Details

analyze691.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.1%	99.9%	0
0%	0.1%	99.9%	1
0%	0.1%	99.9%	2
0%	0.1%	99.9%	3
0%	0%	99.9%	4
0%	0%	99.9%	5
0%	0%	99.9%	6
0.1%	0%	99.9%	7
0.1%	0%	99.9%	8
0.1%	0%	99.9%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 41 to 30 computations (26.8% saved)

sample59.0ms (0.3%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 72 to 53 computations (26.4% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-+l-_binary32`
416×	`associate-+r-_binary32`
386×	`associate--l-_binary32`
320×	`neg-mul-1_binary32`
316×	`distribute-rgt-in_binary32`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	39
1	41	39
2	113	39
3	402	39
4	1502	36
5	4687	36
6	4944	36
7	5024	36

prune14.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 2

Alt Table

Status	Error	Program
	12.9b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (-.f32 1 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))))))
▶	0.3b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))

Status

Error

Program

12.9b

(*.f32 (cos.f32 (*.f32 (*.f32 uy 2) PI.f32)) (sqrt.f32 (-.f32 1 (*.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (*.f32 ux maxCos))))))

▶

0.3b

(*.f32 (cos.f32 (*.f32 (*.f32 uy 2) PI.f32)) (sqrt.f32 (*.f32 (-.f32 ux (*.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))))

Compiler

Compiled 134 to 94 computations (29.9% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))
0.2b	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
0.3b	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
0.3b	(.f32 (.f32 uy 2) PI.f32)

rewrite275.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary32` `add-exp-log_binary32` `add-log-exp_binary32` `add-cbrt-cube_binary32` `add-sqr-sqrt_binary32` `*-un-lft-identity_binary32`
12×	`associate-*r/_binary32`
11×	`associate-r_binary32`
9×	`add-cube-cbrt_binary32`
8×	`frac-times_binary32` `sqrt-div_binary32`

Counts

4 → 90

Calls

4 calls:

17.0ms	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))
14.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
9.0ms	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
6.0ms	(.f32 (.f32 uy 2) PI.f32)

Compiler

Compiled 3166 to 1687 computations (46.7% saved)

series315.0ms (1.7%)

Error

0.2b

Counts

4 → 41

Calls

4 calls:

131.0ms	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))
55.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
38.0ms	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
21.0ms	(.f32 (.f32 uy 2) PI.f32)

Compiler

Compiled 3498 to 2438 computations (30.3% saved)

simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

523×	`cancel-sign-sub-inv_binary32`
427×	`associate-r_binary32`
390×	`associate-l_binary32`
249×	`*-commutative_binary32`
178×	`distribute-rgt-in_binary32`

Counts

131 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	4439
1	883	3905
2	3468	3896
3	4786	3887
4	4991	3887
5	4961	3887

prune250.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	10	109
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Error

0.0b

Counts

111 → 10

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))
	1.1b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (exp.f32 (log.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.5b	(.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (-.f32 ux (.f32 ux maxCos)))) (sqrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.4b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (/.f32 (.f32 (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3)) (.f32 ux (-.f32 ux (.f32 maxCos (.f32 ux maxCos))))) (.f32 (+.f32 (-.f32 ux (.f32 ux maxCos)) (.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) (+.f32 (.f32 ux maxCos) (-.f32 1 ux)))) (+.f32 ux (.f32 ux maxCos))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (cbrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))) (cbrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))) (cbrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (.f32 (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))) (cbrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3)) (.f32 ux (-.f32 ux (.f32 maxCos (.f32 ux maxCos))))))) (sqrt.f32 (.f32 (+.f32 ux (.f32 ux maxCos)) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	2.1b	(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (*.f32 ux maxCos))))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))

Compiler

Compiled 4127 to 2148 computations (48% saved)

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
0.3b	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
0.3b	(.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))
0.5b	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))

rewrite313.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`pow1_binary32` `add-exp-log_binary32`
23×	`add-cbrt-cube_binary32`
22×	`pow-prod-down_binary32` `prod-exp_binary32` `cbrt-unprod_binary32`
13×	`add-log-exp_binary32`
12×	`*-un-lft-identity_binary32`

Counts

4 → 97

Calls

4 calls:

14.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
13.0ms	(.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))
13.0ms	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
10.0ms	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))

