Details

analyze373.0ms (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.9s (19.3%)

Results

1.9s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

prune5.0ms (0%)

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

series40.0ms (0.4%)

Counts

4 → 32

Calls

4 calls:

27.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary32`
50×	`sqrt-prod_binary32`
46×	`*-un-lft-identity_binary32`
38×	`times-frac_binary32`
30×	`associate-l_binary32`

Counts

4 → 114

Calls

4 calls:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

simplify156.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/r*_binary32`
407×	`associate-l_binary32`
401×	`fma-def_binary32`
324×	`associate-r_binary32`
287×	`fma-neg_binary32`

Counts

146 → 199

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3065
1	567	2906
2	1567	2782
3	4666	2782
4	5000	2782
5	4997	2782
6	4916	2782

prune338.0ms (3.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	189	10	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	10	200

Error

0.1b

Counts

200 → 10

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.7b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 4620 to 3462 computations (25.1% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
✓	0.2b	(cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))
✓	0.2b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))

series56.0ms (0.6%)

Counts

3 → 44

Calls

3 calls:

42.0ms

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

9.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

6.0ms

(cos.f32 (*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-l_binary32`
33×	`add-sqr-sqrt_binary32`
29×	`sqrt-prod_binary32`
26×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 79

Calls

3 calls:

10.0ms

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

9.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

2.0ms

(cos.f32 (*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-neg_binary32`
389×	`fma-def_binary32`
330×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
257×	`unswap-sqr_binary32`

Counts

123 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2277
1	487	2121
2	1411	1968
3	3769	1960
4	4991	1960
5	4934	1960

prune309.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	196	7	203
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	203	10	213

Error

0.1b

Counts

213 → 10

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))
	2.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
▶	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))

Compiler

Compiled 5351 to 4199 computations (21.5% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
✓	0.2b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.2b	(cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))
	0.2b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))

series48.0ms (0.5%)

Counts

2 → 32

Calls

2 calls:

45.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
4.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary32`
50×	`unpow-prod-down_binary32`
43×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
28×	`associate-l_binary32`

Counts

2 → 92

Calls

2 calls:

14.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
6.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary32`
448×	`fma-neg_binary32`
379×	`associate-/r*_binary32`
267×	`times-frac_binary32`
184×	`associate-/l*_binary32`

Counts

124 → 174

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	259	3400
1	632	2752
2	1821	2589
3	4514	2589
4	4973	2589
5	4928	2589

prune357.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	234	10	244

Error

0.1b

Counts

244 → 10

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	2.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 1/2)) (sqrt.f32 1/2)) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.9b	(.f32 (.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2))) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	2.2b	(.f32 (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))

Compiler

Compiled 6224 to 4938 computations (20.7% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	0.3b	(*.f32 314159265359/50000000000 u2)

series23.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

16.0ms	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
7.0ms	(sqrt.f32 (-.f32 1 u1))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`sqrt-prod_binary32`
64×	`add-sqr-sqrt_binary32`
61×	`*-un-lft-identity_binary32`
54×	`times-frac_binary32`
37×	`add-cube-cbrt_binary32`

Counts

2 → 107

Calls

2 calls:

9.0ms	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
4.0ms	(sqrt.f32 (-.f32 1 u1))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

525×	`fma-neg_binary32`
389×	`associate-/r*_binary32`
248×	`sub-neg_binary32`
242×	`unswap-sqr_binary32`
241×	`associate-l_binary32`

Counts

115 → 124

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	161	2272
1	326	2217
2	907	2210
3	3184	2194
4	4779	2156
5	4954	2156

prune277.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	177	10	187

Error

0.1b

Counts

187 → 10

Alt Table

Status	Error	Program
	2.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	0.6b	(.f32 (/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
✓	0.4b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.9b	(.f32 (.f32 (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (pow.f32 u1 1/4) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	2.2b	(.f32 (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))

Compiler

Compiled 3864 to 2714 computations (29.8% saved)

regimes5.2s (52.6%)

Accuracy

Total 0.2b remaining (77.4%)

Threshold costs 0.2b (77.4%)

Counts

455 → 1

Compiler

Compiled 99573 to 79093 computations (20.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	23	29
2	27	29
3	29	29
4	30	29
5	29	29

end185.0ms (1.9%)

Compiler: Compiled 328 to 270 computations (17.7% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze373.0ms (3.8%)

sample1.9s (19.3%)

simplify8.0ms (0.1%)

prune5.0ms (0%)

localize30.0ms (0.3%)

series40.0ms (0.4%)

rewrite28.0ms (0.3%)

simplify156.0ms (1.6%)

prune338.0ms (3.4%)

localize37.0ms (0.4%)

series56.0ms (0.6%)

rewrite28.0ms (0.3%)

simplify115.0ms (1.2%)

prune309.0ms (3.1%)

localize39.0ms (0.4%)

series48.0ms (0.5%)

rewrite27.0ms (0.3%)

simplify139.0ms (1.4%)

prune357.0ms (3.6%)

localize35.0ms (0.4%)

series23.0ms (0.2%)

rewrite21.0ms (0.2%)

simplify109.0ms (1.1%)

prune277.0ms (2.8%)

regimes5.2s (52.6%)

simplify2.0ms (0%)

end185.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17