Details

analyze375.0ms (5.2%)

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)

sample76.0ms (1.1%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% 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

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)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

series32.0ms (0.4%)

Counts

4 → 36

Calls

4 calls:

25.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	(*.f32 314159265359/50000000000 u2)
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

rewrite26.0ms (0.4%)

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:

11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

simplify111.0ms (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 → 211

Iterations

Useful iterations: 2 (0.0ms)

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

prune348.0ms (4.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	199	12	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	12	212

Error

0.1b

Counts

212 → 12

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(.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))))
	6.7b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.9b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	2.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
▶	0.4b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	2.0b	(.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	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 4686 to 3465 computations (26.1% saved)

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))
✓	0.5b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series264.0ms (3.7%)

Counts

3 → 24

Calls

3 calls:

102.0ms	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))
85.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))
78.0ms	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary32`
12×	`pow1_binary32`
9×	`log-pow_binary32`
8×	`distribute-lft-out_binary32`
7×	`add-sqr-sqrt_binary32`

Counts

3 → 55

Calls

3 calls:

4.0ms	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))
4.0ms	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
3.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

604×	`times-frac_binary32`
520×	`fma-neg_binary32`
510×	`fma-def_binary32`
343×	`distribute-rgt-in_binary32`
273×	`distribute-lft-in_binary32`

Counts

79 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	735
1	158	534
2	361	532
3	896	532
4	3411	532
5	4959	532

prune224.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	145	13	158

Error

0.1b

Counts

158 → 13

Alt Table

Status	Error	Program
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.9b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	0.4b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.0b	(.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))))
	2.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
	3.8b	(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	2.0b	(.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	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

Compiler

Compiled 3411 to 2519 computations (26.2% saved)

localize34.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 (-.f32 1 u1) u1)
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
	0.4b	(*.f32 314159265359/50000000000 u2)

series5.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
2.0ms	(/.f32 (-.f32 1 u1) u1)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary32`
124×	`*-un-lft-identity_binary32`
124×	`add-sqr-sqrt_binary32`
76×	`add-cube-cbrt_binary32`
32×	`difference-of-squares_binary32`

Counts

2 → 158

Calls

2 calls:

8.0ms	(/.f32 (-.f32 1 u1) u1)
7.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))

simplify158.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg_binary32`
559×	`distribute-rgt-in_binary32`
462×	`distribute-lft-in_binary32`
244×	`times-frac_binary32`
202×	`div-sub_binary32`

Counts

182 → 219

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	140	3020
1	288	2621
2	850	2561
3	2176	2554
4	4480	2546
5	4896	2546

prune434.0ms (6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	272	13	285

Error

0.1b

Counts

285 → 13

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(.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))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.9b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	2.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
	3.8b	(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	2.0b	(.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	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

Compiler

Compiled 6214 to 4635 computations (25.4% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.2b	(cos.f32 (*.f32 314159265359/50000000000 u2))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

series5.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

5.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

2×	`log1p-expm1-u_binary32`
1×	`*-un-lft-identity_binary32`
1×	`add-sqr-sqrt_binary32`
1×	`add-cube-cbrt_binary32`
1×	`add-cbrt-cube_binary32`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-rgt-neg-in_binary32`
682×	`distribute-lft-neg-in_binary32`
454×	`associate-l_binary32`
446×	`fma-def_binary32`
424×	`cancel-sign-sub-inv_binary32`

Counts

23 → 27

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	280
1	92	253
2	249	247
3	743	241
4	2893	241
5	5064	241

prune229.0ms (3.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	141	13	154

Error

0.1b

Counts

154 → 13

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(.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))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.9b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	2.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
	3.8b	(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	2.0b	(.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	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

Compiler

Compiled 2913 to 2218 computations (23.9% saved)

regimes2.8s (38.4%)

Accuracy

Total 0.2b remaining (74.6%)

Threshold costs 0.2b (74.6%)

Counts

261 → 1

Compiler

Compiled 49102 to 38543 computations (21.5% 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

end1.0ms (0%)

Compiler: Compiled 16 to 13 computations (18.8% saved)

sample1.8s (25.4%)

Algorithm

1×

intervals

Results

725.0ms	8000×	body	128	valid
363.0ms	8000×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 341 to 268 computations (21.4% 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

analyze375.0ms (5.2%)

sample76.0ms (1.1%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize27.0ms (0.4%)

series32.0ms (0.4%)

rewrite26.0ms (0.4%)

simplify111.0ms (1.5%)

prune348.0ms (4.8%)

localize43.0ms (0.6%)

series264.0ms (3.7%)

rewrite13.0ms (0.2%)

simplify66.0ms (0.9%)

prune224.0ms (3.1%)

localize34.0ms (0.5%)

series5.0ms (0.1%)

rewrite29.0ms (0.4%)

simplify158.0ms (2.2%)

prune434.0ms (6%)

localize39.0ms (0.5%)

series5.0ms (0.1%)

rewrite1.0ms (0%)

simplify53.0ms (0.7%)

prune229.0ms (3.2%)

regimes2.8s (38.4%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (25.4%)

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