Details

analyze179.0ms (1.5%)

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)

sample2.9s (24.3%)

Results

2.9s	8256×	body	256	valid
1.0ms	5×	body	256	precondition

Bogosity

preprocess54.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

304×	`fma-def`
202×	`+-commutative`
180×	`associate-+l-`
168×	`associate-+l+`
114×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	172
1	62	164
2	98	164
3	123	164
4	151	164
5	187	164
6	242	164
7	324	164
8	603	164
9	687	164
10	739	164
11	1019	164
12	1083	164
13	1118	164
14	1130	164
15	1133	164
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 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 (PI.f32) (*.f32 2 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 (sin.f32 (.f32 (PI.f32) (*.f32 2 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 2 (*.f32 (PI.f32) u1))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (.f32 2 (*.f32 u1 (PI.f32)))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 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 u1 2))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def`
62×	`associate-+l-`
60×	`+-commutative`
52×	`associate-+l+`
40×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

4 → 1

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))))

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
✓	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 47 to 19 computations (59.6% saved)

series80.0ms (0.7%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
70.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`unswap-sqr`
888×	`swap-sqr`
514×	`sqr-pow`
340×	`distribute-rgt-in`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	322	70
2	3915	70

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-/r*`
1022×	`associate-*r/`
932×	`associate-*l/`
892×	`associate-l`
842×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	7061
1	1040	6297
2	4711	6285

Stop Event

1×	node limit

Counts

161 → 220

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)))))
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(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(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))))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))

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

eval179.0ms (1.5%)

Compiler: Compiled 6768 to 4519 computations (33.2% saved)

prune66.0ms (0.5%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	195	25	220
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	26	221

Error

0.1b

Counts

221 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	7.9b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sin.f32 (.f32 (PI.f32) 0)))))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	8.0b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32))))) 2))))
▶	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
▶	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
	0.8b	(.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))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	1.6b	(.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)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	7.9b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.4b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	7.9b	(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 977 to 837 computations (14.3% saved)

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`unswap-sqr`
908×	`swap-sqr`
372×	`distribute-rgt-in`
344×	`add-sqr-sqrt`
334×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	357	55
2	4107	55

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1170×	`distribute-lft-in`
1160×	`distribute-rgt-in`
614×	`associate-/l*`
600×	`associate-r`
570×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	5249
1	910	4853
2	3401	4685

Stop Event

1×	node limit

Counts

131 → 173

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 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 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (*.f32 u2 (PI.f32))) 1)
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 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))))))
(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))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(-.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 (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 (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 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) (.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(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)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(+.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 0)
(+.f32 1 (+.f32 (expm1.f32 (*.f32 (PI.f32) u2)) -1))
(+.f32 1 (-.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 1))
(+.f32 (pow.f32 (exp.f32 u2) (PI.f32)) -1)
(+.f32 -1 (pow.f32 (exp.f32 u2) (PI.f32)))
(-.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 1)
(-.f32 (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))) 2)
(.f32 (expm1.f32 (.f32 (PI.f32) u2)) 1)
(.f32 1 (expm1.f32 (.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2))
(.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2) (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2))))
(.f32 (.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))))) (.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) u2))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
(/.f32 1 (/.f32 (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))) (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(/.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))) (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))))
(/.f32 (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))) (/.f32 (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))) (sqrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(/.f32 (.f32 (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2)))) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (.f32 u2 2))))) (/.f32 (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))) (cbrt.f32 (expm1.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 3) 1) (+.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 2) (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32)))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 3) 1)) (+.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 2) (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32)))))
(/.f32 (.f32 (expm1.f32 (.f32 (PI.f32) (*.f32 u2 2))) 1) (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 3) 1) 1) (+.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 2) (+.f32 1 (pow.f32 (exp.f32 u2) (PI.f32)))))
(pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 2))
(log.f32 (exp.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) u2)) 3))
(exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (.f32 (log.f32 (expm1.f32 (.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) u2))))

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u1))
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

Compiler

Compiled 40 to 15 computations (62.5% saved)

series22.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`unswap-sqr`
838×	`swap-sqr`
474×	`sqr-pow`
460×	`pow-sqr`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	301	43
2	3664	43

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Outputs

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

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

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1606×	`associate-*r/`
1326×	`associate-*l/`
1024×	`associate-/r/`
576×	`associate-r`
456×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	322	4294971888
1	866	3982
2	3726	3982

Stop Event

1×	node limit

Counts

132 → 206

Calls

Call 1

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

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

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.7b	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

