	@	0	(log1p.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary32`
435×	`prod-diff_binary32`
341×	`pow-prod-down_binary32`
295×	`pow2_binary32`
269×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	281	39
2	3346	39

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))

(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))

(log1p.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 2) (+.f32 1 (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 2) 1) (+.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)) 2) (cbrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)) (sqrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))) (log.f32 (sqrt.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))) (log.f32 (-.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

599×	`unswap-sqr_binary32`
351×	`associate-*l/_binary32`
337×	`associate-/r*_binary32`
288×	`associate-l_binary32`
277×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	2940
1	851	2637
2	3553	2534

Stop Event

1×	node limit

Counts

113 → 182

Calls

Call 1

Inputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 -96 (pow.f32 (PI.f32) 4)) (.f32 64 (pow.f32 (PI.f32) 4))))) (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 -8 (pow.f32 (PI.f32) 3)) (.f32 16 (pow.f32 (PI.f32) 3))))))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) 1))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(+.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(+.f32 0 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1)
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 3) 1) (+.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) (+.f32 1 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 2) 1) (+.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) 1))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/2)
(pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(fma.f32 1 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) 2) (cbrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) -1)
(+.f32 0 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))) (log.f32 (sqrt.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))
(-.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))) (log.f32 (-.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(.f32 1 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))
(log.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))

Outputs
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (.f32 u1 u1))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
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(log.f32 (+.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(log.f32 (+.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 u1 1/3)
✓	0.3b	(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))
✓	0.4b	(.f32 u2 (.f32 2 (PI.f32)))
✓	0.4b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))

Compiler

Compiled 78 to 48 computations (38.5% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod_binary32`
506×	`fma-def_binary32`
303×	`expm1-udef_binary32`
303×	`log1p-udef_binary32`
280×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	352	47
2	4677	47

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 (.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2))
(*.f32 u1 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (.f32 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u1 (.f32 u1 1/2)) (.f32 1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 1/3 (pow.f32 u1 3)) 1) (.f32 (.f32 u1 (.f32 u1 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) 1/9 -1/4)) (fma.f32 u1 1/3 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 (sqrt.f32 (fma.f32 u1 1/3 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 u1 4) (pow.f32 (fma.f32 u1 1/3 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (.f32 u1 (.f32 u1 1/2))) (exp.f32 (.f32 1/3 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (.f32 u1 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (.f32 u1 1/2) (.f32 1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (.f32 1/3 (.f32 u1 u1)) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u1 u1) (.f32 u1 1/3) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u1 u1) 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(.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u1 1/3) u1) u1 (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/2 u1) u1 (.f32 1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 1/2 (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 1/3 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u1 u1) 1/3) u1 (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (.f32 u1 1/3)) 2)) (cbrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (.f32 u1 1/3))) (sqrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (.f32 u1 1/3) (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 (*.f32 u1 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)) (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u1 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u1 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u1 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u1 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 1/27 (pow.f32 u1 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u1 u1) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 1/3) u1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u1 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 1/27 (pow.f32 u1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u1 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u1 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u1 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u1 1/3)) 1))))))

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

682×	`log-prod_binary32`
354×	`fma-neg_binary32`
252×	`cube-prod_binary32`
214×	`div-sub_binary32`
212×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	286	2367
1	678	2119
2	2390	2015
3	5456	2014

Stop Event

1×	node limit

Counts

155 → 153

Calls

Call 1

Inputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 1/2 (pow.f32 u1 2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(*.f32 1/3 (pow.f32 u1 3))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(*.f32 1/3 (pow.f32 u1 3))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(+.f32 0 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 2)
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (*.f32 u2 2)))) 1))
(+.f32 0 (.f32 (PI.f32) (.f32 u2 2)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2)))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 1)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)
(sqrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 2 (PI.f32)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 u2 2))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1))
(+.f32 (.f32 u1 (.f32 u1 1/2)) (*.f32 1/3 (pow.f32 u1 3)))
(+.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 u1 (*.f32 u1 1/2)))
(+.f32 0 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))))
(+.f32 (.f32 (.f32 1/3 (pow.f32 u1 3)) 1) (.f32 (.f32 u1 (*.f32 u1 1/2)) 1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))))) 1)
(/.f32 (+.f32 (pow.f32 (.f32 1/3 (pow.f32 u1 3)) 3) (pow.f32 (.f32 u1 (.f32 u1 1/2)) 3)) (fma.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 1/3 (pow.f32 u1 3)) (-.f32 (.f32 (.f32 u1 (.f32 u1 1/2)) (.f32 u1 (.f32 u1 1/2))) (.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 u1 (.f32 u1 1/2))))))
(/.f32 (-.f32 (.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 1/3 (pow.f32 u1 3))) (.f32 (.f32 u1 (.f32 u1 1/2)) (.f32 u1 (.f32 u1 1/2)))) (-.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 u1 (*.f32 u1 1/2))))
(/.f32 (.f32 (fma.f32 1/27 (pow.f32 u1 3) 1/8) (.f32 u1 u1)) (-.f32 (fma.f32 (.f32 u1 u1) 1/9 1/4) (.f32 u1 1/6)))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) 1/9 -1/4) (*.f32 u1 u1)) (fma.f32 u1 1/3 -1/2))
(/.f32 (.f32 (.f32 u1 u1) (fma.f32 1/27 (pow.f32 u1 3) 1/8)) (-.f32 (fma.f32 (.f32 u1 u1) 1/9 1/4) (.f32 u1 1/6)))
(/.f32 (.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) 1/9 -1/4)) (fma.f32 u1 1/3 -1/2))
(pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 1)
(pow.f32 (cbrt.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))) 3)
(pow.f32 (*.f32 u1 (sqrt.f32 (fma.f32 u1 1/3 1/2))) 2)
(pow.f32 (pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 u1 4) (pow.f32 (fma.f32 u1 1/3 1/2) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 u1) u1) (fma.f32 u1 1/3 1/2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))))))
(log.f32 (.f32 (exp.f32 (.f32 u1 (.f32 u1 1/2))) (exp.f32 (.f32 1/3 (pow.f32 u1 3)))))
(cbrt.f32 (pow.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2))) 3))
(expm1.f32 (log1p.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))
(log1p.f32 (expm1.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))
(exp.f32 (log.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 1/3 1/2)))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (*.f32 u1 (fma.f32 u1 1/3 1/2)))) 1))
(fma.f32 u1 (.f32 u1 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 u1 (.f32 u1 1/2) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 u1 (.f32 1/3 (.f32 u1 u1)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 u1 u1) (.f32 u1 1/3) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 u1 u1) 1/2 (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 u1 1/3) (.f32 u1 u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1 (.f32 u1 (.f32 u1 1/2)) (*.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1 (.f32 1/3 (pow.f32 u1 3)) (.f32 u1 (*.f32 u1 1/2)))
(fma.f32 (cbrt.f32 (pow.f32 u1 4)) (.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (cbrt.f32 (pow.f32 u1 4)) (.f32 (pow.f32 (cbrt.f32 u1) 2) 1/2) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (pow.f32 (cbrt.f32 (.f32 u1 1/3)) 2) (.f32 (cbrt.f32 (.f32 u1 1/3)) (.f32 u1 u1)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (sqrt.f32 (.f32 u1 1/3)) (.f32 (sqrt.f32 (.f32 u1 1/3)) (.f32 u1 u1)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (pow.f32 u1 3) 1/3 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 1/3 (pow.f32 u1 3)) 1 (.f32 (.f32 u1 (.f32 u1 1/2)) 1))
(fma.f32 (.f32 (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (cbrt.f32 (.f32 u1 (.f32 u1 1/2)))) (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (.f32 (cbrt.f32 (.f32 1/3 (pow.f32 u1 3))) (cbrt.f32 (.f32 1/3 (pow.f32 u1 3)))) (cbrt.f32 (.f32 1/3 (pow.f32 u1 3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 1/2))) (sqrt.f32 (.f32 u1 (.f32 u1 1/2))) (*.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (sqrt.f32 (.f32 1/3 (pow.f32 u1 3))) (sqrt.f32 (.f32 1/3 (pow.f32 u1 3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (.f32 u1 1/3) u1) u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 1/2 u1) u1 (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (.f32 1/2 (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (.f32 (.f32 u1 u1) 1/3) u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (.f32 u1 1/3)) 2)) (cbrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (.f32 u1 1/3))) (sqrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (.f32 u1 1/3) (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 (.f32 u1 1/2)))
(+.f32 0 (*.f32 u1 1/3))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)) (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 1/3))) 1)
(pow.f32 (*.f32 u1 1/3) 1)
(pow.f32 (cbrt.f32 (*.f32 u1 1/3)) 3)
(pow.f32 (sqrt.f32 (*.f32 u1 1/3)) 2)
(pow.f32 (*.f32 1/27 (pow.f32 u1 3)) 1/3)
(sqrt.f32 (.f32 (.f32 u1 u1) 1/9))
(log.f32 (pow.f32 (exp.f32 1/3) u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 1/3))))
(cbrt.f32 (*.f32 1/27 (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (*.f32 u1 1/3)))
(log1p.f32 (expm1.f32 (*.f32 u1 1/3)))
(exp.f32 (log.f32 (*.f32 u1 1/3)))
(exp.f32 (.f32 (log.f32 (.f32 u1 1/3)) 1))

Outputs
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 (PI.f32) (.f32 2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(*.f32 1/2 (pow.f32 u1 2))
(.f32 1/2 (.f32 u1 u1))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(*.f32 1/3 (pow.f32 u1 3))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(*.f32 1/3 (pow.f32 u1 3))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(+.f32 (.f32 1/2 (pow.f32 u1 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(*.f32 1/3 u1)
(+.f32 0 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))) 1)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 1)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3) 1/3)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 3)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 2)
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2)))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 2)))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) (pow.f32 (.f32 u2 (.f32 2 (PI.f32))) 2)))
(fabs.f32 (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2))) 3))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (.f32 2 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))))
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(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (cbrt.f32 (.f32 u1 (.f32 u1 1/2)))) (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (cbrt.f32 (.f32 1/3 (pow.f32 u1 3))) (cbrt.f32 (.f32 1/3 (pow.f32 u1 3)))) (cbrt.f32 (.f32 1/3 (pow.f32 u1 3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 1/2))) (sqrt.f32 (.f32 u1 (.f32 u1 1/2))) (*.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (sqrt.f32 (.f32 1/3 (pow.f32 u1 3))) (sqrt.f32 (.f32 1/3 (pow.f32 u1 3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (sqrt.f32 (.f32 u1 1/3))) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 (sqrt.f32 (.f32 u1 1/3)) u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (.f32 u1 1/3) u1) u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 1/2 u1) u1 (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 1/2 (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (cbrt.f32 (pow.f32 u1 4)) (.f32 1/2 (pow.f32 (cbrt.f32 u1) 2)) (.f32 1/3 (pow.f32 u1 3)))
(fma.f32 (.f32 (.f32 u1 u1) 1/3) u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 (.f32 u1 1/3)) 2)) (cbrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (.f32 u1 u1) (sqrt.f32 (.f32 u1 1/3))) (sqrt.f32 (.f32 u1 1/3)) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (.f32 u1 u1) (.f32 1/3 (pow.f32 u1 3)))
(.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2))
(fma.f32 (.f32 (.f32 u1 1/3) (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (cbrt.f32 (pow.f32 u1 4)) (.f32 (.f32 1/3 u1) (pow.f32 (cbrt.f32 u1) 2)) (.f32 1/2 (.f32 u1 u1)))
(fma.f32 (.f32 1/3 (.f32 u1 (cbrt.f32 (pow.f32 u1 4)))) (pow.f32 (cbrt.f32 u1) 2) (.f32 1/2 (.f32 u1 u1)))
(.f32 u1 (+.f32 (.f32 1/2 u1) (.f32 (.f32 1/3 (cbrt.f32 (pow.f32 u1 4))) (pow.f32 (cbrt.f32 u1) 2))))
(+.f32 0 (*.f32 u1 1/3))
(*.f32 1/3 u1)
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)) (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (.f32 1/3 u1)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 1/3) u1))))
(*.f32 1/3 u1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 1/3))) 1)
(*.f32 1/3 u1)
(pow.f32 (*.f32 u1 1/3) 1)
(*.f32 1/3 u1)
(pow.f32 (cbrt.f32 (*.f32 u1 1/3)) 3)
(*.f32 1/3 u1)
(pow.f32 (sqrt.f32 (*.f32 u1 1/3)) 2)
(*.f32 1/3 u1)
(pow.f32 (*.f32 1/27 (pow.f32 u1 3)) 1/3)
(cbrt.f32 (*.f32 (pow.f32 u1 3) 1/27))
(sqrt.f32 (.f32 (.f32 u1 u1) 1/9))
(sqrt.f32 (.f32 u1 (.f32 u1 1/9)))
(log.f32 (pow.f32 (exp.f32 1/3) u1))
(*.f32 1/3 u1)
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 1/3))))
(*.f32 1/3 u1)
(cbrt.f32 (*.f32 1/27 (pow.f32 u1 3)))
(cbrt.f32 (*.f32 (pow.f32 u1 3) 1/27))
(expm1.f32 (log1p.f32 (*.f32 u1 1/3)))
(*.f32 1/3 u1)
(log1p.f32 (expm1.f32 (*.f32 u1 1/3)))
(*.f32 1/3 u1)
(exp.f32 (log.f32 (*.f32 u1 1/3)))
(*.f32 1/3 u1)
(exp.f32 (.f32 (log.f32 (.f32 u1 1/3)) 1))
(*.f32 1/3 u1)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))
✓	0.4b	(.f32 u2 (.f32 (PI.f32) 2))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))

