Details

analyze451.0ms (8.7%)

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)

sample2.4s (45.6%)

Results

2.3s	8256×	body	128	valid
2.0ms	9×	body	128	invalid

preprocess34.0ms (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))))

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	14.1b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 90 to 77 computations (14.4% saved)

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

series47.0ms (0.9%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
4.0ms	u2	@	inf	(*.f32 (PI.f32) u2)
3.0ms	u2	@	0	(sin.f32 (.f32 2 (.f32 (PI.f32) u2)))
2.0ms	u1	@	-inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))

rewrite49.0ms (1%)

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

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary32`
640×	`associate-l_binary32`
401×	`times-frac_binary32`
350×	`associate-/r*_binary32`
304×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1996
1	456	1798
2	1534	1640

Stop Event

1×	node limit

Counts

128 → 128

Calls

Call 1

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

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

prune173.0ms (3.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	110	18	128
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	112	18	130

Error

0.1b

Counts

130 → 18

Alt Table

Status	Error	Program
	7.7b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	2.3b	(+.f32 (.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 u2 (.f32 (PI.f32) 2)))) (.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 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.1b	(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
	7.6b	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	15.3b	(+.f32 (.f32 -4/3 (.f32 (pow.f32 u2 3) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (PI.f32) 3)))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32)))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (+.f32 1 (expm1.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2)))))))
	0.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 (PI.f32) 2) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 4/15) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))))
▶	0.6b	(.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)))))
	7.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	15.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	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))

Compiler

Compiled 4063 to 2854 computations (29.8% saved)

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0.2%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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)))))
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)))))
1.0ms	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)))))
1.0ms	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)))))

rewrite52.0ms (1%)

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

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)))))

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.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 log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)))))))) (#(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 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))))))

((#(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 log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.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))))))

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

396×	`times-frac_binary32`
319×	`associate-/l*_binary32`
314×	`distribute-rgt-in_binary32`
310×	`distribute-lft-in_binary32`
236×	`associate-/r*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1847
1	521	1684
2	1893	1510

Stop Event

1×	node limit

Counts

96 → 94

Calls

Call 1

Inputs
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (+.f32 (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3))))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (pow.f32 u1 2))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3))) (pow.f32 u1 3))))))
(.f32 2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32))))
(+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32)))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32))))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 7) (.f32 (+.f32 (.f32 -1/240 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/720 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/5040 (pow.f32 (PI.f32) 7)) (.f32 -1/144 (pow.f32 (PI.f32) 7))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (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 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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 u2 (PI.f32)) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3))))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 (pow.f32 u2 7) (+.f32 (.f32 -1/240 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/720 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/5040 (pow.f32 (PI.f32) 7)) (.f32 -1/144 (pow.f32 (PI.f32) 7)))))) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (*.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))

Outputs
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (.f32 u2 (PI.f32))) u1)))
(fma.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 u2 (PI.f32))) u1)))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 u1 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (.f32 2 (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))))))
(+.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (/.f32 (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))) (+.f32 (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (*.f32 u2 (PI.f32))) u1))))
(fma.f32 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 u2 (PI.f32))) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 (PI.f32))))) (fma.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 u2 (PI.f32))))) (.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (.f32 u2 (PI.f32))) u1))))
(+.f32 (.f32 2 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (cos.f32 (.f32 u2 (PI.f32)))))) (.f32 (/.f32 (cos.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (sin.f32 (.f32 u2 (PI.f32))) u1) (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) 2)) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 (PI.f32))))))))
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(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (*.f32 2 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)))
(fma.f32 u2 (PI.f32) (.f32 (.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3)))
(fma.f32 u2 (PI.f32) (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 u2 (PI.f32)) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3))))
(fma.f32 (pow.f32 u2 5) (fma.f32 1/12 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 5) 1/20)) (fma.f32 u2 (PI.f32) (.f32 (*.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3))))
(fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 2/15) (fma.f32 u2 (PI.f32) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -2/3 (pow.f32 u2 3)))))
(+.f32 (.f32 (pow.f32 u2 5) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))) (+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 (pow.f32 u2 7) (+.f32 (.f32 -1/240 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/720 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/5040 (pow.f32 (PI.f32) 7)) (.f32 -1/144 (pow.f32 (PI.f32) 7)))))) (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (*.f32 -1/2 (pow.f32 (PI.f32) 3))) (pow.f32 u2 3)))))
(fma.f32 (pow.f32 u2 5) (fma.f32 1/12 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 5) 1/20)) (fma.f32 u2 (PI.f32) (fma.f32 (pow.f32 u2 7) (fma.f32 -1/240 (pow.f32 (PI.f32) 7) (fma.f32 -1/720 (pow.f32 (PI.f32) 7) (.f32 (pow.f32 (PI.f32) 7) -1/140))) (.f32 (.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3)))))
(fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 2/15) (fma.f32 u2 (PI.f32) (fma.f32 (.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3) (.f32 (pow.f32 u2 7) (fma.f32 -1/240 (pow.f32 (PI.f32) 7) (.f32 (pow.f32 (PI.f32) 7) -43/5040))))))
(fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 2/15) (fma.f32 u2 (PI.f32) (fma.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) -4/315) (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 u2 (PI.f32) (.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))
(fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (.f32 (pow.f32 (PI.f32) 3) (.f32 -1/6 (pow.f32 u2 3))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (.f32 (*.f32 1/120 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 5) (*.f32 (pow.f32 u2 5) 1/120))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 u2 5) 1/120)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))