Compiler

Compiled 50 to 23 computations (54% saved)

series26.0ms (0.2%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	inf	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
4.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u1	@	0	(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
1.0ms	u2	@	0	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`unswap-sqr`
956×	`swap-sqr`
572×	`sqr-pow`
540×	`pow-sqr`
332×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	42
1	344	42
2	3780	42

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-/l*`
1188×	`associate-*r/`
1150×	`+-commutative`
944×	`associate-*l/`
698×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	8683
1	1368	7725
2	5082	7697

Stop Event

1×	node limit

Counts

83 → 155

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
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(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))))
(+.f32 (.f32 -8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 -4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (.f32 4/15 (.f32 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (.f32 2 (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (sqrt.f32 (log1p.f32 u1)))
(.f32 (.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (pow.f32 (log1p.f32 u1) 1/6)) (.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)))
(.f32 (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6))) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(sqrt.f32 (log1p.f32 u1))
(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))))
(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))
(log1p.f32 (expm1.f32 (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 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3) 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 (sin.f32 (.f32 2 (.f32 (PI.f32) 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)))))))
(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))))))
(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))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (*.f32 -1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) -1/4)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1))))
(+.f32 (sqrt.f32 u1) (fma.f32 (+.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (.f32 -1/4 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (sqrt.f32 u1)) (.f32 -1/6 (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (.f32 -1/12 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3))))) (+.f32 (.f32 -247/10368 (sqrt.f32 u1)) (+.f32 (.f32 -11/1728 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 -11/1728 (pow.f32 (.f32 1 u1) 1/3)) (.f32 -247/5184 (pow.f32 (.f32 1 u1) 1/3))))))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 1/72 (sqrt.f32 u1)) (+.f32 (.f32 11/288 (sqrt.f32 u1)) (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 1/144 (pow.f32 (.f32 1 u1) 1/3)) (.f32 11/144 (pow.f32 (.f32 1 u1) 1/3)))))) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) -1/4) u1 (fma.f32 (fma.f32 -1/12 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (fma.f32 -247/10368 (sqrt.f32 u1) (fma.f32 -11/1728 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) -35/648))))) (pow.f32 u1 3) (.f32 (fma.f32 1/72 (sqrt.f32 u1) (fma.f32 11/288 (sqrt.f32 u1) (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)))) (*.f32 u1 u1)))))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) -1/4) (sqrt.f32 u1)) (fma.f32 (+.f32 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (.f32 (sqrt.f32 u1) 5/96)) (.f32 u1 u1) (.f32 (fma.f32 -1/12 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 1/12)) (+.f32 (.f32 (cbrt.f32 u1) (.f32 -35/648 (pow.f32 u1 1/6))) (*.f32 (sqrt.f32 u1) -313/10368))) (pow.f32 u1 3))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/6 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) -1/2))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (.f32 (/.f32 (sqrt.f32 -1) u1) (.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) -1/2)))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (.f32 1/18 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/6) (/.f32 (+.f32 (.f32 2 (.f32 (pow.f32 (.f32 -1 (log.f32 (/.f32 1 u1))) 1/3) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))))) (.f32 1/36 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 -1/6 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/3 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/72 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/12 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))))
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(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (cbrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)))
(*.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 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (log1p.f32 u1))))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 4))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(.f32 (cbrt.f32 (log1p.f32 u1)) (.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6)))
(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 4))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(.f32 (.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (pow.f32 (log1p.f32 u1) 1/6)) (.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (pow.f32 (log1p.f32 u1) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (log1p.f32 u1) 1/6)))))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2))
(.f32 (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2))
(.f32 (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)) (*.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4)))
(.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)))
(.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2)))
(.f32 (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/4) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3/2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 3/2) (pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 3))
(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6))) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6))))
(.f32 (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6)) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/6) (pow.f32 (log1p.f32 u1) 1/6)))))
(.f32 (pow.f32 (log1p.f32 u1) 1/6) (.f32 (pow.f32 (log1p.f32 u1) 1/6) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/4))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (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))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(expm1.f32 (log1p.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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(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 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sin.f32 (.f32 (PI.f32) 0)))))
(.f32 (/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) 2) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sin.f32 0)))
(.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (+.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sin.f32 0)))
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 1)
(.f32 (sin.f32 (.f32 (*.f32 2 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 (*.f32 2 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 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.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 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(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 (*.f32 2 u2) (PI.f32))) 2)))
(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(.f32 (sin.f32 (.f32 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 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 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f32 (*.f32 (PI.f32) u2))
✓	0.2b	(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`unswap-sqr`
906×	`swap-sqr`
396×	`distribute-rgt-in`
350×	`distribute-lft-in`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	358	55
2	4116	55