Compiler

Compiled 47 to 23 computations (51.1% saved)

series10.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary32`
408×	`prod-diff_binary32`
328×	`pow-prod-down_binary32`
270×	`pow2_binary32`
244×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	260	35
2	3122	35

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 u2 (.f32 (PI.f32) 2))
(log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1)) 2) (cbrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1)) (sqrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))) (log.f32 (sqrt.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)) (log.f32 (+.f32 1 (-.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4) (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4))) (log.f32 (-.f32 1 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1) 1))))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

586×	`unswap-sqr_binary32`
292×	`associate-r_binary32`
280×	`log-prod_binary32`
277×	`fma-def_binary32`
260×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	3132
1	959	2769
2	4119	2576

Stop Event

1×	node limit

Counts

116 → 214

Calls

Call 1

Inputs
(.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))) u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (+.f32 1 (.f32 2 (*.f32 u2 (PI.f32))))) u1)))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 3)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))) u1))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 8/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 8/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 -1/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 (.f32 2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 -1/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 1/24 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 (.f32 -2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 (.f32 -2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 (.f32 -2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 -1/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 (.f32 -2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 -1/8 (.f32 (/.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 1/24 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 8/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -4 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (log.f32 (.f32 2 (PI.f32))))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (+.f32 (log.f32 (.f32 2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (+.f32 (log.f32 (.f32 2 (PI.f32))) (.f32 -1 (log.f32 (/.f32 1 u2))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (+.f32 (log.f32 (.f32 2 (PI.f32))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u2))) (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (log.f32 (.f32 -2 (PI.f32))))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (log.f32 (.f32 -2 (PI.f32)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (log.f32 (.f32 -2 (PI.f32))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (.f32 1/2 (/.f32 1 (.f32 u2 (PI.f32)))) (+.f32 (.f32 1/24 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (log.f32 (.f32 -2 (PI.f32)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
(log.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))) 1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(log1p.f32 (-.f32 (pow.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) (sqrt.f32 (log1p.f32 u1))) 1))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 1) 1))
(+.f32 0 (.f32 u2 (.f32 (PI.f32) 2)))
(+.f32 (.f32 u2 (PI.f32)) (.f32 u2 (PI.f32)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 2 u2)))))
(-.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) 1)
(pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 1)
(pow.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 4) 1/2)
(pow.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3)
(pow.f32 (sqrt.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2)
(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 4))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 3))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (log.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(exp.f32 (.f32 (log.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u2 (*.f32 (PI.f32) 2)) 3)) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1) 1))
(fma.f32 1 (fma.f32 u2 (*.f32 (PI.f32) 2) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) 2) (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) -1)
(+.f32 0 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1))) (log.f32 (sqrt.f32 (fma.f32 u2 (.f32 (PI.f32) 2) 1))))
(-.f32 (log1p.f32 (pow.f32 (.f32 u2 (.f32 (PI.f32) 2)) 3)) (log.f32 (+.f32 1 (-.f32 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 4) (.f32 u2 (.f32 (PI.f32) 2))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(-.f32 (log.f32 (-.f32 1 (.f32 (pow.f32 (.f32 u2 (PI.f32)) 2) 4))) (log.f32 (-.f32 1 (.f32 u2 (.f32 (PI.f32) 2)))))
(.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1)
(.f32 1 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) (cbrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)
(pow.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(log.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 1) 1))

Outputs
(.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sqrt.f32 -1) (.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sqrt.f32 -1) (.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (.f32 (log1p.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (log.f32 (+.f32 1 (.f32 2 (.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
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(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) (cbrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/2)
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/3)
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (fma.f32 u2 (*.f32 (PI.f32) 2) 1))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1/3))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 3))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))) 2))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 1) 1))
(log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (.f32 2 (.f32 u2 (PI.f32))))

localize84.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log1p.f32 (*.f32 u1 (neg.f32 u1)))
✓	0.2b	(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

Compiler

Compiled 78 to 26 computations (66.7% saved)

series49.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`prod-diff_binary32`
721×	`log-prod_binary32`
313×	`fma-def_binary32`
256×	`expm1-udef_binary32`
256×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	332	42
2	4286	42

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

(log1p.f32 (*.f32 u1 (neg.f32 u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u1 u1)) (neg.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u1 u1)) (*.f32 (neg.f32 (log1p.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 -1 (log1p.f32 u1) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 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(log.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 1) (+.f32 u1 1)))) (log.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 1) (+.f32 u1 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 u1 u1 1)) (cbrt.f32 (fma.f32 u1 u1 1)))) (log.f32 (cbrt.f32 (fma.f32 u1 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 u1)) (log.f32 (hypot.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 u1 u1) 3)) (log.f32 (+.f32 1 (fma.f32 u1 (pow.f32 u1 3) (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 (pow.f32 u1 3)))) (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 u1 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))) 1))))))

simplify123.0ms (1%)

Algorithm

1×	egg-herbie

Rules

657×	`unswap-sqr_binary32`
629×	`fma-neg_binary32`
479×	`cancel-sign-sub-inv_binary32`
268×	`sub-neg_binary32`
250×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	5407
1	1295	4837
2	4279	4772

Stop Event

1×	node limit

Counts

230 → 340

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (.f32 -1 (pow.f32 u1 2)))))))
(*.f32 -1 u1)
(+.f32 (.f32 -1 u1) (.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (.f32 -1 u1) (+.f32 (.f32 -1/4 (pow.f32 u1 4)) (+.f32 (.f32 -1/3 (pow.f32 u1 3)) (.f32 -1/2 (pow.f32 u1 2)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (.f32 -1 (log.f32 (/.f32 -1 u1))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(*.f32 -1 (pow.f32 u1 2))
(+.f32 (.f32 -1 (pow.f32 u1 2)) (.f32 -1/2 (pow.f32 u1 4)))
(+.f32 (.f32 -1/3 (pow.f32 u1 6)) (+.f32 (.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4))))
(+.f32 (.f32 -1/3 (pow.f32 u1 6)) (+.f32 (.f32 -1/4 (pow.f32 u1 8)) (+.f32 (.f32 -1 (pow.f32 u1 2)) (.f32 -1/2 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 0 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))
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(fma.f32 1 (neg.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
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(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (neg.f32 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (*.f32 (neg.f32 (log1p.f32 u1)) 1))
(fma.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (neg.f32 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (*.f32 (neg.f32 (log1p.f32 u1)) 1))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (neg.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (neg.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2) (neg.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (.f32 (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (neg.f32 (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (*.f32 (neg.f32 (log1p.f32 u1)) 1))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (fma.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (.f32 u1 u1)) (.f32 -1 (neg.f32 (log1p.f32 u1))))
(fma.f32 -1 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 -1 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 -1 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 -1 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (.f32 (cbrt.f32 (neg.f32 (log1p.f32 u1))) (cbrt.f32 (neg.f32 (log1p.f32 u1)))) (cbrt.f32 (neg.f32 (log1p.f32 u1))) (log1p.f32 (.f32 u1 u1)))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(+.f32 0 (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 u1 u1 1)) (cbrt.f32 (fma.f32 u1 u1 1)))) (log.f32 (cbrt.f32 (fma.f32 u1 u1 1))))
(+.f32 (log.f32 (hypot.f32 1 u1)) (log.f32 (hypot.f32 1 u1)))
(-.f32 (log1p.f32 (pow.f32 (.f32 u1 u1) 3)) (log.f32 (+.f32 1 (fma.f32 u1 (pow.f32 u1 3) (.f32 u1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)
(-.f32 (log.f32 (-.f32 1 (.f32 u1 (pow.f32 u1 3)))) (log1p.f32 (.f32 u1 u1)))
(.f32 (log1p.f32 (.f32 u1 u1)) 1)
(.f32 1 (log1p.f32 (.f32 u1 u1)))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))
(log.f32 (fma.f32 u1 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u1 u1))) 1))

Outputs
(.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (.f32 (neg.f32 (log.f32 u1)) -2)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
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(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
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(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 -1 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1)) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))
(fma.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4)) (pow.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)) 1/4) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (.f32 (cbrt.f32 (neg.f32 (log1p.f32 u1))) (cbrt.f32 (neg.f32 (log1p.f32 u1)))) (cbrt.f32 (neg.f32 (log1p.f32 u1))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (sqrt.f32 (neg.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (-.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (fma.f32 -1 (log1p.f32 u1) (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (*.f32 0 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) 0)
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (fma.f32 -1 (log1p.f32 u1) (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (*.f32 0 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) 0)
(fma.f32 (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (fma.f32 -1 (log1p.f32 u1) (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))))) (*.f32 0 (log1p.f32 u1)))
(fma.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) 0)
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1))) 2)) (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (log1p.f32 u1)) 1 (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (.f32 -1 (sqrt.f32 (-.f32 (log1p.f32 (.f32 u1 u1)) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))) (+.f32 (neg.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(fma.f32 -1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(+.f32 0 (log1p.f32 (*.f32 u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 u1 u1 1)) (cbrt.f32 (fma.f32 u1 u1 1)))) (log.f32 (cbrt.f32 (fma.f32 u1 u1 1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (fma.f32 u1 u1 1)))) (log.f32 (cbrt.f32 (fma.f32 u1 u1 1))))
(+.f32 (log.f32 (hypot.f32 1 u1)) (log.f32 (hypot.f32 1 u1)))
(*.f32 2 (log.f32 (hypot.f32 1 u1)))
(-.f32 (log1p.f32 (pow.f32 (.f32 u1 u1) 3)) (log.f32 (+.f32 1 (fma.f32 u1 (pow.f32 u1 3) (.f32 u1 u1)))))
(-.f32 (log1p.f32 (pow.f32 u1 6)) (log1p.f32 (fma.f32 u1 (pow.f32 u1 3) (*.f32 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 6)) (log1p.f32 (+.f32 (pow.f32 u1 4) (*.f32 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)
(log1p.f32 (*.f32 u1 u1))
(-.f32 (log.f32 (-.f32 1 (.f32 u1 (pow.f32 u1 3)))) (log1p.f32 (.f32 u1 u1)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 4))) (log1p.f32 (*.f32 u1 u1)))
(.f32 (log1p.f32 (.f32 u1 u1)) 1)
(log1p.f32 (*.f32 u1 u1))
(.f32 1 (log1p.f32 (.f32 u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u1 u1)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 u1 u1))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)
(log1p.f32 (*.f32 u1 u1))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))
(log1p.f32 (*.f32 u1 u1))
(log.f32 (fma.f32 u1 u1 1))
(log1p.f32 (*.f32 u1 u1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))
(log1p.f32 (*.f32 u1 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 u1 u1))) 1))
(log1p.f32 (*.f32 u1 u1))

