Details

analyze458.0ms (6.8%)

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 (35.3%)

Results

2.4s	8256×	body	128	valid
2.0ms	7×	body	128	invalid

preprocess42.0ms (0.6%)

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify16.0ms (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)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

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

eval1.0ms (0%)

Compiler: Compiled 28 to 23 computations (17.9% saved)

prune3.0ms (0%)

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

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	15.3b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series51.0ms (0.8%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
6.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`prod-diff_binary32`
204×	`expm1-udef_binary32`
204×	`log1p-udef_binary32`
133×	`add-sqr-sqrt_binary32`
129×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	266	37
2	3250	37

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

962×	`fma-def_binary32`
391×	`times-frac_binary32`
375×	`associate-/l*_binary32`
291×	`associate-*l/_binary32`
263×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	2191
1	492	1861
2	1724	1652

Stop Event

1×	node limit

Counts

148 → 148

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (.f32 -2 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 -4/45 (.f32 (.f32 (sqrt.f32 -1) (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (.f32 2/3 (.f32 (.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
1
(+.f32 1 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 2/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (.f32 -4/45 (.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(cos.f32 (.f32 2 (.f32 u2 (PI.f32))))
(.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))

Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 -1/2 (.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 u1 u1)))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 -1)))))
(+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))))))
(fma.f32 -1/2 (.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (.f32 u1 u1)) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (/.f32 u1 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (sqrt.f32 -1))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))
(.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (pow.f32 (sqrt.f32 -1) 2)))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1))
(.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (*.f32 u2 (PI.f32)) 2)) u1))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1)))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))))
(+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (.f32 (.f32 u2 (PI.f32)) 2)) u1)) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 (*.f32 u2 (PI.f32)) 2))))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 u1 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) u1))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1)))
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(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1)) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (+.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1) 1) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (.f32 -1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (.f32 -1/2 (.f32 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (+.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))) (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 -1) u1) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))))
(fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (.f32 (+.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1) 1) (/.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))) (.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1)
(neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(fma.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)))
(fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1))
(fma.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 -1/2 u1) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2))))))
(fma.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (.f32 u1 u1))))))
(fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 u1 u1))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (*.f32 u1 u1)) (/.f32 -1/2 u1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 u1))) (+.f32 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (pow.f32 u1 2)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 1/2 (.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (pow.f32 (sqrt.f32 -1) 2) (.f32 -1/2 (+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (.f32 u1 u1))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (fma.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 u1 u1)) (/.f32 (-.f32 1/3 (.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1)))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) -1 (.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (+.f32 (/.f32 (+.f32 1/3 (.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)) (/.f32 (+.f32 1/2 (pow.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (.f32 u1 u1))) (/.f32 1 u1))))

eval81.0ms (1.2%)

Compiler: Compiled 4454 to 2853 computations (35.9% saved)

prune72.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	138	10	148
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	140	10	150

Error

0.1b

Counts

150 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))
	8.5b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
	7.3b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	6.9b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))

Compiler

Compiled 778 to 516 computations (33.7% saved)

localize94.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
✓	0.5b	(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
✓	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	29.2b	(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))

series35.0ms (0.5%)

Counts

4 → 42

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u2	@	0	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
6.0ms	u2	@	-inf	(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
6.0ms	u2	@	inf	(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
3.0ms	u2	@	inf	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
2.0ms	u2	@	0	(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))

rewrite129.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary32`
200×	`log1p-udef_binary32`
144×	`egg-rr`
139×	`add-sqr-sqrt_binary32`
135×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	311	54
2	3412	54

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-neg_binary32`
437×	`cancel-sign-sub-inv_binary32`
378×	`fma-def_binary32`
348×	`associate-l_binary32`
328×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	858
1	211	712
2	674	614
3	3307	614

Stop Event

1×	node limit

Counts

267 → 246

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
1
(+.f32 1 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))

Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(+.f32 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2) (.f32 -1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(.f32 0 (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
0
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))
(+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(fma.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 (pow.f32 u2 6) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (.f32 (+.f32 (.f32 -1/2520 (pow.f32 (PI.f32) 8)) (.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2) (.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 u2 (.f32 u2 (pow.f32 (PI.f32) 2)) (fma.f32 -1/3 (.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (.f32 (*.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 1/3)
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
1
(+.f32 1 (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (.f32 (.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) 1)
(fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) 1)
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (.f32 (-.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 1 (fma.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 4) 1/3) (.f32 1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4) (.f32 (.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3))))
(fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3) 1))
(+.f32 1 (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 4)) (.f32 1/4 (pow.f32 (PI.f32) 4))) (.f32 -1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4)) (+.f32 (.f32 (pow.f32 u2 6) (-.f32 (+.f32 (.f32 -1/24 (pow.f32 (PI.f32) 6)) (.f32 -1/360 (pow.f32 (PI.f32) 6))) (+.f32 (.f32 1/60 (pow.f32 (PI.f32) 6)) (.f32 1/36 (pow.f32 (PI.f32) 6))))) (.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(+.f32 1 (fma.f32 (+.f32 (.f32 (pow.f32 (PI.f32) 4) 1/3) (.f32 1/3 (pow.f32 (PI.f32) 4))) (pow.f32 u2 4) (fma.f32 (pow.f32 u2 6) (-.f32 (.f32 (pow.f32 (PI.f32) 6) -2/45) (.f32 (pow.f32 (PI.f32) 6) 2/45)) (.f32 (.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))))
(+.f32 1 (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) (fma.f32 (.f32 u2 u2) (.f32 (pow.f32 (PI.f32) 2) -2) (.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) -4/45)))))
(+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3) 1)))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))
(-.f32 (pow.f32 (cos.f32 (.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (.f32 u2 (PI.f32))) 2))

eval909.0ms (13.5%)

Compiler: Compiled 59375 to 25801 computations (56.5% saved)

prune900.0ms (13.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	618	4	622
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	620	12	632

Error

0.0b

Counts

632 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (neg.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))
	8.5b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
	7.3b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) 1))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))

Compiler

Compiled 1386 to 834 computations (39.8% saved)

localize82.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (PI.f32) u2)
	0.3b	(fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
	0.5b	(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)

eval225.0ms (3.3%)

Compiler: Compiled 19950 to 7741 computations (61.2% saved)

prune342.0ms (5.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	374	4	378
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	379	11	390

Error

0.0b

Counts

390 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) 2))))) 0))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) 0))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (neg.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) 0))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) 1))) 0))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	7.3b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))

Compiler

Compiled 1082 to 670 computations (38.1% saved)

localize88.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
	0.5b	(pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)
✓	0.6b	(pow.f32 (exp.f32 u2) (PI.f32))
✓	12.3b	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))

series95.0ms (1.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
62.0ms	u2	@	-inf	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
30.0ms	u2	@	inf	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
1.0ms	u2	@	0	(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
1.0ms	u2	@	0	(pow.f32 (exp.f32 u2) (PI.f32))
0.0ms	u2	@	inf	(pow.f32 (exp.f32 u2) (PI.f32))

rewrite37.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary32`
498×	`add-log-exp_binary32`
498×	`log1p-expm1-u_binary32`
498×	`expm1-log1p-u_binary32`
484×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	117	12
2	1386	12

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-out_binary32`
496×	`fma-def_binary32`
470×	`associate-l_binary32`
433×	`associate-r_binary32`
220×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	183
1	179	179
2	685	177
3	4042	177

Stop Event

1×	node limit

Counts

71 → 58

Calls

Call 1

Inputs
(*.f32 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (.f32 u2 (PI.f32))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (+.f32 (.f32 1/24 (.f32 (+.f32 (.f32 12 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (pow.f32 (PI.f32) 4) (.f32 -6 (pow.f32 (PI.f32) 4)))))) (pow.f32 u2 4))) (.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
1
(+.f32 1 (*.f32 u2 (PI.f32)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 u2 (PI.f32)))