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-/r*`
644×	`associate-r`
642×	`+-commutative`
628×	`associate-/l*`
584×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	5449
1	995	4955
2	3967	4787

Stop Event

1×	node limit

Counts

129 → 197

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

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
✓	0.7b	(pow.f32 (*.f32 (PI.f32) u2) 3)
✓	1.9b	(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)

Compiler

Compiled 73 to 39 computations (46.6% saved)

series8.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
2.0ms	u2	@	-inf	(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
1.0ms	u2	@	inf	(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`unswap-sqr`
996×	`swap-sqr`
392×	`add-sqr-sqrt`
380×	`distribute-rgt-in`
370×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	423	57
2	4727	57

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

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

((#(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 /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(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 (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 (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 (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 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 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 log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))

simplify179.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-r`
1404×	`associate-l`
1346×	`distribute-lft-in`
1332×	`distribute-rgt-in`
774×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	6089
1	1308	5373
2	4913	5367

Stop Event

1×	node limit

Counts

169 → 210

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 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(.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 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 -2 (.f32 (pow.f32 -1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 -2 (.f32 (pow.f32 -1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 -2 (.f32 (pow.f32 -1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 -2 (.f32 (pow.f32 -1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.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 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32)))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/3))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2))
(.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 1 1/3) (.f32 (PI.f32) u2))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (pow.f32 (.f32 (PI.f32) u2) 1/6)) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/6) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/6) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 2) 1/6)) (.f32 (pow.f32 (.f32 (PI.f32) u2) 1/6) (pow.f32 (*.f32 (PI.f32) u2) 1/6)))
(.f32 (.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (*.f32 (PI.f32) u2))
(.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 3) 1/6) (pow.f32 (pow.f32 (PI.f32) 3) 1/6)) (*.f32 (pow.f32 (pow.f32 u2 3) 1/6) (pow.f32 (pow.f32 u2 3) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12) (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2)))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12) (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6) (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2)))) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6) (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12)) (.f32 (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/12)))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12)) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/12)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6)) (.f32 (sqrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/6)))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/6)) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1/12) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/6)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (.f32 (PI.f32) u2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(.f32 (.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (.f32 (PI.f32) u2)))) (.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.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))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 1)
(.f32 (PI.f32) (.f32 u2 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 u2 (.f32 (PI.f32) (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 3) 1)
(.f32 (.f32 (PI.f32) u2) (pow.f32 (*.f32 (PI.f32) u2) 2))
(.f32 1 (pow.f32 (.f32 (PI.f32) u2) 3))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) (pow.f32 (*.f32 (PI.f32) u2) 3/2))
(.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (.f32 (sqrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) (.f32 (cbrt.f32 (.f32 (PI.f32) u2)) (pow.f32 (*.f32 (PI.f32) u2) 2)))
(.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (PI.f32)) u2)
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) u2) (PI.f32))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (sqrt.f32 (.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 2) (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3))
(.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) 3) (*.f32 (PI.f32) u2))