prune192.0ms (3.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	3	14	17
Picked	1	0	1
Done	0	0	0
Total	125	19	144

Error

0.1b

Counts

144 → 19

Alt Table

Status	Error	Program
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 u2 5) 1/120))))) (cos.f32 (.f32 (PI.f32) u2)))))
	2.3b	(+.f32 (.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 u2 (.f32 (PI.f32) 2)))) (.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 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	7.7b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.1b	(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
	7.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	14.1b	(.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))))))
▶	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
	7.6b	(.f32 (.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sin.f32 (.f32 2 (.f32 (PI.f32) u2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
	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))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 (PI.f32) 2) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 4/15) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))))
	2.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))))
	15.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
	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))))

Compiler

Compiled 4362 to 2469 computations (43.4% saved)

localize56.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

series53.0ms (1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(log1p.f32 (sin.f32 (*.f32 (PI.f32) u2)))
21.0ms	u2	@	-inf	(log1p.f32 (sin.f32 (*.f32 (PI.f32) u2)))
1.0ms	u2	@	0	(log1p.f32 (sin.f32 (*.f32 (PI.f32) u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

364×	`prod-diff_binary32`
249×	`expm1-udef_binary32`
249×	`log1p-udef_binary32`
158×	`add-sqr-sqrt_binary32`
155×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	323	33
2	3889	33

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

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

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

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

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

396×	`times-frac_binary32`
338×	`distribute-rgt-in_binary32`
334×	`distribute-lft-in_binary32`
319×	`associate-/l*_binary32`
178×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1768
1	574	1623
2	2085	1461

Stop Event

1×	node limit

Counts

96 → 95

Calls

Call 1

Inputs
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (/.f32 (.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 2))) (+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) u1)) (+.f32 (.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/3 (.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (/.f32 1/2 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (pow.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))) 2)))))) (.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (pow.f32 u1 3))))))
(.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (pow.f32 u1 2))) (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.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 (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (pow.f32 u1 2))) (+.f32 (.f32 2 (.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (.f32 u2 (PI.f32)))))) (.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (+.f32 (.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (log.f32 (/.f32 -1 u1)))) 1/3))) (pow.f32 u1 3))))))
(.f32 2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32))))
(+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32)))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32))))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 7) (.f32 (+.f32 (.f32 -1/240 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/720 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/5040 (pow.f32 (PI.f32) 7)) (.f32 -1/144 (pow.f32 (PI.f32) 7))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (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 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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(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 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (.f32 -1 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (.f32 -1 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 -6 (pow.f32 (PI.f32) 4))))) (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))

