Details

analyze362.0ms (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)

sample74.0ms (0.8%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% 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

prune3.0ms (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)

localize29.0ms (0.3%)

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

series30.0ms (0.3%)

Counts

4 → 36

Calls

4 calls:

24.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.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

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:

13.0ms	(.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))

simplify114.0ms (1.2%)

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

prune277.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	183	11	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	11	195

Error

0.0b

Counts

195 → 11

Alt Table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.4b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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 (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)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (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 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.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))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (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 (.f32 314159265359/50000000000 u2)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 4441 to 3260 computations (26.6% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.1b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series241.0ms (2.6%)

Counts

3 → 36

Calls

3 calls:

101.0ms

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

73.0ms

(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

66.0ms

(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

11.0ms

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

5.0ms

(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

4.0ms

(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Rules

299×	`associate-/r*_binary32`
291×	`associate-l_binary32`
288×	`distribute-neg-frac_binary32`
274×	`fma-neg_binary32`
273×	`fma-def_binary32`

Counts

129 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2257
1	426	2069
2	1128	1983
3	3644	1983
4	4959	1983

prune345.0ms (3.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	211	6	217
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	217	11	228

Error

0.0b

Counts

228 → 11

Alt Table

Status	Error	Program
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	6.1b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (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 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 5302 to 3874 computations (26.9% saved)

localize90.0ms (1%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.2%)

Counts

3 → 20

Calls

3 calls:

11.0ms	(/.f32 u1 (sqrt.f32 (-.f32 1 u1)))
8.0ms	(sqrt.f32 (-.f32 1 u1))
3.0ms	(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))

rewrite98.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

594×	`times-frac_binary32`
458×	`add-sqr-sqrt_binary32`
457×	`*-un-lft-identity_binary32`
414×	`sqrt-prod_binary32`
250×	`add-cube-cbrt_binary32`

Counts

3 → 433

Calls

3 calls:

17.0ms	(/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))
5.0ms	(/.f32 u1 (sqrt.f32 (-.f32 1 u1)))
4.0ms	(sqrt.f32 (-.f32 1 u1))

simplify414.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-/l/_binary32`
389×	`fma-neg_binary32`
323×	`associate-l_binary32`
321×	`associate-/r/_binary32`
315×	`fma-def_binary32`

Counts

453 → 455

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	365	14356
1	797	13246
2	1844	12676
3	3852	12433
4	4806	12433
5	4929	12433

prune712.0ms (7.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	507	11	518

Error

0.0b

Counts

518 → 11

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	6.1b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (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 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 15303 to 11308 computations (26.1% saved)

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.3b	(*.f32 314159265359/50000000000 u2)
	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series241.0ms (2.6%)

Counts

1 → 12

Calls

1 calls:

241.0ms

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

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary32`
16×	`cbrt-prod_binary32`
9×	`*-un-lft-identity_binary32`
9×	`add-cube-cbrt_binary32`
8×	`pow1_binary32`

Counts

1 → 42

Calls

1 calls:

6.0ms

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

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary32`
502×	`fma-neg_binary32`
451×	`log-prod_binary32`
381×	`cancel-sign-sub-inv_binary32`
315×	`*-commutative_binary32`

Counts

54 → 65

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	65	889
1	130	857
2	318	729
3	810	701
4	1755	578
5	3174	578
6	4140	578
7	4865	578
8	4841	578

prune307.0ms (3.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	175	11	186

Error

0.0b

Counts

186 → 11

Alt Table

Status	Error	Program
✓	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.9b	(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	6.1b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))) (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 5830 to 4613 computations (20.9% saved)

regimes3.9s (40.9%)

Accuracy

Total 0.3b remaining (82%)

Threshold costs 0.3b (82%)

Counts

327 → 1

Compiler

Compiled 72125 to 57463 computations (20.3% saved)

simplify4.0ms (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	18	25
1	25	25
2	29	25
3	31	25
4	32	25
5	29	25

end1.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample1.8s (19.2%)

Algorithm

1×

intervals

Results

720.0ms	8000×	body	128	valid
284.0ms	8000×	pre	128	true
0.0ms	7×	pre	128	false

Compiler

Compiled 350 to 276 computations (21.1% 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

analyze362.0ms (3.8%)

sample74.0ms (0.8%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize29.0ms (0.3%)

series30.0ms (0.3%)

rewrite28.0ms (0.3%)

simplify114.0ms (1.2%)

prune277.0ms (2.9%)

localize41.0ms (0.4%)

series241.0ms (2.6%)

rewrite26.0ms (0.3%)

simplify97.0ms (1%)

prune345.0ms (3.7%)

localize90.0ms (1%)

series21.0ms (0.2%)

rewrite98.0ms (1%)

simplify414.0ms (4.4%)

prune712.0ms (7.6%)

localize70.0ms (0.7%)

series241.0ms (2.6%)

rewrite8.0ms (0.1%)

simplify110.0ms (1.2%)

prune307.0ms (3.3%)

regimes3.9s (40.9%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.8s (19.2%)

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