Details

analyze463.0ms (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.4s (43%)

Results

2.4s	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess37.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

104×	`fma-neg_binary32`
95×	`fma-def_binary32`
60×	`sub-neg_binary32`
45×	`cancel-sign-sub-inv_binary32`
30×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
13×	`fma-def_binary32`
10×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Stop Event

1×

saturated

Counts

1 → 2

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 90 to 77 computations (14.4% saved)

localize34.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series51.0ms (0.9%)

Counts

4 → 32

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
5.0ms	u1	@	-inf	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
4.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite51.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary32`
202×	`expm1-udef_binary32`
202×	`log1p-udef_binary32`
132×	`add-sqr-sqrt_binary32`
128×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	265	37
2	3227	37

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

538×	`cancel-sign-sub-inv_binary32`
348×	`times-frac_binary32`
276×	`associate-*l/_binary32`
248×	`associate-/r*_binary32`
218×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2008
1	588	1830
2	2199	1690

Stop Event

1×	node limit

Counts

108 → 124

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(-.f32 (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.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 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2))))))

Outputs
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(+.f32 (fma.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (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 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (.f32 -1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))))))
(+.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (.f32 1/4 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))) (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))) (.f32 (.f32 -1/8 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1))))
(+.f32 (fma.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (.f32 u1 u1)) (-.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 1/4) (.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
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(.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 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (*.f32 (pow.f32 u2 3) -4/3)))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3)))
(fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 4/15))) (fma.f32 (.f32 8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 4/3))))
(+.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))) (.f32 (pow.f32 (PI.f32) 7) (.f32 (pow.f32 u2 7) -8/315)))
(sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(+.f32 (+.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 1 (.f32 u1 u1))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 u1 u1)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (*.f32 u1 u1)) -1/8))
(+.f32 (+.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/2 u1)))) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (.f32 u1 u1)) -1/8))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5))) (/.f32 1 (pow.f32 u1 3))) (+.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (fma.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 1 (.f32 u1 u1))) (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 1 (pow.f32 u1 3)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 1 (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 3))))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (+.f32 (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 u1 u1)) (.f32 1/6 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (pow.f32 u1 3)))) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5))) (pow.f32 u1 3)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))))))
(-.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (+.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/6 (pow.f32 u1 3)))) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5))) (pow.f32 u1 3)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (/.f32 1/8 (pow.f32 u1 3)))))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2)))))
(+.f32 (+.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (.f32 u1 u1))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (*.f32 u1 u1)))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 u1 u1)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (*.f32 u1 u1)) -1/8))
(+.f32 (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/2 u1)))) (.f32 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (.f32 u1 u1)) -1/8))
(-.f32 (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 2))))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 1 (pow.f32 u1 3))) (fma.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 3))) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (.f32 u1 u1)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (pow.f32 u1 3))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 1 (.f32 u1 u1))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (+.f32 (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (pow.f32 u1 3)) (fma.f32 1/6 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (pow.f32 u1 3)) (fma.f32 1/4 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 u1 u1)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (.f32 u1 u1)))))))
(-.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 1/16 (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (pow.f32 u1 3)) (+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1/4 (.f32 u1 u1)) (/.f32 1/6 (pow.f32 u1 3))))))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 1/8 (.f32 u1 u1)) (/.f32 1/8 (pow.f32 u1 3)))))

prune182.0ms (3.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	109	15	124
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	110	16	126

Error

0.0b

Counts

126 → 16

Alt Table

Status	Error	Program
	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))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	2.0b	(-.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	7.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.6b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	7.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.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))))))
	7.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	2.7b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	7.1b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))

Compiler

Compiled 4039 to 2755 computations (31.8% saved)

localize42.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series57.0ms (1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	u2	@	inf	(log1p.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
23.0ms	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))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`prod-diff_binary32`
217×	`log1p-udef_binary32`
140×	`add-sqr-sqrt_binary32`
137×	`pow1_binary32`
135×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	286	39
2	3433	39

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary32`
670×	`associate-l_binary32`
426×	`cancel-sign-sub-inv_binary32`
197×	`fma-neg_binary32`
192×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1726
1	473	1611
2	1673	1493

Stop Event

1×	node limit

Counts

99 → 99

Calls

Call 1

Inputs
(.f32 2 (.f32 u2 (PI.f32)))
(-.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(-.f32 (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(-.f32 (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(.f32 2 (.f32 u2 (PI.f32)))
(-.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(-.f32 (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (+.f32 (.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))))))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)))) (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))

