Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze179.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
50%	0%	0%	100%	0%	0%	0%	4
50%	0%	0%	100%	0%	0%	0%	5
75%	0%	0%	100%	0%	0%	0%	6
75%	0%	0%	100%	0%	0%	0%	7
75%	0%	0%	100%	0%	0%	0%	8
87.5%	0%	0%	100%	0%	0%	0%	9
87.5%	0%	0%	100%	0%	0%	0%	10
87.5%	0%	0%	100%	0%	0%	0%	11
93.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 28 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

Operation ival-mult, time spent: 10.0ms, 18.0% of total-time

Operation ival-cos, time spent: 10.0ms, 18.0% of total-time

Operation ival-<=, time spent: 10.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 13.0% of total-time

Operation ival-sub, time spent: 4.0ms, 7.0% of total-time

Operation ival->, time spent: 4.0ms, 7.0% of total-time

Operation ival-div, time spent: 3.0ms, 6.0% of total-time

Operation ival-and, time spent: 3.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

sample2.6s (23.1%)

Results

2.3s	8255×	256	valid
2.0ms	11×	256	precondition
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 922.0ms

Operation ival-sqrt, time spent: 180.0ms, 20.0% of total-time

Operation ival-cos, time spent: 158.0ms, 17.0% of total-time

Operation ival-<=, time spent: 156.0ms, 17.0% of total-time

Operation ival-mult, time spent: 132.0ms, 14.0% of total-time

Operation ival-div, time spent: 87.0ms, 9.0% of total-time

Operation ival-sub, time spent: 74.0ms, 8.0% of total-time

Operation ival-and, time spent: 49.0ms, 5.0% of total-time

Operation ival->, time spent: 48.0ms, 5.0% of total-time

Operation const, time spent: 38.0ms, 4.0% of total-time

Bogosity

preprocess444.0ms (4%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-define`
95×	`fma-neg`
65×	`sub-neg`
51×	`associate-l`
40×	`distribute-lft-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f32 1 u1)`
-	-	`(*.f32 314159265359/50000000000 u2)`
-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
-	-	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
-	-	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
-	-	`u1`
-	-	`314159265359/50000000000`
-	-	`(/.f32 u1 (-.f32 1 u1))`
-	-	`u2`
-	-	`1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	490
1	88	482
2	138	482
3	233	474
4	407	474
5	719	474
6	984	474
7	1187	474
8	1304	474
9	1338	474
10	1362	474

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 (neg.f32 u2))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 (neg.f32 u2)))))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 u1 1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (+.f32 (neg.f32 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 -1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 (neg.f32 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 1 (neg.f32 u1)))) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (neg.f32 (+.f32 u1 1)))) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 (neg.f32 u1) -1))) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 -1 u1)))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 (neg.f32 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 u1 314159265359/50000000000)))

Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 94 to 67 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

Operation ival-div, time spent: 23.0ms, 25.0% of total-time

Operation ival-sub, time spent: 17.0ms, 18.0% of total-time

Operation ival-cos, time spent: 17.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 18.0% of total-time

Operation ival-mult, time spent: 16.0ms, 17.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize289.0ms (2.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 40 to 28 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

Operation ival-mult, time spent: 163.0ms, 82.0% of total-time

Operation ival-sub, time spent: 13.0ms, 7.0% of total-time

Operation ival-cos, time spent: 8.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 4.0% of total-time

Operation ival-div, time spent: 6.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

series19.0ms (0.2%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite239.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`log1p-expm1-u`
871×	`expm1-log1p-u`
469×	`log-prod`
271×	`prod-diff`
166×	`pow-to-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	189	94
2	2352	94

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs
(+.f32 0 (*.f32 314159265359/50000000000 u2))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2))) 2))
(+.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (log.f32 (.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))
(+.f32 0 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (/.f32 u1 (-.f32 1 u1)) (log.f32 (exp.f32 1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (fma.f32 u1 (+.f32 u1 1) 1))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 2))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
(pow.f32 (/.f32 (/.f32 (-.f32 1 u1) u1) 1) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))
(exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 1 u1) u1)) -1))
(+.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -1)
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(exp.f32 (.f32 (.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))

eval70.0ms (0.6%)

Compiler: Compiled 3105 to 2437 computations (21.5% saved)

prune52.0ms (0.5%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	150	24	174
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	25	175