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 (.f32 (PI.f32) u2) 2))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)

Compiler

Compiled 66 to 32 computations (51.5% saved)

series7.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	0	(pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)
1.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)
1.0ms	u2	@	-inf	(pow.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 (PI.f32) u2) 2))) 2)
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary32`
393×	`prod-diff_binary32`
362×	`pow-prod-down_binary32`
292×	`pow2_binary32`
279×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	305	37
2	3379	37

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 2)

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 2))

(sin.f32 (*.f32 (*.f32 (PI.f32) u2) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/4) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/4) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 5/6) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (cos.f32 1)) (*.f32 (cos.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (sin.f32 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/4) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/4) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 5/6) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 1))))))

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary32`
425×	`unswap-sqr_binary32`
342×	`associate-*l/_binary32`
324×	`associate-*r/_binary32`
308×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	4294970034
1	663	2540
2	2717	2434

Stop Event

1×	node limit

Counts

110 → 124

Calls

Call 1

Inputs
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 2 (.f32 u2 (PI.f32))) (+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(+.f32 0 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1)
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 1 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/4) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3/4))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3/4) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1/4))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 5/6) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1/6))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(+.f32 0 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(+.f32 0 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))) 1)
(-.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (cos.f32 1)) (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 u2 (.f32 (PI.f32) 2))))) (sin.f32 1)))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2))))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1)
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (sqrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 1 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2) (cbrt.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/4) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3/4))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3/4) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1/4))
(.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 5/6) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 1/6))
(pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 2)
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3/2) 2/3)
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2) 1/2)
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3) 1/3)
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/6) 6)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/4) 4)
(sqrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(log.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))

Outputs
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1)))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 -1)) (.f32 (.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (.f32 u1 u1))) (.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
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(pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) 3)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 1/4) 4)
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 2))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (exp.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) 3))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2)))) 1))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))

eval951.0ms (7.9%)

Compiler: Compiled 33950 to 21322 computations (37.2% saved)

prune383.0ms (3.2%)

Pruning

48 alts after pruning (40 fresh and 8 done)

	Pruned	Kept	Total
New	1128	17	1145
Fresh	4	23	27
Picked	0	1	1
Done	2	7	9
Total	1134	48	1182

Error

0.0b

Counts

1182 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
	8.1b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 3)
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	8.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
	8.0b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
	8.1b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
✓	7.9b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
	2.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
	8.6b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))))
▶	8.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
	11.2b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (.f32 -1/2 (pow.f32 u1 4)) (.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 3)) (+.f32 1 (.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	10.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	29.7b	(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))
	14.0b	(.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	6.3b	(.f32 (PI.f32) (.f32 (.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	11.8b	(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
	7.9b	(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) 2)))
	21.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (-.f32 1/2 (/.f32 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32)))) 2))))
▶	11.8b	(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 (log1p.f32 u1))))))
	9.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

Compiler

Compiled 1710 to 1410 computations (17.5% saved)

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
	0.4b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.7b	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)

Compiler

Compiled 67 to 36 computations (46.3% saved)

series58.0ms (0.5%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
7.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary32`
465×	`prod-diff_binary32`
313×	`pow2_binary32`
293×	`pow-unpow_binary32`
221×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	329	20
2	3657	20

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 3) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 u1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))

simplify116.0ms (1%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-/l*_binary32`
523×	`associate-/r*_binary32`
385×	`unswap-sqr_binary32`
336×	`associate-r_binary32`
312×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	441	4728
1	1315	4161
2	4727	4013

Stop Event

1×	node limit

Counts

89 → 153

Calls

Call 1

Inputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/9))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 2/9 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))) (+.f32 (.f32 (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (/.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3) (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))))) (.f32 2/9 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 8)) 1/9)))) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 1/3 (+.f32 (.f32 -1/27 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 2)) 1/3)) (.f32 2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 5)) 1/9))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))))))
(.f32 -1 (.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 1 1/3)))
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(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))

Outputs
(.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1)))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (.f32 (.f32 -2/3 (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (/.f32 1 u1))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (*.f32 (/.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (/.f32 u1 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18))) -1))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 u1 2)) (pow.f32 1 1/3))) (+.f32 (.f32 (pow.f32 1 1/3) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) (+.f32 (.f32 -2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9) (/.f32 1 u1))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9))) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3))) (.f32 1/9 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))) 4)) 1/9))) (pow.f32 u1 2)) (pow.f32 (.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))) 1/3)) (.f32 2/9 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))) 1/9) (/.f32 1 (pow.f32 u1 2)))))))))
(fma.f32 -1/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (fma.f32 -1/3 (/.f32 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)))) 1) (.f32 u1 u1)) (+.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (fma.f32 -2/3 (.f32 (/.f32 1 u1) (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4) 1/18))) (fma.f32 (/.f32 (fma.f32 -2/3 (.f32 (+.f32 1/2 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)))) (cbrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) 4)) 1/18)))) (.f32 u1 u1)) (cbrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 2/9 (.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) 1/18)) (/.f32 1 (.f32 u1 u1)))))))))
(fma.f32 -1/3 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) (+.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4) 1/18)) u1) -2/3 (fma.f32 (/.f32 (fma.f32 1/9 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 -1) (log.f32 u1)) 4)) 1/18)) (.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18)) 1/2) (.f32 -2/3 (cbrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (.f32 u1 u1)) (cbrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (/.f32 (.f32 (.f32 2/9 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18)) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18)) (.f32 u1 u1)))) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/18)) 1/2) (.f32 u1 u1)) (+.f32 (log.f32 -1) (log.f32 u1)))))
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(+.f32 (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (.f32 -4/3 (sqrt.f32 -1)) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 -8/315 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))) (.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 -1)))) (.f32 (.f32 (PI.f32) (.f32 2 u2)) (sqrt.f32 -1)))))
(.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (.f32 (sqrt.f32 -1) (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (PI.f32) (*.f32 2 u2))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(+.f32 0 (log1p.f32 u1))
(log1p.f32 u1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 u1 1)) 2)) (log.f32 (cbrt.f32 (+.f32 u1 1))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (+.f32 1 u1)))) (log.f32 (cbrt.f32 (+.f32 1 u1))))
(*.f32 3 (log.f32 (cbrt.f32 (+.f32 1 u1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 u1 1))) (log.f32 (sqrt.f32 (+.f32 u1 1))))
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 u1))))
(-.f32 0 (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(log1p.f32 u1)
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) -1)
(neg.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(neg.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(*.f32 1 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(neg.f32 (log1p.f32 u1))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(log1p.f32 u1)
(.f32 (pow.f32 (log1p.f32 u1) 1/4) (.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(log1p.f32 u1)
(*.f32 -1 (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 3) (pow.f32 (log1p.f32 u1) 1/4))
(log1p.f32 u1)
(*.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (log1p.f32 u1))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (log1p.f32 u1) 1/6))
(log1p.f32 u1)
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(neg.f32 (log1p.f32 u1))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)) 1/2)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(fabs.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(fabs.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) 1))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))
✓	0.1b	(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
✓	0.3b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
	0.4b	(.f32 u2 (.f32 2 (PI.f32)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series7.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`log-prod_binary32`
479×	`pow-prod-down_binary32`
342×	`pow2_binary32`
337×	`fma-def_binary32`
293×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	274	38
2	3491	38

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1))))
(+.f32 u1 (.f32 1/2 (.f32 u1 u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (*.f32 2 (*.f32 (PI.f32) u2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) (hypot.f32 u1 (sqrt.f32 (-.f32 (*.f32 1/4 (pow.f32 u1 4)) (*.f32 (pow.f32 u1 3) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (*.f32 u1 (sqrt.f32 1/2)) (sqrt.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f32 (sqrt.f32 u1) (*.f32 u1 (sqrt.f32 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1)))) (/.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (fma.f32 u1 1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u1 (+.f32 1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u1 (fma.f32 u1 1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2) (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (*.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4))) (/.f32 1 (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 u1 1/2 1) u1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (fma.f32 u1 u1 (*.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (-.f32 (fma.f32 u1 u1 (*.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (-.f32 (*.f32 u1 u1) (*.f32 (pow.f32 u1 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) (neg.f32 (-.f32 (fma.f32 u1 u1 (*.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4)))) (neg.f32 (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 1/4 (pow.f32 u1 4) (neg.f32 (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 u1 u1) (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (fma.f32 u1 u1 (*.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 u1 (*.f32 -1/2 (*.f32 u1 u1))) (-.f32 (*.f32 u1 u1) (*.f32 1/4 (pow.f32 u1 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 u1)) (sqrt.f32 (exp.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (exp.f32 u1) (+.f32 1 (expm1.f32 (*.f32 u1 (*.f32 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 u1)) (+.f32 1 (expm1.f32 (*.f32 u1 (*.f32 u1 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (*.f32 u1 1/2)))) (exp.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (sqrt.f32 (exp.f32 (*.f32 u1 u1))) (+.f32 1 (expm1.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (*.f32 u1 1/2)))) (+.f32 1 (expm1.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 1 (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (*.f32 u1 1/2) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1/2 (*.f32 u1 u1) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 u1) 1/2 u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (*.f32 u1 1/2)) 1 u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 u1 (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 u1 (*.f32 u1 1/2)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 u1 (*.f32 u1 1/2))) (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (*.f32 u1 (*.f32 u1 1/2))) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2) (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1) (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (cbrt.f32 u1) u1) (*.f32 (pow.f32 (cbrt.f32 u1) 2) 1/2) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 (sqrt.f32 1/2)) (*.f32 u1 (sqrt.f32 1/2)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 u1 1/2) u1 u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (*.f32 (cbrt.f32 u1) u1)) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (*.f32 u1 (*.f32 u1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 1/2 (*.f32 (cbrt.f32 u1) u1)) (pow.f32 (cbrt.f32 u1) 2) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 1/2) 1) u1 u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) u1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (*.f32 u1 1/2) (sqrt.f32 u1)) (sqrt.f32 u1) u1)))))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary32`
478×	`times-frac_binary32`
476×	`distribute-lft-in_binary32`
377×	`associate-/r*_binary32`
248×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	2645
1	781	2518
2	2543	2420