(.f32 (.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (*.f32 (PI.f32) u2) 3))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 2) 3/2)) (.f32 (pow.f32 (cbrt.f32 (.f32 (PI.f32) u2)) 3/2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3/2)))
(.f32 (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3) (.f32 (PI.f32) u2)) (.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3) (*.f32 (PI.f32) u2)))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2))) (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2))))
(.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2) (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2))) (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2) (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2)) (pow.f32 (.f32 (PI.f32) u2) 3/4)) (.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2)) (pow.f32 (*.f32 (PI.f32) u2) 3/4)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2) (pow.f32 (.f32 (PI.f32) u2) 3/4)) (.f32 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2) (pow.f32 (*.f32 (PI.f32) u2) 3/4)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2)) (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2)) (.f32 (sqrt.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2)) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3/2)))
(.f32 (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 3/2)) (.f32 (pow.f32 (.f32 (PI.f32) u2) 3/4) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3/2)))
(.f32 (.f32 (.f32 (PI.f32) u2) (pow.f32 (pow.f32 (.f32 (PI.f32) u2) 3/2) 1/3)) (.f32 (.f32 (PI.f32) u2) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3)))
(.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))) (.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))))
(.f32 (.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))))
(.f32 (.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (.f32 u2 (sqrt.f32 u2))) (.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (*.f32 u2 (sqrt.f32 u2))))
(.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (.f32 u2 (sqrt.f32 u2))) (.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 u2))))
(.f32 (.f32 (pow.f32 (PI.f32) 3/2) (.f32 u2 (sqrt.f32 u2))) (.f32 (pow.f32 (PI.f32) 3/2) (*.f32 u2 (sqrt.f32 u2))))
(.f32 (.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (.f32 u2 (sqrt.f32 u2))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (*.f32 u2 (sqrt.f32 u2))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)))
(.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 u2 3/2)) (.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 u2 3/2)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 u2 3/2)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 u2 3/2)))
(.f32 (.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 (sqrt.f32 u2) 3)))
(.f32 (.f32 (.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (sqrt.f32 u2) 3)) (.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (sqrt.f32 u2) 3)))
(.f32 (.f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (sqrt.f32 u2) 3)))
(.f32 (.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 u2) 3)))
(.f32 (.f32 (sqrt.f32 (pow.f32 u2 3)) (sqrt.f32 (pow.f32 (PI.f32) 3))) (*.f32 (sqrt.f32 (pow.f32 u2 3)) (sqrt.f32 (pow.f32 (PI.f32) 3))))
(.f32 (.f32 (.f32 u2 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 (PI.f32) 3))) (.f32 (*.f32 u2 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 (PI.f32) 3))))
(.f32 (.f32 (pow.f32 u2 3/2) (sqrt.f32 (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 3/2) (sqrt.f32 (pow.f32 (PI.f32) 3))))
(.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (sqrt.f32 (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 (sqrt.f32 u2) 3) (sqrt.f32 (pow.f32 (PI.f32) 3))))
(.f32 (.f32 (sqrt.f32 (pow.f32 u2 3)) (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (.f32 (sqrt.f32 (pow.f32 u2 3)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (.f32 u2 (sqrt.f32 u2)) (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (.f32 (.f32 u2 (sqrt.f32 u2)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (pow.f32 u2 3/2) (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (.f32 (pow.f32 u2 3/2) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (.f32 (pow.f32 (sqrt.f32 u2) 3) (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3/2)) (*.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3/2)))
(.f32 (.f32 (.f32 u2 (sqrt.f32 u2)) (pow.f32 (PI.f32) 3/2)) (.f32 (*.f32 u2 (sqrt.f32 u2)) (pow.f32 (PI.f32) 3/2)))
(.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (PI.f32) 3/2)) (*.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (PI.f32) 3/2)))
(.f32 (.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(.f32 (.f32 (.f32 u2 (sqrt.f32 u2)) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (.f32 (*.f32 u2 (sqrt.f32 u2)) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(.f32 (.f32 (pow.f32 u2 3/2) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (pow.f32 u2 3/2) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 6))
(log.f32 (exp.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 3))
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))
(exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2))))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 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))))))
(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))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))