Accuracy

99.9%

Counts

175 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
▶	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	80.0%	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
▶	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.0%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	98.9%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.6%	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	77.2%	(.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	97.0%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	95.5%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.9%	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	93.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	95.1%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.9%	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	79.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	95.2%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	98.8%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	92.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 812 to 661 computations (18.6% saved)

localize668.0ms (6%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	97.8%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
✓	99.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	99.0%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
✓	95.5%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
✓	99.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.5%	(sqrt.f32 (-.f32 1 u1))
✓	99.1%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.7%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.5%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 212 to 148 computations (30.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

Operation ival-pow, time spent: 55.0ms, 21.0% of total-time

Operation ival-cos, time spent: 51.0ms, 20.0% of total-time

Operation ival-sub, time spent: 38.0ms, 15.0% of total-time

Operation ival-mult, time spent: 38.0ms, 15.0% of total-time

Operation ival-div, time spent: 33.0ms, 13.0% of total-time

Operation ival-sqrt, time spent: 29.0ms, 11.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Operation ival-cbrt, time spent: 4.0ms, 2.0% of total-time

series86.0ms (0.8%)

Counts

18 → 216

Calls

72 calls:

Time	Variable		Point	Expression
18.0ms	u1	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	u1	@	inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	u1	@	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(/.f32 u1 (-.f32 1 u1))

rewrite241.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`log1p-expm1-u`
917×	`expm1-log1p-u`
337×	`prod-diff`
137×	`pow1`
132×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	442
1	369	442
2	4247	442

Stop Event

1×	node limit

Counts

18 → 602

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(*.f32 314159265359/50000000000 u2)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
(*.f32 314159265359/50000000000 u2)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(/.f32 1 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) 1))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 -1 (neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)) (pow.f32 (-.f32 1 u1) 1/4))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 3/2)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) -1)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
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(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)) (pow.f32 (-.f32 1 u1) 1/4))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 1)
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))))
(/.f32 1 (/.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) 1))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 -1 (neg.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) 1/4)) (pow.f32 (-.f32 1 u1) 1/4))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)
(pow.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) 3/2)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) -1)
(pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 3) (pow.f32 (-.f32 1 u1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 2))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))

eval812.0ms (7.3%)

Compiler: Compiled 27362 to 21355 computations (22% saved)

prune195.0ms (1.8%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	1509	26	1535
Fresh	3	16	19
Picked	4	1	5
Done	0	1	1
Total	1516	44	1560

Accuracy

99.9%

Counts

1560 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.6%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
	78.9%	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	79.6%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
	95.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	94.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
▶	92.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
	88.0%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	79.3%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	79.2%	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	79.3%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.0%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	89.8%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	71.8%	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	97.9%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.4%	(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
	98.2%	(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
	98.6%	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	77.2%	(.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	97.0%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	95.5%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	93.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	79.2%	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
	79.3%	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	95.1%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (cbrt.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
▶	79.6%	(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
✓	79.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	95.2%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	79.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	75.5%	(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
	74.1%	(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
	71.0%	(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
▶	62.7%	(sqrt.f32 u1)
	98.8%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	92.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	79.5%	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))

Compiler

Compiled 1381 to 1120 computations (18.9% saved)

localize738.0ms (6.6%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.5%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	98.6%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
✓	99.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.2%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
✓	99.1%	(.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	99.7%	(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
✓	99.6%	(/.f32 (-.f32 1 u1) u1)
✓	99.2%	(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
✓	99.6%	(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
✓	99.5%	(/.f32 u1 (-.f32 1 u1))
✓	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
✓	98.8%	(*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)

Compiler

Compiled 209 to 148 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

Operation ival-div, time spent: 137.0ms, 42.0% of total-time

Operation ival-mult, time spent: 51.0ms, 16.0% of total-time

Operation ival-pow, time spent: 39.0ms, 12.0% of total-time

Operation ival-cos, time spent: 35.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 30.0ms, 9.0% of total-time

Operation ival-sub, time spent: 26.0ms, 8.0% of total-time

Operation const, time spent: 9.0ms, 3.0% of total-time

Operation ival-add, time spent: 3.0ms, 1.0% of total-time

series96.0ms (0.9%)

Counts

15 → 197

Calls

60 calls:

Time	Variable		Point	Expression
39.0ms	u2	@	inf	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	u1	@	-inf	(.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))
3.0ms	u2	@	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
2.0ms	u1	@	0	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	0	(/.f32 (-.f32 1 u1) u1)

rewrite270.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff`
235×	`log1p-expm1-u`
235×	`expm1-log1p-u`
234×	`pow1`
231×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	430
1	582	367
2	7239	367

Stop Event

1×	node limit

Counts

15 → 445

Calls

Call 1

Inputs
(*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
(/.f32 (-.f32 1 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(*.f32 314159265359/50000000000 u2)
(.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(*.f32 314159265359/50000000000 u2)
(/.f32 u1 (-.f32 1 u1))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))) 1)
(pow.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000) 1)
(pow.f32 (*.f32 u2 314159265359/50000000000) 2)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) 3)
(pow.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000) 1/2)
(pow.f32 (pow.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (pow.f32 u2 2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(cbrt.f32 (pow.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)))
(exp.f32 (log.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (/.f32 1 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) -1) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (neg.f32 (-.f32 1 u1))) (neg.f32 u1))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 2))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 2)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) -1/2)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(*.f32 u2 314159265359/50000000000)
(*.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))
(.f32 1 (.f32 u2 314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) 1)
(*.f32 314159265359/50000000000 u2)
(.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)))
(.f32 (pow.f32 (cbrt.f32 u2) 2) (.f32 (cbrt.f32 u2) 314159265359/50000000000))
(.f32 (cbrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 u2) (.f32 (sqrt.f32 u2) 314159265359/50000000000))
(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
(.f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))
(.f32 (pow.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)) 1/2) (pow.f32 (cbrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) 1/2))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(.f32 (.f32 314159265359/50000000000 (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(.f32 (.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))
(pow.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000) 1/2)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (/.f32 1 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) -1) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (neg.f32 (-.f32 1 u1))) (neg.f32 u1))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 2))) (+.f32 u1 1))
(/.f32 u1 (-.f32 1 u1))
(/.f32 1 (+.f32 (/.f32 1 u1) -1))
(/.f32 1 (/.f32 (+.f32 (/.f32 1 u1) -1) 1))
(/.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 u1)))
(/.f32 (/.f32 1 (-.f32 1 u1)) (/.f32 1 u1))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 1 u1))))
(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 u1 1) (-.f32 1 u1))
(/.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
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(.f32 (/.f32 (cbrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))) (/.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))))
(.f32 (/.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) 1) (/.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))
(.f32 (/.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (pow.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1) 2))) (/.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (+.f32 1 (pow.f32 (.f32 u1 (fma.f32 u1 -1/8 -1/2)) 3))) (-.f32 (+.f32 1 (pow.f32 (.f32 u1 (fma.f32 u1 -1/8 -1/2)) 2)) (.f32 u1 (fma.f32 u1 -1/8 -1/2))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (-.f32 1 (pow.f32 (.f32 u1 (fma.f32 u1 -1/8 -1/2)) 2))) (-.f32 1 (*.f32 u1 (fma.f32 u1 -1/8 -1/2))))
(pow.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))) 2)
(pow.f32 (/.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1) (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))) -1)
(neg.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))))
(neg.f32 (/.f32 (.f32 (sqrt.f32 u1) (neg.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))
(sqrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))) 2))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1))) 3))
(cbrt.f32 (/.f32 (pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) (pow.f32 (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (fma.f32 u1 (fma.f32 u1 -1/8 -1/2) 1)))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(sqrt.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(cbrt.f32 (.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3)))
(cbrt.f32 (.f32 (pow.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3)))
(cbrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000) 1/2)
(pow.f32 (*.f32 u2 314159265359/50000000000) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(fabs.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))
(log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000)) 1/2))
(exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))
(-.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
(*.f32 1 (/.f32 u1 (-.f32 1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 u1) 2) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))
(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))
(*.f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (-.f32 1 u1)) u1)
(*.f32 (/.f32 1 (-.f32 1 u1)) (pow.f32 (/.f32 1 u1) -1))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) -1) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 1 (neg.f32 (-.f32 1 u1))) (neg.f32 u1))
(.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 2))) (+.f32 u1 1))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 2)
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1)
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2) 1/2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) -1/2)
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 1 u1)))
(sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -2))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)))) 1)
(pow.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 1)
(pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))) 3)
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3) 1/3)
(pow.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/8)) 2)
(sqrt.f32 (.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) (cos.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)))))
(cbrt.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 3))
(cbrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3)))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 3) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 3)))
(expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))
(log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))
(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))
(exp.f32 (.f32 (log.f32 (.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))) 1))

eval709.0ms (6.4%)