Stop Event

1×	node limit

Counts

155 → 226

Calls

Call 1

Inputs
(.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))))
(+.f32 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2)) (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (*.f32 u1 (PI.f32))))))
(+.f32 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))))))
(+.f32 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32))))) (.f32 1/8 (/.f32 (.f32 u2 (PI.f32)) (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))))
(.f32 -2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))))
(+.f32 (.f32 -2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32))))) (.f32 -1 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2))))
(+.f32 (.f32 1/4 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 -2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32))))) (.f32 -1 (/.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 1/2)))))
(+.f32 (.f32 -1/8 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))) (+.f32 (.f32 1/4 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (+.f32 (.f32 -2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32))))) (.f32 -1 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2))))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))))
(*.f32 (sqrt.f32 1/2) u1)
(+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 (sqrt.f32 1/2) u1)) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (+.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2)))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))))
(.f32 -1 (.f32 (sqrt.f32 1/2) u1))
(-.f32 (.f32 -1 (.f32 (sqrt.f32 1/2) u1)) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (*.f32 1/2 (/.f32 1 (sqrt.f32 1/2))))
(-.f32 (+.f32 (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 -1 (.f32 (sqrt.f32 1/2) u1))) (+.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 1/2))) (.f32 1/16 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 1/2) 5) (pow.f32 u1 2))))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(*.f32 1/2 (pow.f32 u1 2))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(*.f32 1/2 (pow.f32 u1 2))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 0 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))))) 1)
(pow.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))) 1)
(pow.f32 (.f32 (.f32 u1 (fma.f32 u1 1/2 1)) (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (.f32 (.f32 u1 (fma.f32 u1 1/2 1)) (pow.f32 (.f32 2 (.f32 (PI.f32) u2)) 2)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (*.f32 (PI.f32) u2)))) 1))
(+.f32 0 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))) 1)
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1)
(.f32 1 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1/6) (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4))
(.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))))
(/.f32 (sqrt.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) (hypot.f32 u1 (sqrt.f32 (-.f32 (.f32 1/4 (pow.f32 u1 4)) (.f32 (pow.f32 u1 3) 1/2)))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))) (sqrt.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1)))))
(pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/2)
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 1)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2) 1/4)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/6)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2) 1/3)
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 3/2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) 3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) 2)
(fabs.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2))
(hypot.f32 (*.f32 u1 (sqrt.f32 1/2)) (sqrt.f32 u1))
(hypot.f32 (sqrt.f32 u1) (*.f32 u1 (sqrt.f32 1/2)))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))) 1)
(-.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 (.f32 -1/2 (.f32 u1 u1)))) (/.f32 (.f32 1/4 (pow.f32 u1 4)) (+.f32 u1 (.f32 -1/2 (.f32 u1 u1)))))
(*.f32 u1 (fma.f32 u1 1/2 1))
(.f32 u1 (+.f32 1 (.f32 u1 1/2)))
(.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1)
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(.f32 1 (.f32 u1 (fma.f32 u1 1/2 1)))
(.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 2) (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2))))
(.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (/.f32 1 (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1)))))
(*.f32 (fma.f32 u1 1/2 1) u1)
(.f32 (sqrt.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 3/2)) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6))
(/.f32 1 (/.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))))
(/.f32 1 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (-.f32 (.f32 u1 u1) (.f32 (pow.f32 u1 3) 1/2))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) (neg.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2))))
(/.f32 (neg.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))) (neg.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1)))))
(/.f32 (fma.f32 1/4 (pow.f32 u1 4) (neg.f32 (.f32 u1 u1))) (fma.f32 1/2 (.f32 u1 u1) (neg.f32 u1)))
(pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1)
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2) 2/3)
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) 6)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) 4)
(pow.f32 (/.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) -1)
(pow.f32 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))) -1)
(sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2))
(log.f32 (exp.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 u1)) (sqrt.f32 (exp.f32 (.f32 u1 u1)))))
(log.f32 (.f32 (exp.f32 u1) (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 u1)) (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2)))) (exp.f32 u1)))
(log.f32 (.f32 (sqrt.f32 (exp.f32 (.f32 u1 u1))) (+.f32 1 (expm1.f32 u1))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2)))) (+.f32 1 (expm1.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3))
(expm1.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(log1p.f32 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(exp.f32 (log.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1))
(fma.f32 u1 1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 u1 (*.f32 u1 1/2) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) 1/2 u1)
(fma.f32 (.f32 u1 (.f32 u1 1/2)) 1 u1)
(fma.f32 1 u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1 (.f32 u1 (.f32 u1 1/2)) u1)
(fma.f32 (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) u1)
(fma.f32 (cbrt.f32 (.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (.f32 u1 (*.f32 u1 1/2))) u1)
(fma.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (.f32 (cbrt.f32 u1) u1) (.f32 (pow.f32 (cbrt.f32 u1) 2) 1/2) u1)
(fma.f32 (.f32 u1 (sqrt.f32 1/2)) (.f32 u1 (sqrt.f32 1/2)) u1)
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 (*.f32 u1 1/2) u1 u1)
(fma.f32 (sqrt.f32 (.f32 (cbrt.f32 u1) u1)) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (.f32 u1 (*.f32 u1 1/2)))
(fma.f32 (.f32 1/2 (.f32 (cbrt.f32 u1) u1)) (pow.f32 (cbrt.f32 u1) 2) u1)
(fma.f32 (.f32 (.f32 u1 1/2) 1) u1 u1)
(fma.f32 (.f32 (.f32 u1 1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) u1)
(fma.f32 (.f32 (.f32 u1 1/2) (sqrt.f32 u1)) (sqrt.f32 u1) u1)

Outputs
(.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))))
(.f32 (sqrt.f32 1/2) (.f32 (.f32 u1 (.f32 u2 (PI.f32))) 2))
(+.f32 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2)) (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (*.f32 u1 (PI.f32))))))
(+.f32 (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32))))) (/.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 1/2)))
(fma.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))) (.f32 (/.f32 u2 (sqrt.f32 1/2)) (PI.f32)))
(.f32 (PI.f32) (+.f32 (.f32 (.f32 2 (sqrt.f32 1/2)) (.f32 u2 u1)) (/.f32 u2 (sqrt.f32 1/2))))
(+.f32 (/.f32 (.f32 u2 (PI.f32)) (sqrt.f32 1/2)) (+.f32 (.f32 -1/4 (/.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (sqrt.f32 1/2) 3) u1))) (.f32 2 (.f32 (sqrt.f32 1/2) (.f32 u2 (.f32 u1 (PI.f32)))))))
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(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)))
(.f32 (pow.f32 (.f32 u1 (fma.f32 1/2 u1 1)) 1/4) (fabs.f32 (pow.f32 (*.f32 u1 (fma.f32 1/2 u1 1)) 3/4)))
(.f32 (pow.f32 (fma.f32 1/2 (.f32 u1 u1) u1) 1/4) (pow.f32 (fma.f32 1/2 (*.f32 u1 u1) u1) 3/4))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 (pow.f32 u1 3) 1/2))))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (/.f32 1 (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1)))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(*.f32 (fma.f32 u1 1/2 1) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(.f32 (sqrt.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 3/2)) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4))
(.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 1/4) (sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)))
(.f32 (pow.f32 (.f32 u1 (fma.f32 1/2 u1 1)) 1/4) (fabs.f32 (pow.f32 (*.f32 u1 (fma.f32 1/2 u1 1)) 3/4)))
(.f32 (pow.f32 (fma.f32 1/2 (.f32 u1 u1) u1) 1/4) (pow.f32 (fma.f32 1/2 (*.f32 u1 u1) u1) 3/4))
(.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1)))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 (cbrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6)))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 1/2 u1 1))) (.f32 (cbrt.f32 (.f32 u1 (fma.f32 1/2 u1 1))) (pow.f32 (*.f32 u1 (fma.f32 1/2 u1 1)) 1/6)))
(.f32 (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)) (pow.f32 (pow.f32 (fma.f32 1/2 (*.f32 u1 u1) u1) 1/6) 3))
(/.f32 1 (/.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(/.f32 1 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (-.f32 (.f32 u1 u1) (.f32 (pow.f32 u1 3) 1/2))))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(/.f32 (neg.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) (neg.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2))))
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(/.f32 (neg.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))) (neg.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1)))))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(/.f32 (fma.f32 1/4 (pow.f32 u1 4) (neg.f32 (.f32 u1 u1))) (fma.f32 1/2 (.f32 u1 u1) (neg.f32 u1)))
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 2)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2) 1/2)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/3)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2) 2/3)
(.f32 (cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 3/2)) (cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3/2)))
(.f32 (cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 1/2 u1 1)) 3/2)) (cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 1/2 u1 1)) 3/2)))
(.f32 (cbrt.f32 (pow.f32 (fma.f32 1/2 (.f32 u1 u1) u1) 3/2)) (cbrt.f32 (pow.f32 (fma.f32 1/2 (*.f32 u1 u1) u1) 3/2)))
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 1/2 1))) 3)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/6) 6)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 1/4) 4)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(pow.f32 (/.f32 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (.f32 (pow.f32 u1 3) 1/2)) (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3))) -1)
(.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (/.f32 1 (-.f32 (fma.f32 u1 u1 (.f32 1/4 (pow.f32 u1 4))) (*.f32 1/2 (pow.f32 u1 3)))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 u1 u1 (*.f32 (pow.f32 u1 3) -1/2))))
(/.f32 (fma.f32 1/8 (pow.f32 u1 6) (pow.f32 u1 3)) (fma.f32 1/4 (pow.f32 u1 4) (.f32 u1 (fma.f32 (.f32 u1 u1) -1/2 u1))))
(pow.f32 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))) -1)
(/.f32 (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4))) (+.f32 u1 (.f32 (.f32 u1 u1) -1/2)))
(/.f32 (fma.f32 u1 u1 (.f32 -1/4 (pow.f32 u1 4))) (fma.f32 (.f32 u1 u1) -1/2 u1))
(sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 2))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (exp.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1)))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (.f32 (+.f32 1 (expm1.f32 u1)) (sqrt.f32 (exp.f32 (.f32 u1 u1)))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 u1)) (sqrt.f32 (pow.f32 (exp.f32 u1) u1))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) u1))) (log1p.f32 (expm1.f32 u1)))
(+.f32 u1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) u1))))
(log.f32 (.f32 (exp.f32 u1) (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2))))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (.f32 (+.f32 1 (expm1.f32 u1)) (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2))))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2)))) (exp.f32 u1)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log.f32 (.f32 (sqrt.f32 (exp.f32 (.f32 u1 u1))) (+.f32 1 (expm1.f32 u1))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 u1)) (sqrt.f32 (pow.f32 (exp.f32 u1) u1))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) u1))) (log1p.f32 (expm1.f32 u1)))
(+.f32 u1 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u1) u1))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 u1 (*.f32 u1 1/2)))) (+.f32 1 (expm1.f32 u1))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 1/2 1)) 3))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(expm1.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(log1p.f32 (expm1.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(exp.f32 (log.f32 (*.f32 u1 (fma.f32 u1 1/2 1))))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 u1 1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 u1 (*.f32 u1 1/2) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (*.f32 u1 u1) 1/2 u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 u1 (.f32 u1 1/2)) 1 u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 1 u1 (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 1 (.f32 u1 (.f32 u1 1/2)) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (cbrt.f32 (.f32 u1 (.f32 u1 1/2))) (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) u1)
(fma.f32 (cbrt.f32 (.f32 1/2 (.f32 u1 u1))) (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) u1)
(fma.f32 (cbrt.f32 (.f32 1/4 (pow.f32 u1 4))) (cbrt.f32 (.f32 u1 (*.f32 u1 1/2))) u1)
(fma.f32 (cbrt.f32 (.f32 1/2 (.f32 u1 u1))) (cbrt.f32 (*.f32 1/4 (pow.f32 u1 4))) u1)
(fma.f32 (cbrt.f32 u1) (pow.f32 (cbrt.f32 u1) 2) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 (cbrt.f32 u1) u1) (.f32 (pow.f32 (cbrt.f32 u1) 2) 1/2) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 u1 (sqrt.f32 1/2)) (.f32 u1 (sqrt.f32 1/2)) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (.f32 u1 (.f32 u1 1/2)))
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (*.f32 u1 1/2) u1 u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (sqrt.f32 (.f32 (cbrt.f32 u1) u1)) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (.f32 u1 (*.f32 u1 1/2)))
(fma.f32 (sqrt.f32 (.f32 u1 (cbrt.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (.f32 1/2 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (.f32 u1 (cbrt.f32 u1))) (fabs.f32 (cbrt.f32 u1)) (.f32 1/2 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (.f32 u1 (cbrt.f32 u1))) (cbrt.f32 u1) (.f32 1/2 (*.f32 u1 u1)))
(fma.f32 (.f32 1/2 (.f32 (cbrt.f32 u1) u1)) (pow.f32 (cbrt.f32 u1) 2) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 (.f32 u1 1/2) 1) u1 u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 (.f32 u1 1/2) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))
(fma.f32 (.f32 (.f32 u1 1/2) (sqrt.f32 u1)) (sqrt.f32 u1) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(*.f32 u1 (fma.f32 1/2 u1 1))