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 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(neg.f32 (.f32 (.f32 u2 (cbrt.f32 -1)) (PI.f32)))
(.f32 (.f32 u2 (cbrt.f32 -1)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(neg.f32 (.f32 (.f32 u2 (cbrt.f32 -1)) (PI.f32)))
(.f32 (.f32 u2 (cbrt.f32 -1)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(neg.f32 (.f32 (.f32 u2 (cbrt.f32 -1)) (PI.f32)))
(.f32 (.f32 u2 (cbrt.f32 -1)) (neg.f32 (PI.f32)))
(.f32 -1 (.f32 u2 (*.f32 (cbrt.f32 -1) (PI.f32))))
(neg.f32 (.f32 (.f32 u2 (cbrt.f32 -1)) (PI.f32)))
(.f32 (.f32 u2 (cbrt.f32 -1)) (neg.f32 (PI.f32)))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
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(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 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 (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 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 u2 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 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 u2 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 u2 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 u2 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 u2 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 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval773.0ms (6.4%)

Compiler: Compiled 37124 to 23884 computations (35.7% saved)

prune508.0ms (4.2%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	1119	29	1148
Fresh	11	9	20
Picked	0	1	1
Done	0	5	5
Total	1130	44	1174

Error

0.1b

Counts

1174 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	10.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (.f32 (PI.f32) (*.f32 2 u2)))) 3)
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	7.9b	(/.f32 (.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (.f32 (.f32 2 u2) (PI.f32))) (sin.f32 (.f32 (PI.f32) 0)))))
	8.0b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.6b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))
✓	8.0b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	15.5b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
▶	7.2b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	7.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
▶	10.2b	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 3))
▶	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
✓	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
✓	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2)))) 1/3))))
	14.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32))))))
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) u2))) 3)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.3b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
	8.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	10.7b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	20.1b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
	10.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 2)))
	8.4b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)))
	10.7b	(cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))

Compiler

Compiled 1436 to 1238 computations (13.8% saved)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
✓	0.2b	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

Compiler

Compiled 64 to 30 computations (53.1% saved)

series56.0ms (0.5%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
14.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
1.0ms	u2	@	0	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`unswap-sqr`
936×	`swap-sqr`
394×	`distribute-rgt-in`
348×	`distribute-lft-in`
346×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	360	75
2	4145	75

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate-/r*`
816×	`associate-r`
792×	`associate-l`
764×	`associate-*r/`
742×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	7181
1	956	6595
2	4580	6407

Stop Event

1×	node limit

Counts

129 → 192

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

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

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 14 computations (58.8% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`sqrt-prod`
896×	`unswap-sqr`
792×	`swap-sqr`
438×	`sqr-pow`
424×	`pow-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	285	25
2	3186	25

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1866×	`associate-*l/`
1080×	`distribute-lft-in`
1052×	`associate-+r+`
1016×	`associate-/l*`
1014×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	916
1	165	888
2	625	882
3	2212	882

Stop Event

1×	node limit

Counts

30 → 31

Calls

Call 1

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

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

localize133.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1)))
✓	0.2b	(fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2)))
	0.3b	(*.f32 u2 (PI.f32))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))

Compiler

Compiled 98 to 65 computations (33.7% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (*.f32 u2 (PI.f32))))

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`associate-*r/`
694×	`associate-*l/`
456×	`add-sqr-sqrt`
432×	`*-un-lft-identity`
430×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	129
1	462	121
2	5567	121

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1) 1/4) (pow.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1))) (cbrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 u1 (*.f32 u1 -1/2))) u1)) (cbrt.f32 (sqrt.f32 (-.f32 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simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1486×	`unswap-sqr`
900×	`distribute-lft-in`
892×	`distribute-rgt-in`
664×	`associate-/l*`
408×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	7325
1	547	7113
2	2258	6737

Stop Event

1×	node limit

Counts

117 → 165

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

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 u1 (.f32 u1 -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 u1 (.f32 u1 -1/2) (.f32 -1/3 (pow.f32 u1 3))))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.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 u1 (.f32 u1 -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 u1 (.f32 u1 -1/2) (.f32 -1/3 (pow.f32 u1 3))))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.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 u1 (.f32 u1 -1/2) (*.f32 -1/3 (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 (-.f32 u1 (fma.f32 u1 (.f32 u1 -1/2) (.f32 -1/3 (pow.f32 u1 3))))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.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)))))))
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(sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 -1/3 u1))) u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))))
(sqrt.f32 (-.f32 (fma.f32 u1 (.f32 u1 -1/2) (.f32 -1/3 (pow.f32 u1 3))) u1))
(sqrt.f32 (-.f32 (.f32 (.f32 u1 u1) (+.f32 -1/2 (*.f32 -1/3 u1))) u1))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 22 computations (60.7% saved)

series5.0ms (0%)

Counts

2 → 20

Calls

9 calls:

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

rewrite110.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`unswap-sqr`
860×	`swap-sqr`
508×	`sqr-pow`
488×	`pow-sqr`
356×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	344	38
2	3866	38

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-/l*`
1016×	`distribute-lft-in`
1014×	`distribute-rgt-in`
888×	`associate-/r*`
510×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	232	3415
1	629	2967
2	2408	2879

Stop Event

1×	node limit

Counts

75 → 111

Calls

Call 1

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

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

localize61.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 69 to 21 computations (69.6% saved)

series4.0ms (0%)

Counts

4 → 44

Calls

15 calls:

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

rewrite154.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`unswap-sqr`
1040×	`swap-sqr`
400×	`distribute-rgt-in`
362×	`add-sqr-sqrt`
352×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	361	74
2	4401	74

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1574×	`distribute-lft-in`
910×	`associate-/r*`
758×	`associate-l`
752×	`associate-r`
750×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	5116
1	813	4672
2	3843	4660