Outputs
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(.f32 2 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(.f32 (.f32 (sin.f32 (.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (.f32 2 (cos.f32 (*.f32 u2 (PI.f32)))))
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(.f32 2 (fma.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))) (*.f32 u2 (PI.f32)))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32))))))
(fma.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 1/12 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 5) 1/20)))) (.f32 2 (+.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))))))))
(.f32 2 (+.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (pow.f32 (PI.f32) 5) 2/15) (pow.f32 u2 5)))))
(.f32 2 (+.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3))) (.f32 u2 (PI.f32)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (pow.f32 (PI.f32) 5) 2/15) (pow.f32 u2 5)))))
(+.f32 (.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (.f32 1/12 (pow.f32 (PI.f32) 5)) (+.f32 (.f32 1/120 (pow.f32 (PI.f32) 5)) (.f32 1/24 (pow.f32 (PI.f32) 5))))))) (+.f32 (.f32 2 (.f32 (+.f32 (.f32 -1/6 (pow.f32 (PI.f32) 3)) (.f32 -1/2 (pow.f32 (PI.f32) 3))) (.f32 (pow.f32 u2 3) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (+.f32 (.f32 2 (.f32 (pow.f32 u2 7) (.f32 (+.f32 (.f32 -1/240 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/720 (pow.f32 (PI.f32) 7)) (+.f32 (.f32 -1/5040 (pow.f32 (PI.f32) 7)) (.f32 -1/144 (pow.f32 (PI.f32) 7))))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))) (.f32 2 (.f32 u2 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (PI.f32)))))))
(fma.f32 2 (.f32 (pow.f32 u2 5) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 1/12 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 5) 1/20)))) (fma.f32 2 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) 3) -2/3) (pow.f32 u2 3)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (.f32 2 (+.f32 (.f32 (pow.f32 u2 7) (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (fma.f32 -1/240 (pow.f32 (PI.f32) 7) (fma.f32 -1/720 (pow.f32 (PI.f32) 7) (.f32 (pow.f32 (PI.f32) 7) -1/140))))) (.f32 u2 (.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))))))
(fma.f32 2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (pow.f32 (PI.f32) 5) 2/15) (pow.f32 u2 5))) (.f32 2 (+.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3)))) (fma.f32 (.f32 (pow.f32 u2 7) (fma.f32 -1/240 (pow.f32 (PI.f32) 7) (.f32 (pow.f32 (PI.f32) 7) -43/5040))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))))
(.f32 2 (+.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 u2 (PI.f32)) (.f32 (pow.f32 u2 7) (.f32 (pow.f32 (PI.f32) 7) -4/315)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (.f32 (.f32 (pow.f32 (PI.f32) 5) 2/15) (pow.f32 u2 5)) (.f32 (pow.f32 (PI.f32) 3) (.f32 -2/3 (pow.f32 u2 3)))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.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 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(.f32 2 (.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))))))
(.f32 (.f32 2 (sin.f32 (.f32 u2 (PI.f32)))) (.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))))
(.f32 2 (.f32 (.f32 (cos.f32 (.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 u2 (PI.f32))
(+.f32 (.f32 u2 (PI.f32)) (.f32 -1/6 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 u2 (PI.f32) (.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))
(fma.f32 u2 (PI.f32) (.f32 (pow.f32 (PI.f32) 3) (.f32 -1/6 (pow.f32 u2 3))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (.f32 1/120 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 u2 (PI.f32) (fma.f32 (.f32 (pow.f32 u2 5) 1/120) (pow.f32 (PI.f32) 5) (.f32 (pow.f32 (PI.f32) 3) (*.f32 -1/6 (pow.f32 u2 3)))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (.f32 (pow.f32 (PI.f32) 5) (*.f32 (pow.f32 u2 5) 1/120))))
(+.f32 (.f32 u2 (PI.f32)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (.f32 -1/5040 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 1/120 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
(fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 u2 5) 1/120)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(sin.f32 (*.f32 u2 (PI.f32)))
(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 u2 (PI.f32))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (*.f32 u2 (PI.f32)))
(.f32 (PI.f32) (+.f32 u2 (.f32 (.f32 -1/2 (.f32 u2 u2)) (PI.f32))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (.f32 -1 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(fma.f32 1/6 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 1)) (fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (*.f32 u2 (PI.f32))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/6 (fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (.f32 u2 (PI.f32))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/6 (.f32 (PI.f32) (+.f32 u2 (.f32 (.f32 -1/2 (*.f32 u2 u2)) (PI.f32)))))
(+.f32 (.f32 1/6 (.f32 (pow.f32 u2 3) (+.f32 (.f32 2 (pow.f32 (PI.f32) 3)) (.f32 -1 (pow.f32 (PI.f32) 3))))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/24 (.f32 (pow.f32 u2 4) (+.f32 (.f32 4 (pow.f32 (PI.f32) 4)) (.f32 -6 (pow.f32 (PI.f32) 4))))) (*.f32 u2 (PI.f32)))))
(fma.f32 1/6 (.f32 (pow.f32 u2 3) (.f32 (pow.f32 (PI.f32) 3) 1)) (fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (fma.f32 1/24 (.f32 (pow.f32 u2 4) (.f32 (pow.f32 (PI.f32) 4) -2)) (*.f32 u2 (PI.f32)))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/6 (fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (fma.f32 1/24 (.f32 (pow.f32 (PI.f32) 4) (.f32 -2 (pow.f32 u2 4))) (.f32 u2 (PI.f32)))))
(fma.f32 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) 1/6 (fma.f32 -1/2 (.f32 (pow.f32 (PI.f32) 2) (.f32 u2 u2)) (fma.f32 u2 (PI.f32) (.f32 (.f32 (pow.f32 (PI.f32) 4) -2) (.f32 1/24 (pow.f32 u2 4))))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (sin.f32 (*.f32 u2 (PI.f32)))))
(log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))