Outputs
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (PI.f32)))
(-.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(.f32 2 (-.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))))
(.f32 2 (.f32 u2 (-.f32 (PI.f32) (*.f32 u2 (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (-.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)))))
(fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 2 (-.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(fma.f32 2 (.f32 u2 (-.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 4/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 4/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 2 (.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 u2)))))
(-.f32 (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 2 (-.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2))))) (.f32 (pow.f32 (PI.f32) 4) (*.f32 4/3 (pow.f32 u2 4))))
(fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 2 (.f32 u2 (-.f32 (PI.f32) (.f32 u2 (pow.f32 (PI.f32) 2)))) (.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) -4/3))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(log.f32 (+.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) 1))
(log.f32 (+.f32 1 (sin.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(log1p.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))))
(log1p.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 u2 (.f32 2 (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 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3))
(fma.f32 (.f32 (pow.f32 u2 3) -4/3) (pow.f32 (PI.f32) 3) (.f32 2 (*.f32 u2 (PI.f32))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3)))
(fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 (.f32 (pow.f32 u2 3) -4/3) (pow.f32 (PI.f32) 3) (.f32 2 (.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 u2 (PI.f32)))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 u2 (.f32 2 (PI.f32)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 (pow.f32 (PI.f32) 7) (.f32 8/315 (pow.f32 u2 7)))))
(fma.f32 2 (.f32 u2 (PI.f32)) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3 (.f32 (pow.f32 (PI.f32) 7) (*.f32 (pow.f32 u2 7) -8/315)))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 u2 (PI.f32))))
(sin.f32 (.f32 u2 (.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1))))
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(-.f32 (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (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 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
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(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3)))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(-.f32 (fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(-.f32 (fma.f32 2 (.f32 (PI.f32) (.f32 u2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (fma.f32 4/3 (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 8/315 (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))))
(-.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

prune148.0ms (2.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	15	15
Picked	1	0	1
Done	0	0	0
Total	113	17	130

Error

0.0b

Counts

130 → 17

Alt Table

Status	Error	Program
	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))
▶	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	2.0b	(-.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	7.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	2.7b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	7.1b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))
	7.6b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
	7.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	2.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 2 (*.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))))))
	7.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))

Compiler

Compiled 3626 to 2456 computations (32.3% saved)

localize58.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (*.f32 (PI.f32) u2))
	0.3b	(*.f32 (PI.f32) u2)
✓	0.3b	(.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)

series18.0ms (0.3%)

Counts

3 → 16

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
2.0ms	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))))
2.0ms	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))))
2.0ms	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))))
2.0ms	u2	@	inf	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`prod-diff_binary32`
212×	`log1p-udef_binary32`
140×	`add-sqr-sqrt_binary32`
137×	`pow1_binary32`
135×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	308	29
2	3425	29

Stop Event

1×	node limit

Counts

3 → 72

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

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

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

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary32`
423×	`associate-r_binary32`
394×	`associate-l_binary32`
303×	`cancel-sign-sub-inv_binary32`
186×	`associate--l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1198
1	376	1096
2	1314	1008

Stop Event

1×	node limit

Counts

88 → 98

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))

Outputs
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (.f32 (sin.f32 (.f32 u2 (.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1)) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
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(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(-.f32 (fma.f32 2 (.f32 (.f32 (PI.f32) u2) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 (.f32 4/15 (pow.f32 u2 5)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 5)))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 7))) (.f32 (.f32 4/3 (pow.f32 u2 3)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 2 (.f32 (PI.f32) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) u2)) (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 5)) (.f32 4/15 (pow.f32 u2 5)))) (fma.f32 4/3 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 (.f32 (.f32 8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(+.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 2 (.f32 (PI.f32) u2)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

prune121.0ms (2.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	5	11	16
Picked	0	1	1
Done	0	0	0
Total	115	15	130

Error

0.0b

Counts

130 → 15

Alt Table

Status	Error	Program
	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))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.8b	(.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	7.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	2.7b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	7.6b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
▶	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32))))))
	7.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	7.1b	(cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 3)))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(fma.f32 2 (.f32 (PI.f32) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) u2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))

Compiler

Compiled 3371 to 2147 computations (36.3% saved)

localize46.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts

4 → 32

Calls

15 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`prod-diff_binary32`
150×	`associate-r_binary32`
150×	`add-sqr-sqrt_binary32`
146×	`pow1_binary32`
145×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	305	39
2	3695	39

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

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

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary32`
555×	`associate-l_binary32`
366×	`cancel-sign-sub-inv_binary32`
162×	`associate-/r*_binary32`
160×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1400
1	414	1294
2	1473	1196

Stop Event

1×	node limit

Counts

99 → 104

Calls

Call 1

Inputs
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.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 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))