Stop Event

1×	node limit

Counts

120 → 163

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

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 -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 (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 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
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(*.f32 u2 (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 2 (.f32 u2 (PI.f32))))
(.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 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (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 2 (.f32 u2 (PI.f32))))
(.f32 1 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (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 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2)))) 2))
(.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) 2)))
(/.f32 (.f32 2 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sin.f32 0))
(/.f32 (.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sin.f32 (.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(/.f32 (+.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sin.f32 0))
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(sin.f32 (.f32 (PI.f32) (.f32 2 u2)))
(sin.f32 (.f32 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 2 u2))) 2))
(fabs.f32 (sin.f32 (.f32 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (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 2 (.f32 u2 (PI.f32))))

eval1.0s (8.4%)

Compiler: Compiled 24175 to 15614 computations (35.4% saved)

prune369.0ms (3.1%)

Pruning

50 alts after pruning (42 fresh and 8 done)

	Pruned	Kept	Total
New	805	22	827
Fresh	13	20	33
Picked	0	1	1
Done	3	7	10
Total	821	50	871

Error

0.1b

Counts

871 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	10.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 2)
	8.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
▶	10.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
	8.6b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))) 3/2)))
✓	8.0b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	15.5b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	10.2b	(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
	7.2b	(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	7.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
▶	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	11.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
✓	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
▶	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2)))) 1/3))))
	14.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
	5.7b	(.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))))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	7.3b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
▶	8.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	10.7b	(.f32 (PI.f32) (.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
	10.3b	(.f32 (PI.f32) (.f32 (sqrt.f32 u1) (*.f32 2 u2)))
	20.1b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
▶	10.3b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	8.4b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (*.f32 2 u2) (PI.f32))) 2)))
	10.2b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 2 (PI.f32))) 2)))
	10.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))))
	10.2b	(cbrt.f32 (.f32 (pow.f32 (.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))

Compiler

Compiled 1578 to 1344 computations (14.8% saved)

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.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	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

Compiler

Compiled 66 to 28 computations (57.6% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

12 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`unswap-sqr`
914×	`swap-sqr`
374×	`distribute-rgt-in`
344×	`add-sqr-sqrt`
334×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	365	61
2	4122	61

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1458×	`distribute-lft-in`
1438×	`distribute-rgt-in`
974×	`associate-/r*`
806×	`associate-l`
772×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	5401
1	903	4937
2	3784	4925

Stop Event

1×	node limit

Counts

115 → 168

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

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

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 u2 (.f32 (PI.f32) (sqrt.f32 u1)))
✓	0.4b	(*.f32 (PI.f32) (sqrt.f32 u1))

Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(*.f32 (PI.f32) (sqrt.f32 u1))
0.0ms	u1	@	-inf	(.f32 u2 (.f32 (PI.f32) (sqrt.f32 u1)))
0.0ms	u1	@	inf	(.f32 u2 (.f32 (PI.f32) (sqrt.f32 u1)))
0.0ms	u1	@	0	(*.f32 (PI.f32) (sqrt.f32 u1))
0.0ms	u1	@	inf	(*.f32 (PI.f32) (sqrt.f32 u1))

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1688×	`add-cube-cbrt`
1660×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	195	32
2	2331	32

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f32 (PI.f32) (sqrt.f32 u1))
(.f32 u2 (.f32 (PI.f32) (sqrt.f32 u1)))

Outputs

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

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-+l+`
938×	`associate-+r+`
906×	`fma-def`
642×	`associate-+r-`
634×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	644
1	152	644
2	577	644
3	2539	644
4	7917	644

Stop Event

1×	node limit

Counts

38 → 29

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32)))))
✓	0.3b	(.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))
	0.3b	(*.f32 u2 (PI.f32))
✓	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)

Compiler

Compiled 46 to 23 computations (50% saved)

series55.0ms (0.5%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	u1	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
8.0ms	u1	@	inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
3.0ms	u2	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
3.0ms	u1	@	-inf	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)
2.0ms	u2	@	0	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (.f32 2 (*.f32 u2 (PI.f32))))) 3)

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`unswap-sqr`
880×	`swap-sqr`
512×	`sqr-pow`
474×	`pow-sqr`
336×	`rem-sqrt-square`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	305	79
2	3336	79

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1138×	`distribute-rgt-in`
1122×	`distribute-lft-in`
844×	`associate-r`
750×	`associate-l`
588×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	6926
1	761	6190
2	2864	6070

Stop Event

1×	node limit

Counts

158 → 167

Calls

Call 1

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

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

localize75.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.4b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
✓	1.1b	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