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 u2 (log1p.f32 u1))
✓	0.3b	(.f32 u2 (.f32 u2 (log1p.f32 u1)))
✓	0.4b	(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 (log1p.f32 u1))))
✓	1.0b	(pow.f32 (PI.f32) 2)

Compiler

Compiled 58 to 25 computations (56.9% saved)

series18.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	0	(*.f32 u2 (log1p.f32 u1))
4.0ms	u1	@	inf	(*.f32 u2 (log1p.f32 u1))
1.0ms	u2	@	0	(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 (log1p.f32 u1))))
1.0ms	u2	@	inf	(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 (log1p.f32 u1))))
1.0ms	u1	@	inf	(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 (log1p.f32 u1))))

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary32`
822×	`add-log-exp_binary32`
822×	`expm1-log1p-u_binary32`
821×	`log1p-expm1-u_binary32`
802×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	202	35
2	2325	35

Stop Event

1×	node limit

Counts

4 → 55

Calls

Call 1

Inputs
(pow.f32 (PI.f32) 2)
(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 (log1p.f32 u1))))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(*.f32 u2 (log1p.f32 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (pow.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (PI.f32) 4)) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3) (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3) (pow.f32 (pow.f32 (PI.f32) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (sqrt.f32 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 u2 (log1p.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (*.f32 u2 (log1p.f32 u1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 u2 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (+.f32 u1 1) u2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (log1p.f32 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 (log1p.f32 u1))))))))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-def_binary32`
689×	`fma-neg_binary32`
622×	`log-prod_binary32`
395×	`times-frac_binary32`
258×	`associate-+l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2168
1	586	2097
2	2219	1809
3	7025	1809

Stop Event

1×	node limit

Counts

127 → 206

Calls

Call 1

Inputs
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 4)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2)))))))
(.f32 -1 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2)))))
(+.f32 (.f32 1/3 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2))))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2)))))
(+.f32 (.f32 1/3 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2))))))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) (log.f32 (+.f32 1 u1)))
(*.f32 (pow.f32 u2 2) u1)
(+.f32 (.f32 (pow.f32 u2 2) u1) (.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2)))))
(+.f32 (.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 -1/4 (.f32 (pow.f32 u2 2) (pow.f32 u1 4))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 u1 2))))))
(.f32 -1 (.f32 (pow.f32 u2 2) (log.f32 (/.f32 1 u1))))
(+.f32 (/.f32 (pow.f32 u2 2) u1) (.f32 -1 (.f32 (pow.f32 u2 2) (log.f32 (/.f32 1 u1)))))
(+.f32 (/.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (*.f32 (pow.f32 u2 2) (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 -1 (.f32 (pow.f32 u2 2) (log.f32 (/.f32 1 u1)))))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u2 2))
(+.f32 (/.f32 (pow.f32 u2 2) u1) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u2 2)))
(+.f32 (/.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u2 2))))
(+.f32 (.f32 1/3 (/.f32 (pow.f32 u2 2) (pow.f32 u1 3))) (+.f32 (/.f32 (pow.f32 u2 2) u1) (+.f32 (.f32 -1/2 (/.f32 (pow.f32 u2 2) (pow.f32 u1 2))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u2 2)))))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 (log.f32 (+.f32 1 u1)))
(*.f32 u2 u1)
(+.f32 (.f32 -1/2 (.f32 u2 (pow.f32 u1 2))) (*.f32 u2 u1))
(+.f32 (.f32 -1/2 (.f32 u2 (pow.f32 u1 2))) (+.f32 (.f32 u2 u1) (.f32 1/3 (*.f32 u2 (pow.f32 u1 3)))))
(+.f32 (.f32 -1/2 (.f32 u2 (pow.f32 u1 2))) (+.f32 (.f32 u2 u1) (+.f32 (.f32 1/3 (.f32 u2 (pow.f32 u1 3))) (.f32 -1/4 (*.f32 u2 (pow.f32 u1 4))))))
(.f32 -1 (.f32 u2 (log.f32 (/.f32 1 u1))))
(+.f32 (/.f32 u2 u1) (.f32 -1 (.f32 u2 (log.f32 (/.f32 1 u1)))))
(+.f32 (/.f32 u2 u1) (+.f32 (.f32 -1/2 (/.f32 u2 (pow.f32 u1 2))) (.f32 -1 (*.f32 u2 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 1/3 (/.f32 u2 (pow.f32 u1 3))) (+.f32 (/.f32 u2 u1) (+.f32 (.f32 -1/2 (/.f32 u2 (pow.f32 u1 2))) (.f32 -1 (.f32 u2 (log.f32 (/.f32 1 u1)))))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u2)
(+.f32 (/.f32 u2 u1) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u2))
(+.f32 (/.f32 u2 u1) (+.f32 (.f32 -1/2 (/.f32 u2 (pow.f32 u1 2))) (.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u2)))
(+.f32 (.f32 1/3 (/.f32 u2 (pow.f32 u1 3))) (+.f32 (/.f32 u2 u1) (+.f32 (.f32 -1/2 (/.f32 u2 (pow.f32 u1 2))) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u2))))
(-.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) 1)
(*.f32 (PI.f32) (PI.f32))
(*.f32 (pow.f32 (PI.f32) 2) 1)
(*.f32 1 (pow.f32 (PI.f32) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (pow.f32 (PI.f32) 4)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) 4)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(sqrt.f32 (pow.f32 (PI.f32) 4))
(log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))
(exp.f32 (*.f32 2 (log.f32 (PI.f32))))
(-.f32 (+.f32 1 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 1)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 1)
(pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3) 1/3)
(pow.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 3)
(pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 2))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2) (pow.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3) (pow.f32 (.f32 u2 (*.f32 u2 (log1p.f32 u1))) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 (*.f32 u2 (log1p.f32 u1))) 3) (pow.f32 (pow.f32 (PI.f32) 2) 3)))
(expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(exp.f32 (log.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(-.f32 (+.f32 1 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 1)
(pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 1)
(pow.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 3)
(pow.f32 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))) 2)
(sqrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 2))
(log.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 u2 (log1p.f32 u1)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(-.f32 (+.f32 1 (*.f32 u2 (log1p.f32 u1))) 1)
(pow.f32 (*.f32 u2 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 u2 (log1p.f32 u1))) 3)
(pow.f32 (sqrt.f32 (*.f32 u2 (log1p.f32 u1))) 2)
(sqrt.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 2))
(log.f32 (pow.f32 (+.f32 u1 1) u2))
(cbrt.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (log1p.f32 u1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 u2 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 u2 (log1p.f32 u1))))