Compiler: Compiled 18985 to 14975 computations (21.1% saved)

prune203.0ms (1.8%)

Pruning

50 alts after pruning (44 fresh and 6 done)

	Pruned	Kept	Total
New	901	13	914
Fresh	6	31	37
Picked	1	4	5
Done	0	2	2
Total	908	50	958

Accuracy

99.9%

Counts

958 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.5%	(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
	79.6%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
	79.6%	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	95.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	94.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
✓	92.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
▶	88.0%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	75.2%	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
▶	79.3%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	79.2%	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	79.3%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	79.3%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.0%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	89.8%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	71.8%	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	56.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	75.6%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.4%	(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
	98.6%	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	97.0%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	95.5%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	93.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	79.2%	(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
	92.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2)))))
	79.3%	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
▶	95.1%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (cbrt.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
✓	79.6%	(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
	62.7%	(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
✓	79.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	95.2%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
	79.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	74.1%	(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
▶	71.0%	(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
✓	62.7%	(sqrt.f32 u1)
▶	98.8%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	77.8%	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
	92.0%	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	79.5%	(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))

Compiler

Compiled 1478 to 1209 computations (18.2% saved)

localize828.0ms (7.4%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	99.0%	(*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))
✓	98.7%	(.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)
✓	96.4%	(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
✓	99.7%	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	99.5%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.1%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
✓	99.1%	(*.f32 314159265359/50000000000 u2)
✓	99.5%	(sqrt.f32 (-.f32 1 u1))
✓	99.2%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
✓	99.7%	(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
✓	99.1%	(*.f32 u1 (+.f32 1 u1))
✓	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	99.2%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	99.1%	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
✓	99.1%	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 213 to 149 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

Operation ival-sub, time spent: 175.0ms, 40.0% of total-time

Operation ival-mult, time spent: 58.0ms, 13.0% of total-time

Operation ival-log, time spent: 46.0ms, 11.0% of total-time

Operation ival-cos, time spent: 41.0ms, 9.0% of total-time

Operation ival-div, time spent: 36.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 28.0ms, 6.0% of total-time

Operation composed, time spent: 24.0ms, 5.0% of total-time

Operation ival-exp, time spent: 13.0ms, 3.0% of total-time

Operation ival-add, time spent: 9.0ms, 2.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

series125.0ms (1.1%)

Counts

16 → 181

Calls

63 calls:

Time	Variable		Point	Expression
22.0ms	u2	@	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
21.0ms	u2	@	inf	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
20.0ms	u2	@	-inf	(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
6.0ms	u1	@	0	(*.f32 u1 (+.f32 1 u1))
3.0ms	u1	@	-inf	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))

rewrite265.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

999×	`log1p-expm1-u`
216×	`expm1-log1p-u`
214×	`add-exp-log`
214×	`pow1`
213×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	415
1	518	396
2	6581	396

Stop Event

1×	node limit

Counts

16 → 414

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 u1 (+.f32 1 u1))
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (-.f32 1 u1))
(*.f32 314159265359/50000000000 u2)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))
(.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)
(*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)

Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) 1)
(.f32 1 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(.f32 (cbrt.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)) (cbrt.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(.f32 (sqrt.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) (sqrt.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(pow.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2))
(log.f32 (+.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1))
(+.f32 (+.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) -1)
(-.f32 (+.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 1 u1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (pow.f32 (-.f32 1 u1) -1/2))
(.f32 (cbrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))) (cbrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(.f32 (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (-.f32 (pow.f32 (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3) 1) (+.f32 (.f32 (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) (+.f32 1 (.f32 (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))))
(/.f32 (-.f32 (.f32 (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1) (+.f32 (+.f32 1 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
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(exp.f32 (log.f32 (*.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))))
(exp.f32 (.f32 (log.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))

eval344.0ms (3.1%)

Compiler: Compiled 13202 to 10308 computations (21.9% saved)

prune175.0ms (1.6%)

Pruning

60 alts after pruning (49 fresh and 11 done)

	Pruned	Kept	Total
New	700	17	717
Fresh	7	32	39
Picked	0	5	5
Done	0	6	6
Total	707	60	767