prune273.0ms (5.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	128	18	146

Error

0.1b

Counts

146 → 18

Alt Table

Status	Error	Program
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) 2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	1.5b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (fma.f32 u2 (PI.f32) (fma.f32 -1/6 (.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)) (fma.f32 -1/5040 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (.f32 (pow.f32 (PI.f32) 5) (.f32 (pow.f32 u2 5) 1/120))))) (cos.f32 (.f32 (PI.f32) u2)))))
	2.3b	(+.f32 (.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 u2 (.f32 (PI.f32) 2)))) (.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 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))))))
	7.7b	(.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.1b	(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
	7.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	14.1b	(.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))))))
✓	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
	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))
	2.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2)))) (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 u2 2))))))
	2.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 u2 (.f32 (PI.f32) 2) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 (pow.f32 u2 5) (.f32 (pow.f32 (PI.f32) 5) 4/15) (.f32 -8/315 (.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)))))))
	15.0b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
▶	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))))

Compiler

Compiled 4507 to 2482 computations (44.9% saved)

localize56.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (.f32 (PI.f32) u2)) 2)))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
	0.4b	(*.f32 (PI.f32) u2)
✓	0.5b	(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)

series11.0ms (0.2%)

Counts

3 → 24

Calls

12 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	308	32
2	3425	32

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary32`
545×	`associate-l_binary32`
445×	`associate-r_binary32`
251×	`times-frac_binary32`
226×	`*-commutative_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1252
1	367	1158
2	1195	1041

Stop Event

1×	node limit

Counts

92 → 101

Calls

Call 1

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

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

prune146.0ms (2.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	6	10	16
Picked	1	0	1
Done	1	0	1
Total	122	13	135

Error

0.1b

Counts

135 → 13

Alt Table

Status	Error	Program
	8.8b	(sqrt.f32 (.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))) 2)))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (.f32 (PI.f32) u2)))) 2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	2.3b	(+.f32 (.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 u2 (.f32 (PI.f32) 2)))) (.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 -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 (.f32 (.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32))))))
	8.2b	(.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (sin.f32 (.f32 2 (*.f32 (PI.f32) u2))))
	3.1b	(fma.f32 u2 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (PI.f32) 2)) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 -4/3 (.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (.f32 4/15 (.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
	7.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (.f32 (PI.f32) (*.f32 u2 2))))) 3)
	14.1b	(.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))))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u2)))))
	13.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (log.f32 (exp.f32 (sin.f32 (.f32 (PI.f32) u2)))) (cos.f32 (*.f32 (PI.f32) u2)))))
	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))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 2 (.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) u2))) 2)) (cos.f32 (*.f32 (PI.f32) u2)))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (.f32 2 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (.f32 (cbrt.f32 (PI.f32)) u2)))))

Compiler

Compiled 3045 to 1885 computations (38.1% saved)

regimes640.0ms (12.4%)

Accuracy

Total -21.4b remaining (-3868.3%)

Threshold costs -21.4b (-3868.3%)

Counts

91 → 1

Compiler

Compiled 1831 to 960 computations (47.6% saved)

simplify2.0ms (0%)

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	20	38
1	31	38
2	35	38
3	37	38

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end185.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 320 to 182 computations (43.1% saved)

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

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

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

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

Details

analyze451.0ms (8.7%)

sample2.4s (45.6%)

preprocess34.0ms (0.7%)

simplify12.0ms (0.2%)

prune5.0ms (0.1%)

localize37.0ms (0.7%)

series47.0ms (0.9%)

rewrite49.0ms (1%)

simplify50.0ms (1%)

prune173.0ms (3.3%)

localize48.0ms (0.9%)

series11.0ms (0.2%)

rewrite52.0ms (1%)

simplify45.0ms (0.9%)

prune192.0ms (3.7%)

localize56.0ms (1.1%)

series53.0ms (1%)

rewrite53.0ms (1%)

simplify49.0ms (1%)

prune273.0ms (5.3%)

localize56.0ms (1.1%)

series11.0ms (0.2%)

rewrite50.0ms (1%)

simplify36.0ms (0.7%)

prune146.0ms (2.8%)

regimes640.0ms (12.4%)

simplify2.0ms (0%)

end185.0ms (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