Outputs
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2)))
(.f32 (.f32 u2 u2) (*.f32 u1 (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (*.f32 u2 u1)))
(.f32 u1 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2)))))
(fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 u1)))))
(fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 u2) (.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 u1)) -1/2)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (+.f32 u1 (.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2))))))
(fma.f32 1/3 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3))) (fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (.f32 u1 u1))))))
(fma.f32 1/3 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 u2) (.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 u1 u1)) -1/2))))
(fma.f32 u2 (.f32 u2 (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (+.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 -1/2 (.f32 u1 u1))))))
(+.f32 (.f32 -1/4 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 4)))) (+.f32 (.f32 1/3 (.f32 (pow.f32 u2 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (+.f32 (.f32 (pow.f32 u2 2) (.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 -1/2 (.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 2)))))))
(fma.f32 -1/4 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 4))) (fma.f32 1/3 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3))) (fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 -1/2 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 u1)))))))
(fma.f32 -1/4 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 4)))) (fma.f32 1/3 (.f32 u2 (.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 u1 3)))) (fma.f32 (.f32 u2 u2) (.f32 u1 (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 u2) (.f32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u1 u1)) -1/2)))))
(+.f32 (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))))) (.f32 (pow.f32 (PI.f32) 2) (.f32 (.f32 u2 u2) (+.f32 (.f32 1/3 (pow.f32 u1 3)) (.f32 -1/4 (pow.f32 u1 4))))))
(.f32 -1 (.f32 (pow.f32 u2 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2))))
(neg.f32 (.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (neg.f32 (log.f32 u1)))))
(.f32 (.f32 u2 u2) (neg.f32 (neg.f32 (*.f32 (pow.f32 (PI.f32) 2) (log.f32 u1)))))
(.f32 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (log.f32 u1))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1))
(fma.f32 -1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (neg.f32 (log.f32 u1)))) (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2))))
(-.f32 (.f32 (/.f32 u2 (/.f32 u1 u2)) (pow.f32 (PI.f32) 2)) (.f32 u2 (.f32 u2 (neg.f32 (.f32 (pow.f32 (PI.f32) 2) (log.f32 u1))))))
(.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 u2 u2) (log.f32 u1) (*.f32 (/.f32 u2 u1) u2)))
(+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2)))))
(+.f32 (fma.f32 -1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (neg.f32 (log.f32 u1)))) (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2)))) (.f32 -1/2 (/.f32 (.f32 u2 u2) (/.f32 (*.f32 u1 u1) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1/2 (.f32 (/.f32 u2 (/.f32 u1 u2)) (/.f32 (pow.f32 (PI.f32) 2) u1)) (.f32 (/.f32 u2 (/.f32 u1 u2)) (pow.f32 (PI.f32) 2))) (.f32 u2 (.f32 u2 (neg.f32 (*.f32 (pow.f32 (PI.f32) 2) (log.f32 u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (log.f32 u1)) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (.f32 (*.f32 (/.f32 u2 u1) u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (+.f32 (/.f32 -1/2 u1) 1) (.f32 (.f32 (/.f32 u2 u1) u2) (pow.f32 (PI.f32) 2)) (.f32 (.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (log.f32 u1)))
(+.f32 (.f32 1/3 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (pow.f32 u2 2) (.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2))))))
(fma.f32 1/3 (/.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3)) (+.f32 (fma.f32 -1 (.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) (neg.f32 (log.f32 u1)))) (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2)))) (.f32 -1/2 (/.f32 (.f32 u2 u2) (/.f32 (*.f32 u1 u1) (pow.f32 (PI.f32) 2))))))
(fma.f32 1/3 (.f32 (/.f32 (.f32 u2 u2) (pow.f32 u1 3)) (pow.f32 (PI.f32) 2)) (-.f32 (fma.f32 -1/2 (.f32 (/.f32 u2 (/.f32 u1 u2)) (/.f32 (pow.f32 (PI.f32) 2) u1)) (.f32 (/.f32 u2 (/.f32 u1 u2)) (pow.f32 (PI.f32) 2))) (.f32 u2 (.f32 u2 (neg.f32 (*.f32 (pow.f32 (PI.f32) 2) (log.f32 u1)))))))
(+.f32 (.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 u2 u2) (log.f32 u1) (.f32 (/.f32 u2 u1) u2))) (.f32 (/.f32 (.f32 u2 (pow.f32 (PI.f32) 2)) (/.f32 (.f32 u1 u1) u2)) (+.f32 -1/2 (/.f32 1/3 u1))))
(.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(.f32 (.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(.f32 (.f32 u2 u2) (*.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (pow.f32 (PI.f32) 2)))
(+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2))) (.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (*.f32 (/.f32 u2 (/.f32 u1 u2)) (pow.f32 (PI.f32) 2)))
(.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 u2 u2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (*.f32 (/.f32 u2 u1) u2)))
(+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2)))))
(+.f32 (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2))) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -1/2 (/.f32 (.f32 u2 u2) (/.f32 (.f32 u1 u1) (pow.f32 (PI.f32) 2))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 u2 (/.f32 u1 u2)) (/.f32 (pow.f32 (PI.f32) 2) u1))) (fma.f32 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (*.f32 (/.f32 u2 (/.f32 u1 u2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (.f32 u2 u2) (.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))) (pow.f32 (PI.f32) 2)) (.f32 (+.f32 (/.f32 -1/2 u1) 1) (.f32 (*.f32 (/.f32 u2 u1) u2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/3 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3))) (+.f32 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) u1) (+.f32 (.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -1/2 (/.f32 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 2))))))
(fma.f32 1/3 (/.f32 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (pow.f32 u1 3)) (+.f32 (/.f32 (.f32 u2 u2) (/.f32 u1 (pow.f32 (PI.f32) 2))) (fma.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (.f32 -1/2 (/.f32 (.f32 u2 u2) (/.f32 (.f32 u1 u1) (pow.f32 (PI.f32) 2)))))))
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(pow.f32 (PI.f32) 2)
(.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(sqrt.f32 (pow.f32 (PI.f32) 4))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(exp.f32 (*.f32 2 (log.f32 (PI.f32))))
(+.f32 (+.f32 1 (pow.f32 (PI.f32) 2)) -1)
(+.f32 (pow.f32 (PI.f32) 2) 0)
(pow.f32 (PI.f32) 2)
(-.f32 (+.f32 1 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 1)
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 1)
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(pow.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3) 1/3)
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)) 3)
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(sqrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 2))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(log.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2) (pow.f32 (PI.f32) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2) 3))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3) (pow.f32 (.f32 u2 (*.f32 u2 (log1p.f32 u1))) 3)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 (*.f32 u2 (log1p.f32 u1))) 3) (pow.f32 (pow.f32 (PI.f32) 2) 3)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(exp.f32 (log.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 2)))
(.f32 (.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) (log1p.f32 u1)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 u2 (PI.f32))) 2)
(-.f32 (+.f32 1 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 1)
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 1)
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(pow.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3) 1/3)
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))) 3)
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(pow.f32 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))) 2)
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(sqrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 2))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(log.f32 (pow.f32 (pow.f32 (+.f32 u1 1) u2) u2))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1))) 3))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 u2 (log1p.f32 u1)) 3)))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (.f32 u2 (log1p.f32 u1)) 3) (pow.f32 u2 3)))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 u2 (.f32 u2 (log1p.f32 u1)))))
(.f32 (.f32 u2 u2) (log1p.f32 u1))
(.f32 u2 (.f32 u2 (log1p.f32 u1)))
(-.f32 (+.f32 1 (*.f32 u2 (log1p.f32 u1))) 1)
(*.f32 u2 (log1p.f32 u1))
(pow.f32 (*.f32 u2 (log1p.f32 u1)) 1)
(*.f32 u2 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 3) 1/3)
(*.f32 u2 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 u2 (log1p.f32 u1))) 3)
(*.f32 u2 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 u2 (log1p.f32 u1))) 2)
(*.f32 u2 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 2))
(*.f32 u2 (log1p.f32 u1))
(log.f32 (pow.f32 (+.f32 u1 1) u2))
(*.f32 u2 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 u2 (log1p.f32 u1)) 3))
(*.f32 u2 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (log1p.f32 u1) 3)))
(*.f32 u2 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 u2 3)))
(*.f32 u2 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (*.f32 u2 (log1p.f32 u1))))
(*.f32 u2 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 u2 (log1p.f32 u1))))
(*.f32 u2 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 u2 (log1p.f32 u1))))
(*.f32 u2 (log1p.f32 u1))

localize99.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.4b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
✓	0.7b	(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3)
✓	1.8b	(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)

Compiler

Compiled 99 to 65 computations (34.3% saved)

series14.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)
2.0ms	u2	@	-inf	(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)
2.0ms	u2	@	-inf	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
1.0ms	u2	@	inf	(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`log-prod_binary32`
519×	`fma-def_binary32`
327×	`expm1-udef_binary32`
327×	`log1p-udef_binary32`
287×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	429	51
2	5229	51

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3)
(pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3)
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
(.f32 (PI.f32) (.f32 u2 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (+.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u2 u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (+.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (+.f32 u2 u2)) 2) (.f32 (cbrt.f32 (+.f32 u2 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (+.f32 u2 u2)) (.f32 (sqrt.f32 (+.f32 u2 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1/3) (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/3) (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2) 1/3) (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) 2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (+.f32 u2 u2)) 2)) (cbrt.f32 (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 u2 u2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))) (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (.f32 (+.f32 u2 u2) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u2 u2) (.f32 (PI.f32) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (+.f32 u2 u2)) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 3) (pow.f32 (+.f32 u2 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 u2 u2) 3) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) u2) (.f32 2 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 3) (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (PI.f32) u2) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (PI.f32)) (+.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (+.f32 u2 u2)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1) (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)) (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1))))))

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

949×	`log-prod_binary32`
756×	`cube-prod_binary32`
694×	`exp-prod_binary32`
270×	`exp-sum_binary32`
270×	`log-pow_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2094
1	494	2031
2	2086	1948
3	5194	1948

Stop Event

1×	node limit

Counts

153 → 121

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (*.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 -1 (.f32 (.f32 (cbrt.f32 -8) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 -1 (.f32 (.f32 (cbrt.f32 -8) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 -1 (.f32 (.f32 (cbrt.f32 -8) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 -1 (.f32 (.f32 (cbrt.f32 -8) (.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (.f32 (+.f32 1/2 (.f32 1/3 u1)) (pow.f32 u1 2)) u1))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(+.f32 0 (*.f32 (PI.f32) (+.f32 u2 u2)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(*.f32 (+.f32 u2 u2) (PI.f32))
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 1)
(.f32 1 (.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (cbrt.f32 (+.f32 u2 u2)) 2) (.f32 (cbrt.f32 (+.f32 u2 u2)) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (+.f32 u2 u2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))
(.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) 1/3))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (sqrt.f32 (+.f32 u2 u2)) (.f32 (sqrt.f32 (+.f32 u2 u2)) (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 u2 u2)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (.f32 (PI.f32) u2) 2)
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1/3) (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (pow.f32 1 1/3) (.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2) 1/3) (pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3/2) 1/3))
(.f32 (.f32 (PI.f32) 2) u2)
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (+.f32 u2 u2)) 2)) (cbrt.f32 (+.f32 u2 u2)))
(.f32 (.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2)))
(.f32 (.f32 (+.f32 u2 u2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (+.f32 u2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1))
(+.f32 0 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))
(+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))) (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))))) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))) 1)
(.f32 (PI.f32) (.f32 (+.f32 u2 u2) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(.f32 (+.f32 u2 u2) (.f32 (PI.f32) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) 1)
(.f32 (.f32 (PI.f32) (+.f32 u2 u2)) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2))
(.f32 1 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3))
(.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) (.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (+.f32 u2 u2) 3))
(*.f32 (pow.f32 (+.f32 u2 u2) 3) (pow.f32 (PI.f32) 3))
(.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3/2) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3/2))
(.f32 (.f32 (PI.f32) u2) (.f32 2 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 3) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 8)
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) (PI.f32)) (+.f32 u2 u2))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) (+.f32 u2 u2)) (PI.f32))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1) (.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)) (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6))
(log.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(+.f32 0 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) 1)
(pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 1)
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 3)
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 2)
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) (pow.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 1))
(+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(+.f32 0 (*.f32 (PI.f32) (+.f32 u2 u2)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3) 1/3)
(pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 1)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6) 1/6)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 2 (.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(neg.f32 (.f32 (.f32 (cbrt.f32 -8) u2) (PI.f32)))
(.f32 (cbrt.f32 -8) (neg.f32 (.f32 u2 (PI.f32))))
(.f32 u2 (neg.f32 (.f32 (PI.f32) (cbrt.f32 -8))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(neg.f32 (.f32 (.f32 (cbrt.f32 -8) u2) (PI.f32)))
(.f32 (cbrt.f32 -8) (neg.f32 (.f32 u2 (PI.f32))))
(.f32 u2 (neg.f32 (.f32 (PI.f32) (cbrt.f32 -8))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(neg.f32 (.f32 (.f32 (cbrt.f32 -8) u2) (PI.f32)))
(.f32 (cbrt.f32 -8) (neg.f32 (.f32 u2 (PI.f32))))
(.f32 u2 (neg.f32 (.f32 (PI.f32) (cbrt.f32 -8))))
(.f32 -1 (.f32 (cbrt.f32 -8) (*.f32 u2 (PI.f32))))
(neg.f32 (.f32 (.f32 (cbrt.f32 -8) u2) (PI.f32)))
(.f32 (cbrt.f32 -8) (neg.f32 (.f32 u2 (PI.f32))))
(.f32 u2 (neg.f32 (.f32 (PI.f32) (cbrt.f32 -8))))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 8 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
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(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2) 3) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 8)
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) (PI.f32)) (+.f32 u2 u2))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2) (+.f32 u2 u2)) (PI.f32))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) 1) (.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 2)) (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (sqrt.f32 (.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (.f32 (PI.f32) u2)) 2)
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(log.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3) 3))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2)))))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3))
(+.f32 0 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))) (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))) (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (*.f32 u1 u1) u1))))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (*.f32 u1 u1) u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) (log.f32 (sqrt.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))) 1)
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 1)
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3) 1/3)
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 3)
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 2)
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 2) (fma.f32 (fma.f32 1/3 u1 1/2) (*.f32 u1 u1) u1)))
(sqrt.f32 (.f32 (pow.f32 (.f32 u2 (.f32 2 (PI.f32))) 2) (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(cbrt.f32 (pow.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1)))) 3))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) (pow.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) (pow.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (*.f32 u1 u1) u1) 3/2)))
(cbrt.f32 (.f32 (.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3)) (pow.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1) 3/2) (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (+.f32 u2 u2)) 3) (pow.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (*.f32 u1 u1) u1) 3/2)))
(cbrt.f32 (.f32 (.f32 8 (pow.f32 (.f32 u2 (PI.f32)) 3)) (pow.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(log1p.f32 (expm1.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(exp.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (.f32 (+.f32 u2 u2) (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 1/3 u1 1/2) u1))))) 1))
(.f32 2 (.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)) (*.f32 (PI.f32) (+.f32 u2 u2)))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(+.f32 (.f32 (PI.f32) u2) (.f32 (PI.f32) u2))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(+.f32 0 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))) (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (.f32 2 (PI.f32))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3) 1/3)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 1)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 6) 1/6)
(pow.f32 (pow.f32 (.f32 u2 (.f32 2 (PI.f32))) 6) 1/6)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 2))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 u2 u2)))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (+.f32 u2 u2)) 3))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (+.f32 u2 u2))) 1))
(*.f32 (PI.f32) (+.f32 u2 u2))
(.f32 u2 (.f32 2 (PI.f32)))

localize97.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(log.f32 (*.f32 (PI.f32) u2))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	1.4b	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series79.0ms (0.7%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	u2	@	-inf	(log.f32 (*.f32 (PI.f32) u2))
12.0ms	u2	@	0	(log.f32 (*.f32 (PI.f32) u2))
6.0ms	u2	@	-inf	(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
6.0ms	u2	@	inf	(log.f32 (*.f32 (PI.f32) u2))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`log-prod_binary32`
565×	`prod-diff_binary32`
301×	`pow2_binary32`
273×	`pow-unpow_binary32`
214×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	288	29
2	3392	29