Accuracy

100.0%

Counts

767 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.5%	(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
	79.6%	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
	79.6%	(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
	95.9%	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	71.0%	(hypot.f32 (sqrt.f32 u1) u1)
	87.2%	(/.f32 (.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (+.f32 1 (*.f32 -1/2 u1)))
✓	92.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
✓	88.0%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	76.4%	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
	75.2%	(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
	72.3%	(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
✓	79.3%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	98.7%	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	79.2%	(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	79.3%	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	79.3%	(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	80.0%	(-.f32 (+.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
	95.5%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	98.0%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	89.8%	(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	71.8%	(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	56.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	75.6%	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	98.4%	(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
	79.2%	(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
	98.6%	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	97.0%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	95.5%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	70.9%	(*.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	93.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	86.1%	(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	92.3%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2)))))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	73.6%	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
	84.5%	(.f32 (exp.f32 (+.f32 (.f32 1/2 u1) (.f32 1/2 (log.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	95.1%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
✓	95.1%	(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	72.3%	(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	82.9%	(.f32 (exp.f32 (log1p.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	98.2%	(.f32 (cbrt.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
	5.2%	(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
	20.2%	(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
✓	79.6%	(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
	62.7%	(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
✓	79.6%	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	40.2%	(sqrt.f32 (-.f32 (+.f32 1 (fma.f32 u1 u1 u1)) 1))
	95.2%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
	79.5%	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	74.1%	(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
✓	71.0%	(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
✓	62.7%	(sqrt.f32 u1)
✓	98.8%	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	77.8%	(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
	92.0%	(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
	19.3%	u1

Compiler

Compiled 1920 to 1502 computations (21.8% saved)

regimes417.0ms (3.7%)

Counts

81 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (-.f32 (+.f32 1 (fma.f32 u1 u1 u1)) 1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(-.f32 (+.f32 1 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1)
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2)))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1))))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(.f32 (exp.f32 (.f32 1/2 (log.f32 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (-.f32 1 u1) -1/2) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (+.f32 (.f32 1/2 u1) (.f32 1/2 (log.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 u1 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (pow.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))) 3/2) 1/3) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (exp.f32 (log1p.f32 (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (sqrt.f32 (*.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (cos.f32 (sqrt.f32 (.f32 (pow.f32 u2 2) 98696044010906577398881/2500000000000000000000))))
(.f32 (exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3)) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 1/4) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cbrt.f32 (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))

Outputs
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

136.0ms	u2
43.0ms	(/.f32 u1 (-.f32 1 u1))
43.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
42.0ms	(*.f32 314159265359/50000000000 u2)
41.0ms	u1

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
98.9%	1	`(/.f32 u1 (-.f32 1 u1))`
98.9%	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
98.9%	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes152.0ms (1.4%)

Counts

35 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (-.f32 (+.f32 1 (fma.f32 u1 u1 u1)) 1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

20.0ms	(/.f32 u1 (-.f32 1 u1))
20.0ms	(*.f32 314159265359/50000000000 u2)
20.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
19.0ms	cosTheta_i
19.0ms	u2

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
98.9%	1	`(/.f32 u1 (-.f32 1 u1))`
98.9%	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
98.9%	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes232.0ms (2.1%)

Counts

33 → 2

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (-.f32 (+.f32 1 (fma.f32 u1 u1 u1)) 1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (.f32 u1 (+.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)

Calls

7 calls:

47.0ms	(*.f32 314159265359/50000000000 u2)
35.0ms	(/.f32 u1 (-.f32 1 u1))
35.0ms	u2
35.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
34.0ms	u1

Results

Accuracy	Segments	Branch
86.1%	1	`cosTheta_i`
92.7%	2	`u1`
94.3%	2	`u2`
92.7%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
92.7%	2	`(/.f32 u1 (-.f32 1 u1))`
94.3%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
94.3%	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes197.0ms (1.8%)

Counts

32 → 2

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 (+.f32 u1 1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1))
(*.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))
(*.f32 (pow.f32 (-.f32 1 u1) -1/2) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(sqrt.f32 (-.f32 (+.f32 1 (fma.f32 u1 u1 u1)) 1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)

Outputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

6 calls:

35.0ms	(*.f32 314159265359/50000000000 u2)
34.0ms	u2
34.0ms	u1
34.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
34.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Accuracy	Segments	Branch
87.1%	2	`u1`
87.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
87.1%	2	`(/.f32 u1 (-.f32 1 u1))`
89.7%	2	`u2`
89.7%	2	`(*.f32 314159265359/50000000000 u2)`
89.7%	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes59.0ms (0.5%)