Compiler

Compiled 3481 to 1599 computations (54.1% saved)

series177.0ms (0.9%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

54.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
39.0ms	(+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1)
31.0ms	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))
14.0ms	(.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))

Compiler

Compiled 2041 to 1329 computations (34.9% saved)

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

349×	`associate-l_binary32`
319×	`associate-+l+_binary32`
277×	`associate-+r+_binary32`
274×	`associate-r_binary32`
249×	`+-commutative_binary32`

Counts

126 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2666
1	547	2201
2	2298	2050
3	4389	2050
4	4981	2050
5	4949	2050

prune206.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Error

0.0b

Counts

114 → 11

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (cos.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))))
	0.4b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (/.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3))) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	1.1b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (exp.f32 (log.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))))))
	0.5b	(.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (-.f32 ux (.f32 ux maxCos)))) (sqrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos))))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (.f32 (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))) (cbrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3)) (.f32 ux (-.f32 ux (.f32 maxCos (.f32 ux maxCos))))))) (sqrt.f32 (.f32 (+.f32 ux (.f32 ux maxCos)) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	2.1b	(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (*.f32 ux maxCos))))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))

Compiler

Compiled 3126 to 1589 computations (49.2% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
0.3b	(.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (*.f32 2 uy) 3))) (cbrt.f32 PI.f32))
0.4b	(.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))
1.0b	(pow.f32 PI.f32 2)

rewrite449.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-exp-log_binary32`
28×	`add-sqr-sqrt_binary32`
18×	`associate-r_binary32`
17×	`prod-exp_binary32`
16×	`*-un-lft-identity_binary32`

Counts

4 → 116

Calls

4 calls:

18.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
8.0ms	(.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))
7.0ms	(.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (*.f32 2 uy) 3))) (cbrt.f32 PI.f32))
2.0ms	(pow.f32 PI.f32 2)

Compiler

Compiled 4232 to 2534 computations (40.1% saved)

series131.0ms (0.7%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

60.0ms	(.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
19.0ms	(.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))
16.0ms	(.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (*.f32 2 uy) 3))) (cbrt.f32 PI.f32))
0.0ms	(pow.f32 PI.f32 2)

Compiler

Compiled 1387 to 1050 computations (24.3% saved)

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

288×	`associate-+l+_binary32`
285×	`associate-l_binary32`
267×	`associate-r_binary32`
256×	`associate-+r+_binary32`
254×	`log-prod_binary32`

Counts

133 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3033
1	567	2628
2	2292	2489
3	4869	2489
4	5010	2489

prune305.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	111	11	122

Error

0.0b

Counts

122 → 11

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (cos.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))))
▶	0.4b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (/.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3))) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	1.1b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (exp.f32 (log.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))))))
	0.5b	(.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (-.f32 ux (.f32 ux maxCos)))) (sqrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos))))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (.f32 (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))) (cbrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3)) (.f32 ux (-.f32 ux (.f32 maxCos (.f32 ux maxCos))))))) (sqrt.f32 (.f32 (+.f32 ux (.f32 ux maxCos)) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	2.1b	(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (*.f32 ux maxCos))))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))

Compiler

Compiled 3827 to 2245 computations (41.3% saved)

localize105.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)))
0.5b	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))
0.6b	(pow.f32 (+.f32 (*.f32 ux maxCos) (-.f32 1 ux)) 3)
13.5b	(-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))

rewrite492.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`pow1_binary32`
19×	`add-exp-log_binary32`
15×	`add-cbrt-cube_binary32`
13×	`add-sqr-sqrt_binary32`
11×	`add-cube-cbrt_binary32` `*-un-lft-identity_binary32`

Counts

4 → 95

Calls

4 calls:

15.0ms	(.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)))
10.0ms	(-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
9.0ms	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))
8.0ms	(pow.f32 (+.f32 (*.f32 ux maxCos) (-.f32 1 ux)) 3)

Compiler

Compiled 6110 to 3332 computations (45.5% saved)

series407.0ms (2.1%)

Error

0.0b

Counts

4 → 40

Calls

4 calls:

97.0ms	(pow.f32 (+.f32 (*.f32 ux maxCos) (-.f32 1 ux)) 3)
93.0ms	(.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)))
53.0ms	(-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))
36.0ms	(.f32 (.f32 2 uy) (*.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32)))

Compiler

Compiled 6368 to 4100 computations (35.6% saved)