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

Inputs
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(log.f32 (*.f32 (PI.f32) u2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (PI.f32) 2)) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2))) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 u2)) (pow.f32 (exp.f32 1) (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (PI.f32))) (pow.f32 (exp.f32 1) (log.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 2 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (exp.f32 1) (*.f32 (log.f32 (PI.f32)) 1)) (pow.f32 (exp.f32 1) (*.f32 (log.f32 u2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2))))) (pow.f32 (exp.f32 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) 1) (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) 1) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))) (sqrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2)))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) 1) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2)))) (cbrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

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simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

617×	`unswap-sqr_binary32`
363×	`associate-/l*_binary32`
323×	`times-frac_binary32`
283×	`sqr-pow_binary32`
263×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	3227
1	998	2993
2	3162	2893

Stop Event

1×	node limit

Counts

168 → 211

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 4/15 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 2 (.f32 (.f32 (sqrt.f32 -1) (.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (.f32 -8/315 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (.f32 -1 (PI.f32))) (.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(.f32 (.f32 (PI.f32) u2) 1)
(.f32 1 (.f32 (PI.f32) u2))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (cbrt.f32 (pow.f32 (PI.f32) 2)) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (exp.f32 1) (log.f32 u2)) (pow.f32 (exp.f32 1) (log.f32 (PI.f32))))
(*.f32 (pow.f32 (exp.f32 1) (log.f32 (PI.f32))) (pow.f32 (exp.f32 1) (log.f32 u2)))
(.f32 (pow.f32 (exp.f32 1) (.f32 2 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))))) (pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (.f32 (PI.f32) u2)))) (pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (pow.f32 (exp.f32 1) (.f32 (log.f32 (PI.f32)) 1)) (pow.f32 (exp.f32 1) (*.f32 (log.f32 u2) 1)))
(/.f32 (pow.f32 (exp.f32 1) (exp.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2))))) (pow.f32 (exp.f32 1) 1))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) u2)))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 1))
(pow.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/3)
(pow.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) 1/3)
(pow.f32 (pow.f32 (exp.f32 1) 1) (log.f32 (*.f32 (PI.f32) u2)))
(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2)))
(pow.f32 (pow.f32 (exp.f32 1) (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (pow.f32 (exp.f32 1) (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) 1) (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))))) (sqrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2)))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) 1) (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (log.f32 (.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2)))) (cbrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)) 1/2)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)) 1/3)
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)) 1/3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(+.f32 (log.f32 (*.f32 (PI.f32) u2)) 0)
(+.f32 (log.f32 u2) (log.f32 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
(+.f32 0 (log.f32 (*.f32 (PI.f32) u2)))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(+.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 2 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (PI.f32) 2))) (log.f32 (*.f32 (cbrt.f32 (PI.f32)) u2)))
(+.f32 (log.f32 (sqrt.f32 (PI.f32))) (log.f32 (*.f32 (sqrt.f32 (PI.f32)) u2)))
(+.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))))
(+.f32 (log.f32 (sqrt.f32 u2)) (log.f32 (*.f32 (sqrt.f32 u2) (PI.f32))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 u2))) (log.f32 (.f32 (cbrt.f32 u2) (PI.f32))))
(+.f32 (.f32 (log.f32 (PI.f32)) 1) (.f32 (log.f32 u2) 1))
(+.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))) (log.f32 (cbrt.f32 u2)))
(+.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) (log.f32 (sqrt.f32 u2)))
(+.f32 (log.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2)))) (log.f32 (cbrt.f32 (PI.f32))))
(+.f32 (log.f32 (*.f32 u2 (sqrt.f32 (PI.f32)))) (log.f32 (sqrt.f32 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2)))) 1)
(.f32 (log.f32 (.f32 (PI.f32) u2)) 1)
(.f32 2 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))))
(.f32 1 (log.f32 (.f32 (PI.f32) u2)))
(.f32 (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(.f32 3 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))))
(.f32 1/3 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 (pow.f32 (log.f32 (PI.f32)) 3) (pow.f32 (log.f32 u2) 3)) (+.f32 (pow.f32 (log.f32 (PI.f32)) 2) (-.f32 (pow.f32 (log.f32 u2) 2) (*.f32 (log.f32 (PI.f32)) (log.f32 u2)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (PI.f32)) 2) (pow.f32 (log.f32 u2) 2)) (log.f32 (/.f32 (PI.f32) u2)))
(pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 3))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (fma.f32 (PI.f32) u2 -1))
(exp.f32 (log.f32 (log.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 (PI.f32) u2))) 1))
(fma.f32 1 (log.f32 u2) (log.f32 (PI.f32)))
(fma.f32 1 (log.f32 (PI.f32)) (log.f32 u2))
(fma.f32 (log.f32 (PI.f32)) 1 (*.f32 (log.f32 u2) 1))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2) (cbrt.f32 (log.f32 (PI.f32))) (log.f32 u2))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 u2)) 2) (cbrt.f32 (log.f32 u2)) (log.f32 (PI.f32)))
(fma.f32 (sqrt.f32 (log.f32 (PI.f32))) (sqrt.f32 (log.f32 (PI.f32))) (log.f32 u2))
(fma.f32 (sqrt.f32 (log.f32 u2)) (sqrt.f32 (log.f32 u2)) (log.f32 (PI.f32)))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 (.f32 (PI.f32) 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
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(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 u2 (PI.f32))) 2))) (sqrt.f32 (cbrt.f32 (log.f32 (.f32 u2 (PI.f32)))))) (sqrt.f32 (cbrt.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
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(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
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(+.f32 0 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
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(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
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(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
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(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
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(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 2)))
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 1))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log.f32 (*.f32 (PI.f32) u2)) 0)
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 u2) (log.f32 (PI.f32)))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (log.f32 u2))
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(+.f32 0 (log.f32 (*.f32 (PI.f32) u2)))
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(+.f32 (.f32 2 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 2 (log.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (PI.f32) 2))) (log.f32 (*.f32 (cbrt.f32 (PI.f32)) u2)))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (PI.f32) 2))) (log.f32 (*.f32 u2 (cbrt.f32 (PI.f32)))))
(+.f32 (log.f32 (sqrt.f32 (PI.f32))) (log.f32 (*.f32 (sqrt.f32 (PI.f32)) u2)))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (sqrt.f32 u2)) (log.f32 (*.f32 (sqrt.f32 u2) (PI.f32))))
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(+.f32 (.f32 2 (log.f32 (cbrt.f32 u2))) (log.f32 (.f32 (cbrt.f32 u2) (PI.f32))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (.f32 (log.f32 (PI.f32)) 1) (.f32 (log.f32 u2) 1))
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(+.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))) (log.f32 (cbrt.f32 u2)))
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(+.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) (log.f32 (sqrt.f32 u2)))
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(+.f32 (log.f32 (*.f32 u2 (cbrt.f32 (pow.f32 (PI.f32) 2)))) (log.f32 (cbrt.f32 (PI.f32))))
(+.f32 (log.f32 (cbrt.f32 (pow.f32 (PI.f32) 2))) (log.f32 (*.f32 u2 (cbrt.f32 (PI.f32)))))
(+.f32 (log.f32 (*.f32 u2 (sqrt.f32 (PI.f32)))) (log.f32 (sqrt.f32 (PI.f32))))
(log.f32 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2)))) 1)
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 (log.f32 (.f32 (PI.f32) u2)) 1)
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 2 (log.f32 (sqrt.f32 (.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 1 (log.f32 (.f32 (PI.f32) u2)))
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 (cbrt.f32 (log.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (PI.f32)))))
(.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (pow.f32 (log.f32 (.f32 u2 (PI.f32))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (PI.f32)))))
(.f32 (sqrt.f32 (log.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 3 (log.f32 (cbrt.f32 (.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(.f32 1/3 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(/.f32 (+.f32 (pow.f32 (log.f32 (PI.f32)) 3) (pow.f32 (log.f32 u2) 3)) (+.f32 (pow.f32 (log.f32 (PI.f32)) 2) (-.f32 (pow.f32 (log.f32 u2) 2) (*.f32 (log.f32 (PI.f32)) (log.f32 u2)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (PI.f32)) 3) (pow.f32 (log.f32 u2) 3)) (-.f32 (+.f32 (pow.f32 (log.f32 (PI.f32)) 2) (pow.f32 (log.f32 u2) 2)) (*.f32 (log.f32 (PI.f32)) (log.f32 u2))))
(/.f32 (+.f32 (pow.f32 (log.f32 (PI.f32)) 3) (pow.f32 (log.f32 u2) 3)) (+.f32 (pow.f32 (log.f32 (PI.f32)) 2) (*.f32 (log.f32 u2) (-.f32 (log.f32 u2) (log.f32 (PI.f32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (PI.f32)) 2) (pow.f32 (log.f32 u2) 2)) (log.f32 (/.f32 (PI.f32) u2)))
(pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 1)
(log.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2) 1/2)
(log.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(log.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 3)
(log.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 2)
(log.f32 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 2))
(log.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (log.f32 (*.f32 (PI.f32) u2)) 3))
(log.f32 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (log.f32 (*.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(log1p.f32 (fma.f32 (PI.f32) u2 -1))
(log1p.f32 (fma.f32 u2 (PI.f32) -1))
(exp.f32 (log.f32 (log.f32 (*.f32 (PI.f32) u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (.f32 (log.f32 (log.f32 (.f32 (PI.f32) u2))) 1))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 1 (log.f32 u2) (log.f32 (PI.f32)))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 1 (log.f32 (PI.f32)) (log.f32 u2))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 (log.f32 (PI.f32)) 1 (*.f32 (log.f32 u2) 1))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 (PI.f32))) 2) (cbrt.f32 (log.f32 (PI.f32))) (log.f32 u2))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (log.f32 u2)) 2) (cbrt.f32 (log.f32 u2)) (log.f32 (PI.f32)))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (log.f32 (PI.f32))) (sqrt.f32 (log.f32 (PI.f32))) (log.f32 u2))
(log.f32 (*.f32 u2 (PI.f32)))
(fma.f32 (sqrt.f32 (log.f32 u2)) (sqrt.f32 (log.f32 u2)) (log.f32 (PI.f32)))
(log.f32 (*.f32 u2 (PI.f32)))

eval599.0ms (5%)