Outputs
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(*.f32 (PI.f32) u2)
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))))))))
(-.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))) (.f32 -1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))))) (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) 1/8)))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1))) (.f32 (.f32 -1/8 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)) 3)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 u1)))))
(-.f32 (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(-.f32 (fma.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5)))) (fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (fma.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1))) (fma.f32 1/6 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3))) (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))))) (.f32 1/8 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3))) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3)))))))
(+.f32 (fma.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 5)))) (+.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (.f32 1/6 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1))))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)) 3))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1))))))
(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)) 3))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)))) (fma.f32 1/16 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)) 5)))) (pow.f32 u1 3)) (+.f32 (.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))) (+.f32 (/.f32 (.f32 1/2 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) u1) (fma.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (/.f32 (.f32 1/6 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 u1 3))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 -1)) (log.f32 u1)))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))
(+.f32 (fma.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (fma.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))) (.f32 -1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))
(+.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))))) (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (/.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) u1)) -1/8))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (-.f32 (.f32 1/4 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 1/8 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))) (+.f32 (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))) (.f32 1/8 (.f32 (/.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(-.f32 (fma.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (fma.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)))) (fma.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 1/2 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 1/6 (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))) (.f32 1/8 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))) (pow.f32 u1 3)) (.f32 (/.f32 (sin.f32 (.f32 2 (.f32 (PI.f32) u2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (fma.f32 1/16 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5)))) (fma.f32 1/4 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (/.f32 (.f32 1/6 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 u1 3)))))) (.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 u1 u1)))))))
(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))) (fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (fma.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (.f32 1/4 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 u1 u1)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) (pow.f32 u1 3)) (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) 1/6) (*.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) 1/16))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (PI.f32) u2)))
(.f32 (PI.f32) (.f32 (*.f32 u2 2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (neg.f32 (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 3))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) u2)) (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) -4/3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3 (.f32 (PI.f32) (.f32 u2 2))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(+.f32 (fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 5))))) (.f32 -4/3 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 3)))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) u2)) (fma.f32 (.f32 4/15 (pow.f32 u2 5)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 5)) (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) -4/3)))
(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3)))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(-.f32 (fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 5))))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 3))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) u2)) (-.f32 (fma.f32 (.f32 4/15 (pow.f32 u2 5)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (PI.f32) 5)) (.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) -4/3)) (.f32 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 8/315))))
(-.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (PI.f32) (.f32 u2 2) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(.f32 2 (.f32 u2 (PI.f32)))
(.f32 2 (.f32 (PI.f32) u2))
(.f32 (PI.f32) (.f32 u2 2))
(-.f32 (.f32 2 (.f32 u2 (PI.f32))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 2 (.f32 (PI.f32) u2)) (.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (.f32 (PI.f32) u2) (.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3))
(fma.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3 (.f32 (PI.f32) (*.f32 u2 2)))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 (PI.f32) u2))) (.f32 4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 2 (.f32 (PI.f32) u2) (.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3)))
(fma.f32 (PI.f32) (.f32 u2 2) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3))))
(-.f32 (+.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 2 (.f32 (PI.f32) u2))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(-.f32 (fma.f32 2 (.f32 (PI.f32) u2) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))) (fma.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(fma.f32 (PI.f32) (.f32 u2 2) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (fma.f32 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) -4/3 (.f32 (pow.f32 (PI.f32) 7) (*.f32 (pow.f32 u2 7) -8/315)))))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))
(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
(sin.f32 (.f32 (PI.f32) (.f32 u2 2)))

prune108.0ms (1.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	104	15	119

Error

0.0b

Counts

119 → 15

Alt Table

Status	Error	Program
	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))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.8b	(.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	7.2b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)))
	2.7b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	7.6b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	7.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))) 2)))
✓	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) (PI.f32))))))
	7.3b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))) 3)
	2.7b	(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) -4/3)))))
	14.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	2.7b	(fma.f32 2 (.f32 (PI.f32) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) u2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
	1.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 2 (*.f32 (PI.f32) u2)))) 2))

Compiler

Compiled 2932 to 1902 computations (35.1% saved)

regimes1.2s (21.1%)

Accuracy

Total 0.4b remaining (80.5%)

Threshold costs 0.4b (80.5%)

Counts

165 → 1

Compiler

Compiled 2729 to 1424 computations (47.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	25	26
2	29	26
3	31	26

Stop Event

1×

saturated

Calls

Call 1

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

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

end214.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 360 to 295 computations (18.1% saved)

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21

Details

analyze463.0ms (8.3%)

sample2.4s (43%)

preprocess37.0ms (0.7%)

simplify14.0ms (0.2%)

prune5.0ms (0.1%)

localize34.0ms (0.6%)

series51.0ms (0.9%)

rewrite51.0ms (0.9%)

simplify52.0ms (0.9%)

prune182.0ms (3.3%)

localize42.0ms (0.7%)

series57.0ms (1%)

rewrite53.0ms (1%)

simplify47.0ms (0.8%)

prune148.0ms (2.7%)

localize58.0ms (1%)

series18.0ms (0.3%)

rewrite56.0ms (1%)

simplify37.0ms (0.7%)

prune121.0ms (2.2%)

localize46.0ms (0.8%)

series13.0ms (0.2%)

rewrite53.0ms (0.9%)

simplify38.0ms (0.7%)

prune108.0ms (1.9%)

regimes1.2s (21.1%)

simplify2.0ms (0%)

end214.0ms (3.8%)

Profiling

Iter	Nodes	Cost
0	30	88
1	59	84
2	98	84
3	124	84
4	155	84
5	191	84
6	231	84
7	319	84
8	490	84
9	531	84
10	585	84
11	635	84
12	726	84
13	773	84
14	791	84
15	794	84
0	3	3

Iter	Nodes	Cost
0	14	22
1	26	21
2	39	21
3	49	21
4	60	21
5	74	21
6	92	21
7	119	21
8	149	21
9	162	21
10	184	21
11	206	21
12	245	21
13	262	21
14	268	21
15	269	21