Details

analyze447.0ms (5.6%)

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)

sample2.0s (25.7%)

Results

2.0s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify9.0ms (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

prune2.0ms (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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series37.0ms (0.5%)

Counts

4 → 36

Calls

4 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
5.0ms	(*.f32 314159265359/50000000000 u2)
3.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary32`
50×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
30×	`associate-l_binary32`
29×	`add-cube-cbrt_binary32`

Counts

4 → 119

Calls

4 calls:

17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
5.0ms	(*.f32 314159265359/50000000000 u2)
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary32`
431×	`fma-def_binary32`
378×	`associate-/r*_binary32`
357×	`times-frac_binary32`
249×	`associate-/l*_binary32`

Counts

155 → 194

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2854
1	565	2690
2	1637	2568
3	4598	2568
4	4961	2568

prune408.0ms (5.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	181	13	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	13	195

Error

0.0b

Counts

195 → 13

Alt Table

Status	Error	Program
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.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))))
	0.9b	(.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)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(.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))))
	0.4b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))

Compiler

Compiled 4477 to 3302 computations (26.2% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.2b	(log1p.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

series33.0ms (0.4%)

Counts

3 → 44

Calls

3 calls:

28.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))

3.0ms

(log1p.f32 (*.f32 314159265359/50000000000 u2))

2.0ms

(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary32`
27×	`associate-l_binary32`
26×	`sqrt-prod_binary32`
24×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 71

Calls

3 calls:

14.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))

1.0ms

(log1p.f32 (*.f32 314159265359/50000000000 u2))

0.0ms

(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-neg_binary32`
442×	`associate-l_binary32`
405×	`fma-def_binary32`
382×	`associate-r_binary32`
322×	`associate-/r*_binary32`

Counts

115 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	2365
1	512	2238
2	1481	2114
3	4555	2109
4	4989	2109
5	4936	2109

prune250.0ms (3.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	169	3	172
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	173	12	185

Error

0.0b

Counts

185 → 12

Alt Table

Status	Error	Program
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.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))))
	0.9b	(.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)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(.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))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))

Compiler

Compiled 4405 to 3394 computations (23% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series36.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

31.0ms	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	(/.f32 1 (+.f32 (/.f32 1 u1) -1))
1.0ms	(+.f32 (/.f32 1 u1) -1)

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary32`
75×	`times-frac_binary32`
70×	`*-un-lft-identity_binary32`
37×	`add-cube-cbrt_binary32`
33×	`associate-l_binary32`

Counts

3 → 140

Calls

3 calls:

15.0ms	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
7.0ms	(/.f32 1 (+.f32 (/.f32 1 u1) -1))
7.0ms	(+.f32 (/.f32 1 u1) -1)

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

563×	`times-frac_binary32`
406×	`associate-l_binary32`
404×	`fma-def_binary32`
323×	`fma-neg_binary32`
283×	`associate-/l*_binary32`

Counts

184 → 224

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	195	3451
1	456	3312
2	1406	3160
3	4607	3156
4	4930	3156

prune365.0ms (4.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	244	2	246
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	247	11	258

Error

0.0b

Counts

258 → 11

Alt Table

Status	Error	Program
	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)))))
	0.9b	(.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))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (+.f32 (sqrt.f32 (/.f32 1 u1)) 1) (-.f32 (sqrt.f32 (/.f32 1 u1)) 1)))) (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))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 -1 (/.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))

Compiler

Compiled 5935 to 5002 computations (15.7% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	0.2b	(log1p.f32 (*.f32 314159265359/50000000000 u2))
	0.3b	(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

series32.0ms (0.4%)

Counts

1 → 16

Calls

1 calls:

32.0ms

(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`sqrt-prod_binary32`
11×	`*-un-lft-identity_binary32`
11×	`add-sqr-sqrt_binary32`
9×	`associate-/r*_binary32`
9×	`times-frac_binary32`

Counts

1 → 37

Calls

1 calls:

7.0ms

(/.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

525×	`times-frac_binary32`
464×	`associate-/l*_binary32`
415×	`associate-/r*_binary32`
316×	`associate-l_binary32`
243×	`fma-def_binary32`

Counts

53 → 71

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1464
1	364	1321
2	1195	1251
3	4298	1218
4	5000	1218

prune197.0ms (2.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	145	11	156

Error

0.0b

Counts

156 → 11

Alt Table

Status	Error	Program
	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)))))
	0.9b	(.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))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (+.f32 (sqrt.f32 (/.f32 1 u1)) 1) (-.f32 (sqrt.f32 (/.f32 1 u1)) 1)))) (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))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 -1 (/.f32 1 u1)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))))))

Compiler

Compiled 3384 to 2554 computations (24.5% saved)

regimes3.2s (40.3%)

Accuracy

Total 0.2b remaining (73.9%)

Threshold costs 0.2b (73.9%)

Counts

267 → 1

Compiler

Compiled 51401 to 41463 computations (19.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-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	13	21
1	19	21
2	23	21
3	25	21
4	26	21
5	25	21

end173.0ms (2.2%)

Compiler: Compiled 285 to 228 computations (20% 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

analyze447.0ms (5.6%)

sample2.0s (25.7%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize36.0ms (0.5%)

series37.0ms (0.5%)

rewrite43.0ms (0.5%)

simplify115.0ms (1.5%)

prune408.0ms (5.2%)

localize37.0ms (0.5%)

series33.0ms (0.4%)

rewrite20.0ms (0.3%)

simplify127.0ms (1.6%)

prune250.0ms (3.2%)

localize35.0ms (0.4%)

series36.0ms (0.5%)

rewrite39.0ms (0.5%)

simplify120.0ms (1.5%)

prune365.0ms (4.6%)

localize43.0ms (0.5%)

series32.0ms (0.4%)

rewrite10.0ms (0.1%)

simplify70.0ms (0.9%)

prune197.0ms (2.5%)

regimes3.2s (40.3%)

simplify3.0ms (0%)

end173.0ms (2.2%)

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