Compiler: Compiled 30990 to 20960 computations (32.4% saved)

prune286.0ms (2.4%)

Pruning

56 alts after pruning (46 fresh and 10 done)

	Pruned	Kept	Total
New	1016	16	1032
Fresh	5	30	35
Picked	0	1	1
Done	3	9	12
Total	1024	56	1080

Error

0.0b

Counts

1080 → 56

Alt Table

Click to see full alt table

Status	Error	Program
	2.8b	(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
	8.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))) 3)
	9.3b	(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/6) (.f32 u2 (.f32 2 (PI.f32))))
	8.4b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.8b	(.f32 (hypot.f32 (.f32 u1 (sqrt.f32 1/2)) (sqrt.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
	30.5b	(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
	25.9b	(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
	30.5b	(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
	8.8b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))))) (.f32 u2 (*.f32 2 (PI.f32))))
✓	8.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
	8.0b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 (.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2))))
✓	7.9b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
	2.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
✓	8.8b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
	11.2b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))
	8.8b	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
	1.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (.f32 -1/2 (pow.f32 u1 4)) (.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	4.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	3.0b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	4.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	14.6b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	7.7b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 3)) (+.f32 1 (.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
✓	10.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	12.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	6.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
✓	13.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	8.3b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))
	11.3b	(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
	9.2b	(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1/2)) (.f32 u2 (*.f32 2 (PI.f32))))
	8.7b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	6.3b	(.f32 (PI.f32) (.f32 (.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
	11.8b	(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
	7.9b	(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
	8.8b	(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)))))
	7.9b	(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
	9.0b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) 2)))
	21.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (-.f32 1/2 (/.f32 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32)))) 2))))
	11.3b	(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 u1)))))
	11.3b	(sqrt.f32 (.f32 4 (.f32 u1 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))))
	9.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))

Compiler

Compiled 1051 to 860 computations (18.2% saved)

regimes350.0ms (2.9%)

Counts

77 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 4 (.f32 u1 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 u1)))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 (log1p.f32 u1))))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (hypot.f32 (.f32 u1 (sqrt.f32 1/2)) (sqrt.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(sqrt.f32 (.f32 (log1p.f32 u1) (-.f32 1/2 (/.f32 (cos.f32 (.f32 4 (*.f32 u2 (PI.f32)))) 2))))
(.f32 (PI.f32) (.f32 (.f32 2 u2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1)))))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 (fma.f32 1/3 u1 1/2) (.f32 u1 u1) u1)))))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 u1 (fma.f32 u1 1/2 1))) 1/2)) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) 1))
(.f32 (sqrt.f32 (neg.f32 (.f32 1/3 (.f32 3 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (.f32 u1 -1/2) (neg.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (fma.f32 u1 1/2 1)) 3) 1/6) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 (log.f32 (/.f32 (+.f32 1 u1) (-.f32 1 (.f32 u1 u1))))))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (exp.f32 (log.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (cbrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 3))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (pow.f32 (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 3) 1/3))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 (.f32 (PI.f32) (sqrt.f32 (+.f32 u2 u2))) (sqrt.f32 (+.f32 u2 u2))))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 1/2 1))) (.f32 2 (.f32 (PI.f32) u2)))) 3)
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1) (pow.f32 (.f32 (PI.f32) (.f32 u2 2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (PI.f32) (+.f32 (.f32 2 u2) (.f32 (.f32 -2 (.f32 u2 u2)) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (-.f32 (.f32 -1/2 (pow.f32 u1 4)) (.f32 u1 u1)) (log1p.f32 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/2 (.f32 u1 u1) (.f32 -1/3 (pow.f32 u1 3))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))) 3)
(sqrt.f32 (.f32 (log1p.f32 u1) (exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 u2 (.f32 (PI.f32) 2))))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (*.f32 (PI.f32) u2) 2))) 2))
(.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 1/3 1/2) u1)) (.f32 (PI.f32) (.f32 u2 2)))) 3)
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (exp.f32 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 -1/2 (.f32 u1 u1))))) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) 3)) (+.f32 1 (.f32 (+.f32 1 (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))) (+.f32 2 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))))))
(fma.f32 4/15 (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (.f32 u1 (neg.f32 u1))))) (+.f32 (.f32 (PI.f32) (.f32 2 u2)) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))))) (.f32 (sqrt.f32 (-.f32 u1 (fma.f32 -1/3 (pow.f32 u1 3) (.f32 u1 (.f32 u1 -1/2))))) (+.f32 (.f32 (.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)) (.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Calls

10 calls:

50.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
49.0ms	u1
40.0ms	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
31.0ms	(.f32 (.f32 2 (PI.f32)) u2)
31.0ms	u2

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
0.5b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
0.5b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
0.5b	1	`(log.f32 (-.f32 1 u1))`
0.5b	1	`(-.f32 1 u1)`
0.5b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
0.5b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1311 to 818 computations (37.6% saved)

regimes135.0ms (1.1%)

Counts

24 → 2

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 4 (.f32 u1 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 u1)))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (+.f32 u1 (.f32 -1/2 (.f32 u1 u1))) (-.f32 (.f32 u1 u1) (.f32 1/4 (pow.f32 u1 4)))))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 u2 (*.f32 (PI.f32) 2))))
(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) 2) u1))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (.f32 u2 (*.f32 (PI.f32) 2))))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) (*.f32 u2 2)))

(*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 (*.f32 u1 1/3) 1/2)))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))

Calls

5 calls:

45.0ms	u2
29.0ms	cosTheta_i
21.0ms	u1
20.0ms	(.f32 (.f32 2 (PI.f32)) u2)
12.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))

Results

Error	Segments	Branch
2.8b	1	`cosTheta_i`
1.4b	2	`u1`
1.3b	2	`u2`
2.8b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.3b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 333 to 218 computations (34.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.001205355511046946	0.0015177440363913774

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes96.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 4 (.f32 u1 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 u1)))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Calls

5 calls:

24.0ms	u2
22.0ms	(.f32 (.f32 2 (PI.f32)) u2)
21.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
16.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
4.0b	1	`cosTheta_i`
2.2b	2	`u1`
1.8b	2	`u2`
2.5b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
1.8b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 225 to 157 computations (30.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0015177440363913774	0.001623618765734136

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes115.0ms (1%)

Counts

15 → 2

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (.f32 4 (.f32 u1 (.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2))))))
(sqrt.f32 (.f32 4 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 u1)))))
(.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (fma.f32 1/2 (.f32 u1 u1) u1)))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/3 (pow.f32 u1 3)))) (.f32 u2 (.f32 2 (PI.f32))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Calls

5 calls:

38.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
15.0ms	u2
15.0ms	u1
14.0ms	(.f32 (.f32 2 (PI.f32)) u2)
8.0ms	cosTheta_i

Results

Error	Segments	Branch
6.3b	1	`cosTheta_i`
3.5b	2	`u1`
3.0b	2	`u2`
3.7b	2	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
3.0b	2	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 209 to 146 computations (30.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.004731784109026194	0.006585646420717239

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes37.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))

Calls

5 calls:

9.0ms	u2
7.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
6.0ms	cosTheta_i
6.0ms	(.f32 (.f32 2 (PI.f32)) u2)
6.0ms	u1

Results

Error	Segments	Branch
6.3b	1	`cosTheta_i`
6.3b	1	`u1`
6.3b	1	`u2`
6.3b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
6.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 147 to 106 computations (27.9% saved)

regimes33.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 u2 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sqrt.f32 (neg.f32 0)) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Outputs
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))

Calls

5 calls:

8.0ms	cosTheta_i
6.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
6.0ms	u2
5.0ms	(.f32 (.f32 2 (PI.f32)) u2)
5.0ms	u1

Results

Error	Segments	Branch
7.9b	1	`cosTheta_i`
7.9b	1	`u1`
7.9b	1	`u2`
7.9b	1	`(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))`
7.9b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 136 to 99 computations (27.2% saved)

regimes15.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))

Outputs
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
8.8b	1	`cosTheta_i`
8.8b	1	`u1`
8.8b	1	`u2`

Compiler

Compiled 82 to 59 computations (28% saved)

regimes16.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))

Outputs
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u2
4.0ms	u1

Results

Error	Segments	Branch
8.8b	1	`cosTheta_i`
8.8b	1	`u1`
8.8b	1	`u2`

Compiler

Compiled 68 to 50 computations (26.5% saved)

regimes230.0ms (1.9%)

Accuracy

Total -19.4b remaining (-172.3%)

Threshold costs -19.4b (-172.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 u1 (PI.f32))) (.f32 (sqrt.f32 1/2) -2))
(.f32 (.f32 (sqrt.f32 1/2) u1) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 1/2) (neg.f32 u1)) (.f32 u2 (.f32 2 (PI.f32))))

Outputs
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))

Calls

3 calls:

221.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
11.3b	1	`cosTheta_i`
11.3b	1	`u1`
11.3b	1	`u2`

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

56×	`distribute-rgt-neg-in_binary32`
46×	`cancel-sign-sub-inv_binary32`
41×	`*-commutative_binary32`
41×	`distribute-lft-neg-out_binary32`
37×	`neg-sub0_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	292
1	107	292
2	151	290
3	247	290
4	340	290
5	427	290
6	487	290
7	528	290
8	540	290

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 6442451/4294967296) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (sin.f32 (.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 13743895/8589934592) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 (.f32 u1 1/2)))) (sin.f32 (.f32 u2 (.f32 2 (PI.f32))))))
(if (<=.f32 (.f32 (.f32 2 (PI.f32)) u2) 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (.f32 (.f32 2 (PI.f32)) u2))))
(if (<=.f32 (.f32 u2 (.f32 2 (PI.f32))) 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 u2 2)))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) (*.f32 2 u2)))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 1/3) 1/2)))) (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sqrt.f32 (+.f32 u1 (.f32 1/2 (.f32 u1 u1)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 2 (PI.f32))) (sqrt.f32 (+.f32 u1 (.f32 (*.f32 u1 u1) 1/2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 1/2)))) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (.f32 2 (PI.f32))) (sqrt.f32 (.f32 u1 (+.f32 1 (*.f32 u1 1/2)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 2 (PI.f32))))
(.f32 (.f32 u2 (*.f32 2 (PI.f32))) (sqrt.f32 u1))

Compiler

Compiled 204 to 160 computations (21.6% saved)

soundness36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Stop Event

1×

saturated

Compiler

Compiled 64 to 56 computations (12.5% saved)

end150.0ms (1.2%)

Compiler: Compiled 180 to 109 computations (39.4% saved)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	63	292
1	107	292
2	151	290
3	247	290
4	340	290
5	427	290
6	487	290
7	528	290
8	540	290

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	63	292
1	107	292
2	151	290
3	247	290
4	340	290
5	427	290
6	487	290
7	528	290
8	540	290

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	491	84
9	532	84
10	586	84
11	636	84
12	727	84
13	774	84
14	792	84
15	795	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21

Iter	Nodes	Cost
0	63	292
1	107	292
2	151	290
3	247	290
4	340	290
5	427	290
6	487	290
7	528	290
8	540	290

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	165	21
10	187	21
11	209	21
12	248	21
13	265	21
14	271	21
15	272	21