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

661×	`cancel-sign-sub-inv_binary32`
372×	`associate-l_binary32`
359×	`exp-prod_binary32`
342×	`associate-r_binary32`
253×	`sub-neg_binary32`

Counts

135 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3279
1	807	2696
2	3322	2606
3	4709	2606
4	4975	2606

prune338.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	115	11	126

Error

0.0b

Counts

126 → 11

Alt Table

Status	Error	Program
	0.3b	(.f32 (cos.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 PI.f32 2) (pow.f32 (.f32 2 uy) 3))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 (+.f32 (-.f32 1 ux) (*.f32 ux maxCos)) 1))))
	0.4b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (/.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3))) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	1.1b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (exp.f32 (log.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)))))))
	0.5b	(.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (-.f32 ux (.f32 ux maxCos)))) (sqrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))
	0.5b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 (.f32 2 uy) (.f32 (cbrt.f32 PI.f32) (cbrt.f32 PI.f32))) (cbrt.f32 PI.f32))) (sqrt.f32 (.f32 (.f32 (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos))))) (cbrt.f32 (.f32 (+.f32 (.f32 ux maxCos) (-.f32 2 ux)) (-.f32 ux (.f32 ux maxCos)))))))
	0.6b	(.f32 (cos.f32 (.f32 (.f32 uy 2) PI.f32)) (sqrt.f32 (.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (.f32 (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))) (cbrt.f32 (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))) (cbrt.f32 (+.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1)))))
	0.5b	(/.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (+.f32 1 (pow.f32 (+.f32 (.f32 ux maxCos) (-.f32 1 ux)) 3)) (.f32 ux (-.f32 ux (.f32 maxCos (.f32 ux maxCos))))))) (sqrt.f32 (.f32 (+.f32 ux (.f32 ux maxCos)) (+.f32 (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) (+.f32 (-.f32 1 ux) (.f32 ux maxCos))) (-.f32 (.f32 1 1) (.f32 (+.f32 (-.f32 1 ux) (.f32 ux maxCos)) 1))))))
	2.1b	(.f32 (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (.f32 (sqrt.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32)))) (sqrt.f32 (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (*.f32 ux maxCos))))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos)))))))) (cbrt.f32 (.f32 (cos.f32 (.f32 2 (.f32 uy PI.f32))) (sqrt.f32 (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 2 (-.f32 ux (.f32 ux maxCos))))))))

Compiler

Compiled 5072 to 2878 computations (43.3% saved)

regimes11.3s (59.1%)

Accuracy

Total 0.2b remaining (73.7%)

Threshold costs 0.2b (73.7%)

Compiler

Compiled 161383 to 104097 computations (35.5% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary32`
13×	`+-commutative_binary32`
10×	`sub-neg_binary32`
9×	`neg-mul-1_binary32` `neg-sub0_binary32`
6×	`distribute-rgt-neg-in_binary32` `distribute-lft-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	71
1	44	71
2	53	71
3	70	71
4	90	71
5	106	71
6	115	71
7	120	71
8	122	71
9	121	71

end3.0ms (0%)

Compiler: Compiled 48 to 38 computations (20.8% saved)

sample2.4s (12.6%)

Algorithm

1×

intervals

Results

741.0ms	8000×	body	128	valid
254.0ms	8000×	pre	128	true

Compiler

Compiled 632 to 388 computations (38.6% saved)

Details

analyze691.0ms (3.6%)

sample59.0ms (0.3%)

simplify69.0ms (0.4%)

prune14.0ms (0.1%)

localize57.0ms (0.3%)

rewrite275.0ms (1.4%)

series315.0ms (1.7%)

simplify178.0ms (0.9%)

prune250.0ms (1.3%)

localize68.0ms (0.4%)

rewrite313.0ms (1.6%)

series177.0ms (0.9%)

simplify134.0ms (0.7%)

prune206.0ms (1.1%)

localize74.0ms (0.4%)

rewrite449.0ms (2.4%)

series131.0ms (0.7%)

simplify122.0ms (0.6%)

prune305.0ms (1.6%)

localize105.0ms (0.6%)

rewrite492.0ms (2.6%)

series407.0ms (2.1%)

simplify128.0ms (0.7%)

prune338.0ms (1.8%)

regimes11.3s (59.1%)

simplify7.0ms (0%)

end3.0ms (0%)

sample2.4s (12.6%)

Profiling