Compiler

Compiled 51 to 26 computations (49% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
1.0ms	u1	@	-inf	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
0.0ms	u1	@	0	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
0.0ms	u1	@	0	(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
0.0ms	u1	@	-inf	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`unswap-sqr`
1018×	`swap-sqr`
590×	`sqr-pow`
404×	`distribute-rgt-in`
366×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	334	42
2	3842	42

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))

Outputs

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1104×	`distribute-lft-in`
1096×	`distribute-rgt-in`
946×	`associate-/r*`
862×	`associate-/l*`
720×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	4909
1	767	4519
2	3058	4453

Stop Event

1×	node limit

Counts

81 → 143

Calls

Call 1

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

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

localize96.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
✓	0.3b	(.f32 (PI.f32) (.f32 u2 2))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
✓	0.6b	(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)

Compiler

Compiled 66 to 38 computations (42.4% saved)

series4.0ms (0%)

Counts

4 → 52

Calls

15 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`unswap-sqr`
890×	`swap-sqr`
542×	`sqr-pow`
362×	`distribute-rgt-in`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	94
1	362	86
2	4076	86

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

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

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1188×	`distribute-lft-in`
1184×	`distribute-rgt-in`
1052×	`associate-/r*`
726×	`associate-*r/`
706×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	261	6032
1	731	5488
2	3279	5488

Stop Event

1×	node limit

Counts

140 → 137

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))))))))
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(.f32 (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2))) (.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))))
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(.f32 (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3/2))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2) 1/4) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2) 1/4))
(.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/6))
(pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)
(pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3)
(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)
(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)))))
(exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))
(log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))

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

eval446.0ms (3.7%)

Compiler: Compiled 20947 to 13752 computations (34.3% saved)

prune195.0ms (1.6%)

Pruning

57 alts after pruning (45 fresh and 12 done)

	Pruned	Kept	Total
New	730	18	748
Fresh	10	27	37
Picked	0	1	1
Done	1	11	12
Total	741	57	798

Error

0.1b

Counts

798 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	10.9b	(pow.f32 (pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 (PI.f32) 2))) 1/6) 2) 3)
	7.9b	(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (/.f32 2 (+.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sin.f32 0))) 2))
	8.7b	(.f32 (pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	8.0b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	15.5b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (log.f32 (exp.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	7.9b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	10.3b	(.f32 (pow.f32 u1 1/4) (.f32 (pow.f32 u1 1/4) (.f32 u2 (.f32 (PI.f32) 2))))
	8.0b	(.f32 (.f32 (pow.f32 (log1p.f32 u1) 1/6) (cbrt.f32 (log1p.f32 u1))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.7b	(.f32 (.f32 (pow.f32 (exp.f32 1/2) (/.f32 (log.f32 (log1p.f32 u1)) 2)) (pow.f32 (exp.f32 1/2) (/.f32 (log.f32 (log1p.f32 u1)) 2))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	10.3b	(.f32 (.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
	10.2b	(.f32 (.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
	10.7b	(.f32 (.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
	7.2b	(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
	7.3b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 (pow.f32 u1 3) -1/3 (.f32 u1 (.f32 u1 -1/2))) u1))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	7.8b	(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
✓	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
	11.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 1)))
✓	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) (PI.f32)))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
	5.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))
	6.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (*.f32 u2 (PI.f32))))
	6.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
	5.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
✓	1.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (exp.f32 (.f32 3 (log.f32 (.f32 (PI.f32) u2)))) 1/3))))
	14.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (-.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
✓	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2))))))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	1.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
	12.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)))
	5.7b	(.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))))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	7.3b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	11.0b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (.f32 2 (.f32 u2 (PI.f32))))
✓	8.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	8.3b	(.f32 (exp.f32 (.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	10.3b	(.f32 2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 2))
	10.3b	(.f32 2 (pow.f32 (cbrt.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3))
	20.1b	(.f32 2 (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
✓	10.3b	(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	12.8b	(.f32 2 (.f32 u2 (log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))))))
	10.5b	(.f32 2 (.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
	10.8b	(.f32 2 (exp.f32 (log.f32 (.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
	30.6b	(.f32 -2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
	8.4b	(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
	10.2b	(sqrt.f32 (.f32 u1 (pow.f32 (.f32 u2 (*.f32 (PI.f32) 2)) 2)))
	10.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 (PI.f32) 2)))))

Compiler

Compiled 965 to 824 computations (14.6% saved)

regimes660.0ms (5.5%)

