Details

analyze412.0ms (7.7%)

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)

sample2.3s (43.1%)

Results

2.3s	8256×	body	128	valid
1.0ms	4×	body	128	invalid

Compiler

Compiled 78 to 62 computations (20.5% saved)

preprocess38.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	12.8b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

Compiler

Compiled 90 to 77 computations (14.4% saved)

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series45.0ms (0.8%)

Counts

4 → 32

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
3.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	265	37
2	3222	37

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

108 → 124

Calls

Call 1

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

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

prune140.0ms (2.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	108	16	124
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	16	126

Error

0.1b

Counts

126 → 16

Alt Table

Status	Error	Program
	9.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
	3.1b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	2.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 2))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	8.7b	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	11.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	2.1b	(-.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 2 (.f32 u2 (PI.f32)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	8.8b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Compiler

Compiled 4085 to 2823 computations (30.9% saved)

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sin.f32 (.f32 2 (cbrt.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))
✓	0.3b	(*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
✓	1.0b	(pow.f32 (PI.f32) 3)

series21.0ms (0.4%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
2.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`prod-diff_binary32`
251×	`log1p-udef_binary32`
165×	`add-sqr-sqrt_binary32`
159×	`pow1_binary32`
156×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	359	40
2	4054	40

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

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

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary32`
573×	`associate-l_binary32`
366×	`cancel-sign-sub-inv_binary32`
160×	`associate-*l/_binary32`
160×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1528
1	428	1418
2	1508	1320

Stop Event

1×	node limit

Counts

105 → 113

Calls

Call 1

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

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

prune154.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	116	13	129

Error

0.1b

Counts

129 → 13

Alt Table

Status	Error	Program
	9.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	2.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	8.7b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	11.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) 3) (PI.f32)) (pow.f32 u2 3))))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))
	3.1b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Compiler

Compiled 3391 to 2273 computations (33% saved)

localize68.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))
✓	1.0b	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2)))
✓	1.0b	(pow.f32 (PI.f32) 2)
✓	1.0b	(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))

series3.0ms (0.1%)

Counts

4 → 20

Calls

6 calls:

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

rewrite33.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

203×	`add-sqr-sqrt_binary32`
198×	`pow1_binary32`
195×	`associate-r_binary32`
194×	`*-un-lft-identity_binary32`
190×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	437	38

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (PI.f32) 7/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (PI.f32) (pow.f32 (pow.f32 (PI.f32) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (PI.f32) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (PI.f32) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (pow.f32 (cbrt.f32 (PI.f32)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) 1) (pow.f32 (cbrt.f32 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (PI.f32))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (PI.f32) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (PI.f32) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (PI.f32) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (pow.f32 (PI.f32) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (PI.f32) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)) 3) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 (.f32 (PI.f32) (pow.f32 (cbrt.f32 (PI.f32)) 4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 1))))))

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary32`
439×	`associate-r_binary32`
415×	`associate-l_binary32`
303×	`cancel-sign-sub-inv_binary32`
186×	`associate--l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1306
1	390	1200
2	1349	1112

Stop Event

1×	node limit

Counts

86 → 94

Calls

Call 1

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

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

prune122.0ms (2.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	94	13	107

Error

0.0b

Counts

107 → 13

Alt Table

Status	Error	Program
	8.7b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	11.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	2.1b	(+.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (.f32 2 (.f32 (PI.f32) u2)) (.f32 8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) 1/3) (pow.f32 u2 3))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))) 3))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))))) (pow.f32 u2 3))))))
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	9.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))
	3.1b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
▶	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Compiler

Compiled 3474 to 2384 computations (31.4% saved)

localize59.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

series31.0ms (0.6%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
8.0ms	u2	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
3.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))
2.0ms	u2	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`expm1-udef_binary32`
240×	`log1p-udef_binary32`
237×	`fma-def_binary32`
156×	`add-sqr-sqrt_binary32`
153×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	310	40
2	3979	40