Outputs
(*.f32 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (+.f32 (.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (+.f32 (pow.f32 (PI.f32) 3) (.f32 -3 (pow.f32 (PI.f32) 3)))))) (+.f32 (.f32 1/24 (.f32 (+.f32 (.f32 12 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -3 (pow.f32 (PI.f32) 4)) (+.f32 (.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (pow.f32 (PI.f32) 4) (.f32 -6 (pow.f32 (PI.f32) 4)))))) (pow.f32 u2 4))) (.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
1
(+.f32 1 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 u2 (PI.f32)) 1)
(fma.f32 u2 (PI.f32) 1)
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (*.f32 u2 (PI.f32))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (+.f32 (*.f32 u2 (PI.f32)) 1))
(fma.f32 (.f32 1/2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2) (fma.f32 u2 (PI.f32) 1))
(fma.f32 u2 (PI.f32) (fma.f32 (pow.f32 (PI.f32) 2) (.f32 u2 (.f32 u2 1/2)) 1))
(+.f32 (.f32 1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (+.f32 1 (fma.f32 u2 (PI.f32) (.f32 1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (fma.f32 u2 (PI.f32) (.f32 1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))) (fma.f32 (.f32 1/2 (.f32 u2 u2)) (pow.f32 (PI.f32) 2) 1))
(fma.f32 1/2 (.f32 (.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (fma.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) 1)))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))
(exp.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (exp.f32 u2) (PI.f32))

eval124.0ms (1.8%)

Compiler: Compiled 10145 to 4286 computations (57.8% saved)

prune127.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	202	13	215

Error

0.0b

Counts

215 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2)) 3))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)))) 1)))) 0))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) 0))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32))))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (neg.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) 0))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) 1))) 0))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	7.3b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) 2)))) 0))

Compiler

Compiled 555 to 364 computations (34.4% saved)

regimes169.0ms (2.5%)

Accuracy

Total -19.4b remaining (-6410%)

Threshold costs -19.4b (-6410%)

Counts

24 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2)) 3))) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)))) 1)))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (.f32 (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32)) (pow.f32 (sqrt.f32 (exp.f32 u2)) (PI.f32))))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) u2))) 2) 2)))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) 2))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (neg.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) 1))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2)) (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) u2))) 2) (neg.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (.f32 (sin.f32 (.f32 (PI.f32) u2)) (sqrt.f32 (sin.f32 (.f32 (PI.f32) u2))))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) 0))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (fma.f32 1 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (neg.f32 (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4)))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 4))) 2))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (.f32 (pow.f32 u2 6) (.f32 (pow.f32 (PI.f32) 6) -4/45)) (fma.f32 u2 (.f32 (pow.f32 (PI.f32) 2) (.f32 -2 u2)) (fma.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) 2/3) 1))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) u2)) (cos.f32 (.f32 (PI.f32) u2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) 3)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))))))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(.f32 (exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2) (cbrt.f32 (cos.f32 (.f32 (PI.f32) (.f32 u2 2))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (fma.f32 (.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) u2)) 2)) (neg.f32 (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)))))) (fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2))) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))
(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

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

Results

Time	Error	Segments	Branch
14.0ms	0.3b	1	`cosTheta_i`
13.0ms	0.3b	1	`u1`
12.0ms	0.3b	1	`u2`
11.0ms	0.3b	1	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))`
7.0ms	0.3b	1	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))`
17.0ms	0.3b	1	`(neg.f32 (log.f32 (-.f32 1 u1)))`
11.0ms	0.3b	1	`(log.f32 (-.f32 1 u1))`
20.0ms	0.3b	1	`(-.f32 1 u1)`
10.0ms	0.3b	1	`(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))`
17.0ms	0.3b	1	`(.f32 (.f32 2 (PI.f32)) u2)`

Compiler

Compiled 1297 to 616 computations (52.5% 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	13	21
1	22	21
2	26	21
3	28	21

Stop Event

1×

saturated

Calls

Call 1

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

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

end16.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 26 computations (13.3% 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

analyze458.0ms (6.8%)

sample2.4s (35.3%)

preprocess42.0ms (0.6%)

simplify16.0ms (0.2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize48.0ms (0.7%)

series51.0ms (0.8%)

rewrite70.0ms (1%)

simplify53.0ms (0.8%)

eval81.0ms (1.2%)

prune72.0ms (1.1%)

localize94.0ms (1.4%)

series35.0ms (0.5%)

rewrite129.0ms (1.9%)

simplify53.0ms (0.8%)

eval909.0ms (13.5%)

prune900.0ms (13.4%)

localize82.0ms (1.2%)

eval225.0ms (3.3%)

prune342.0ms (5.1%)

localize88.0ms (1.3%)

series95.0ms (1.4%)

rewrite37.0ms (0.5%)

simplify31.0ms (0.5%)

eval124.0ms (1.8%)

prune127.0ms (1.9%)

regimes169.0ms (2.5%)

simplify2.0ms (0%)

end16.0ms (0.2%)

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