Counts

96 → 1

Calls

Call 1

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

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

Calls

10 calls:

309.0ms	u1
45.0ms	u2
43.0ms	(.f32 (.f32 2 (PI.f32)) u2)
42.0ms	(sin.f32 (.f32 (.f32 2 (PI.f32)) u2))
41.0ms	cosTheta_i

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 1465 to 817 computations (44.2% saved)

regimes68.0ms (0.6%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	u2
24.0ms	u1
12.0ms	cosTheta_i

Results

Error	Segments	Branch
5.8b	1	`cosTheta_i`
3.5b	2	`u1`
3.1b	2	`u2`

Compiler

Compiled 329 to 190 computations (42.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.004927038215100765	0.005097778048366308

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes83.0ms (0.7%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	u2
14.0ms	u1
7.0ms	cosTheta_i

Results

Error	Segments	Branch
7.2b	1	`cosTheta_i`
4.9b	2	`u1`
4.5b	2	`u2`

Compiler

Compiled 164 to 98 computations (40.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.004627051297575235	0.004726375453174114

Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes19.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	u2
6.0ms	u1
5.0ms	cosTheta_i

Results

Error	Segments	Branch
7.2b	1	`cosTheta_i`
7.2b	1	`u1`
7.2b	1	`u2`

Compiler

Compiled 115 to 68 computations (40.9% saved)

regimes18.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
7.8b	1	`cosTheta_i`
7.8b	1	`u1`
7.8b	1	`u2`

Compiler

Compiled 88 to 50 computations (43.2% saved)

regimes60.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

49.0ms	cosTheta_i
5.0ms	u1
5.0ms	u2

Results

Error	Segments	Branch
10.2b	1	`cosTheta_i`
10.2b	1	`u1`
10.2b	1	`u2`

Compiler

Compiled 73 to 41 computations (43.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -20.5b remaining (-199.6%)

Threshold costs -20.5b (-199.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Error	Segments	Branch
10.3b	1	`cosTheta_i`
10.3b	1	`u1`
10.3b	1	`u2`

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

102×	`distribute-lft-neg-in`
76×	`*-commutative`
56×	`distribute-rgt-neg-in`
42×	`+-commutative`
38×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	386
1	88	386
2	110	386
3	145	382
4	187	382
5	229	382
6	267	382
7	296	382
8	301	382

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 u2 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 10093173/2147483648) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 -2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))

Outputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u2 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (.f32 (PI.f32) u2)))))
(if (<=.f32 u2 5368709/1073741824) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(if (<=.f32 u2 10093173/2147483648) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 u2 10093173/2147483648) (.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (.f32 (PI.f32) (.f32 2 u2))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 -1/3 u1))))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (-.f32 u1 (.f32 (.f32 u1 u1) (+.f32 -1/2 (.f32 u1 -1/3))))) (.f32 (PI.f32) (.f32 2 u2)))
(.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 -1/2)) u1))) (.f32 2 (*.f32 u2 (PI.f32))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (.f32 u1 (*.f32 u1 -1/2)) u1))))
(.f32 (.f32 2 (.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (.f32 u1 (*.f32 u1 1/2)))))
(.f32 (.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(.f32 (.f32 (PI.f32) u2) (*.f32 2 (sqrt.f32 u1)))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 -2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(.f32 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) -2)

Compiler

Compiled 147 to 114 computations (22.4% saved)

soundness30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-def`
62×	`associate-+l-`
60×	`+-commutative`
52×	`associate-+l+`
40×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Stop Event

1×

saturated

Compiler

Compiled 54 to 38 computations (29.6% saved)

end70.0ms (0.6%)

Compiler: Compiled 126 to 71 computations (43.7% saved)

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	54	386
1	88	386
2	110	386
3	145	382
4	187	382
5	229	382
6	267	382
7	296	382
8	301	382

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	54	386
1	88	386
2	110	386
3	145	382
4	187	382
5	229	382
6	267	382
7	296	382
8	301	382

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41

Iter	Nodes	Cost
0	54	386
1	88	386
2	110	386
3	145	382
4	187	382
5	229	382
6	267	382
7	296	382
8	301	382

Iter	Nodes	Cost
0	17	43
1	29	41
2	41	41
3	51	41
4	61	41
5	75	41
6	98	41
7	123	41
8	201	41
9	234	41
10	256	41
11	366	41
12	394	41
13	407	41
14	411	41
15	412	41