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary32`
440×	`cancel-sign-sub-inv_binary32`
275×	`times-frac_binary32`
245×	`associate-/l*_binary32`
188×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1908
1	495	1776
2	1835	1659

Stop Event

1×	node limit

Counts

92 → 96

Calls

Call 1

Inputs
(.f32 2 (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(+.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))) (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))))
(-.f32 (+.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))) (+.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))) (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))))) (.f32 1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))))
(-.f32 (+.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))) (+.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))) (+.f32 (.f32 1/3 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))) (.f32 1/8 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 5))))))))) (+.f32 (.f32 1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3))))) (.f32 1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)) 3)))))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) u1)) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))))
(-.f32 (+.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))))) (.f32 1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))))))
(-.f32 (+.f32 (.f32 1/3 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 1/8 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 5))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (+.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))))))))) (+.f32 (.f32 1/4 (.f32 (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 3)))) (.f32 1/4 (.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 -1 u1)) 3)))))))
(.f32 2 (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))
(-.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))
(-.f32 (+.f32 (.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/15 (.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))) (+.f32 (.f32 8/315 (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 4/3 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 2 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 (cos.f32 (.f32 (PI.f32) u2)) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (PI.f32) u2)))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (PI.f32) u2)
(-.f32 (.f32 u2 (PI.f32)) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 u2 (PI.f32))) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 u2 (PI.f32))) (+.f32 (.f32 1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) u2)
(-.f32 (.f32 u2 (PI.f32)) (.f32 2/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 2/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 u2 (PI.f32))) (.f32 2/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(-.f32 (+.f32 (.f32 2/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 u2 (PI.f32))) (+.f32 (.f32 4/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (.f32 2/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(.f32 (cos.f32 (.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))
(.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))

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

prune135.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	4	7	11
Picked	0	1	1
Done	0	1	1
Total	128	11	139

Error

0.0b

Counts

139 → 11

Alt Table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) 2))) (pow.f32 u2 3))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 3) (cos.f32 (*.f32 (PI.f32) u2)))))
	0.5b	(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) 3) 3) 1/3) (pow.f32 u2 3))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (cbrt.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 4) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))))) (pow.f32 u2 3))))))
	9.5b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	9.6b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 2)
	8.7b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	3.1b	(fma.f32 2 (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 (pow.f32 u2 3) -4/3)))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) 2)))
✓	0.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))

Compiler

Compiled 3770 to 1849 computations (51% saved)

regimes1.2s (21.6%)

Accuracy

Total 0.4b remaining (78.8%)

Threshold costs 0.4b (78.8%)

Counts

164 → 1

Compiler

Compiled 3136 to 1636 computations (47.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-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	21	44
1	32	44
2	36	44
3	38	44

Stop Event

1×

saturated

Calls

Call 1

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

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

end192.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 316 to 253 computations (19.9% 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

analyze412.0ms (7.7%)

sample2.3s (43.1%)

preprocess38.0ms (0.7%)

simplify12.0ms (0.2%)

prune4.0ms (0.1%)

localize37.0ms (0.7%)

series45.0ms (0.8%)

rewrite48.0ms (0.9%)

simplify44.0ms (0.8%)

prune140.0ms (2.6%)

localize48.0ms (0.9%)

series21.0ms (0.4%)

rewrite55.0ms (1%)

simplify39.0ms (0.7%)

prune154.0ms (2.9%)

localize68.0ms (1.3%)

series3.0ms (0.1%)

rewrite33.0ms (0.6%)

simplify33.0ms (0.6%)

prune122.0ms (2.3%)

localize59.0ms (1.1%)

series31.0ms (0.6%)

rewrite50.0ms (0.9%)

simplify47.0ms (0.9%)

prune135.0ms (2.5%)

regimes1.2s (21.6%)

simplify5.0ms (0.1%)

end192.0ms (3.6%)

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