Counts

18 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 u1) (+.f32 1 (*.f32 -1/2 u1)))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 -1/8 u1) 1/2))))
(sqrt.f32 (.f32 u1 (+.f32 1 (.f32 u1 (+.f32 1 (*.f32 u1 (+.f32 1 u1)))))))
(.f32 u1 (-.f32 (+.f32 1 (.f32 1/2 (/.f32 1 u1))) (/.f32 1/8 (pow.f32 u1 2))))
(/.f32 (sqrt.f32 u1) (+.f32 1 (.f32 u1 (-.f32 (.f32 u1 (-.f32 (*.f32 -1/16 u1) 1/8)) 1/2))))
(hypot.f32 (sqrt.f32 u1) u1)
(sqrt.f32 (pow.f32 (/.f32 1 u1) -1))

Outputs
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)

Calls

5 calls:

12.0ms	(/.f32 u1 (-.f32 1 u1))
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
11.0ms	u1
11.0ms	u2
11.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
79.6%	1	`u1`
79.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
79.6%	1	`(/.f32 u1 (-.f32 1 u1))`
79.6%	1	`cosTheta_i`
79.6%	1	`u2`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes29.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Calls

5 calls:

7.0ms	cosTheta_i
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
5.0ms	u1
5.0ms	u2

Results

Accuracy	Segments	Branch
79.6%	1	`u2`
79.6%	1	`cosTheta_i`
79.6%	1	`u1`
79.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
79.6%	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes14.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))

Outputs
(sqrt.f32 (*.f32 u1 (+.f32 1 u1)))

Calls

3 calls:

6.0ms	u1
4.0ms	u2
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
71.0%	1	`u2`
71.0%	1	`cosTheta_i`
71.0%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))
(sqrt.f32 u1)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

5.0ms	u1
5.0ms	cosTheta_i
4.0ms	u2

Results

Accuracy	Segments	Branch
62.7%	1	`cosTheta_i`
62.7%	1	`u2`
62.7%	1	`u1`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
u1
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))

Outputs
(.f32 u1 (+.f32 1 (.f32 1/2 (/.f32 1 u1))))

Calls

3 calls:

5.0ms	u1
3.0ms	cosTheta_i
3.0ms	u2

Results

Accuracy	Segments	Branch
20.2%	1	`u1`
20.2%	1	`u2`
20.2%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
u1

Outputs
u1

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
19.3%	1	`u2`
19.3%	1	`u1`
19.3%	1	`cosTheta_i`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.9999966621398926	0.9999967217445374

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	fuel
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.005973647814244032	0.007007075473666191

Compiler

Compiled 149 to 118 computations (20.8% saved)

soundness279.0ms (2.5%)

Rules

917×	`log1p-expm1-u`
917×	`expm1-log1p-u`
871×	`log1p-expm1-u`
871×	`expm1-log1p-u`
469×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	94
1	189	94
2	2352	94
0	31	442
1	369	442
2	4247	442

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 42 to 32 computations (23.8% saved)

end0.0ms (0%)

preprocess103.0ms (0.9%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 652 to 506 computations (22.4% saved)

analyze179.0ms (1.6%)

sample2.6s (23.1%)

preprocess444.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize289.0ms (2.6%)

series19.0ms (0.2%)

rewrite239.0ms (2.1%)

eval70.0ms (0.6%)

prune52.0ms (0.5%)

localize668.0ms (6%)

series86.0ms (0.8%)

rewrite241.0ms (2.2%)

eval812.0ms (7.3%)

prune195.0ms (1.8%)

localize738.0ms (6.6%)

series96.0ms (0.9%)

rewrite270.0ms (2.4%)

eval709.0ms (6.4%)

prune203.0ms (1.8%)

localize828.0ms (7.4%)

series125.0ms (1.1%)

rewrite265.0ms (2.4%)

eval344.0ms (3.1%)

prune175.0ms (1.6%)

regimes417.0ms (3.7%)

regimes152.0ms (1.4%)

regimes232.0ms (2.1%)

regimes197.0ms (1.8%)

regimes59.0ms (0.5%)

regimes29.0ms (0.3%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch5.0ms (0%)

soundness279.0ms (2.5%)

end0.0ms (0%)

preprocess103.0ms (0.9%)

Profiling