Details

analyze505.0ms (4.5%)

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 (0.7%)

Algorithm

1×

intervals

Results

35.0ms	256×	body	128	valid
12.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify11.0ms (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)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series47.0ms (0.4%)

Counts

4 → 40

Calls

4 calls:

30.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary32`
69×	`*-un-lft-identity_binary32`
56×	`times-frac_binary32`
50×	`sqrt-prod_binary32`
39×	`add-cube-cbrt_binary32`

Counts

4 → 148

Calls

4 calls:

15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)

simplify164.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-/r*_binary32`
481×	`fma-def_binary32`
401×	`times-frac_binary32`
261×	`associate-/l*_binary32`
204×	`fma-neg_binary32`

Counts

188 → 223

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3681
1	635	3497
2	1868	3373
3	4856	3373
4	4924	3373

prune468.0ms (4.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	212	11	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	213	11	224

Error

0.0b

Counts

224 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	14.0b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (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 (*.f32 314159265359/50000000000 u2))))
	2.5b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	1.7b	(-.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	2.6b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))

Compiler

Compiled 5099 to 3751 computations (26.4% saved)

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	1.5b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series381.0ms (3.4%)

Counts

3 → 36

Calls

3 calls:

165.0ms

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

113.0ms

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

104.0ms

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

rewrite51.0ms (0.5%)

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:

23.0ms

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

7.0ms

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

6.0ms

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

simplify172.0ms (1.5%)

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

prune551.0ms (4.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	209	6	215
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	215	11	226

Error

0.0b

Counts

226 → 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))))))
	0.4b	(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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(*.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	14.0b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.5b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
▶	0.3b	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	6.3b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 5171 to 3784 computations (26.8% saved)

localize99.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.3b	(/.f32 1 (/.f32 (-.f32 1 u1) u1))
	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
	1.5b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series198.0ms (1.8%)

Counts

2 → 32

Calls

2 calls:

194.0ms	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
4.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))

rewrite115.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

264×	`times-frac_binary32`
199×	`add-sqr-sqrt_binary32`
185×	`*-un-lft-identity_binary32`
120×	`add-cube-cbrt_binary32`
76×	`sqrt-prod_binary32`

Counts

2 → 211

Calls

2 calls:

40.0ms	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
14.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))

simplify317.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

900×	`times-frac_binary32`
440×	`associate-/r*_binary32`
379×	`associate-/l*_binary32`
290×	`fma-def_binary32`
228×	`associate-/r/_binary32`

Counts

243 → 328

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	6175
1	524	4722
2	1663	4526
3	4660	4526
4	5005	4526

prune992.0ms (8.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	393	1	394
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	395	10	405

Error

0.0b

Counts

405 → 10

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))))))
▶	0.4b	(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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.2b	(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 u1) u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	14.0b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.5b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	6.3b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 10595 to 7892 computations (25.5% saved)

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	0.5b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	1.5b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series16.0ms (0.1%)

Counts

2 → 20

Calls

2 calls:

12.0ms	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
4.0ms	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

rewrite86.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`add-sqr-sqrt_binary32`
148×	`sqrt-prod_binary32`
127×	`times-frac_binary32`
124×	`*-un-lft-identity_binary32`
61×	`add-cube-cbrt_binary32`

Counts

2 → 221

Calls

2 calls:

28.0ms	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
24.0ms	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

436×	`fma-def_binary32`
425×	`associate-/l*_binary32`
387×	`times-frac_binary32`
280×	`associate-l_binary32`
236×	`associate-r_binary32`

Counts

241 → 309

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4262
1	631	3787
2	2288	3716
3	4996	3716

prune1.1s (9.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	507	10	517

Error

0.0b

Counts

517 → 10

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))))))
✓	0.4b	(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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.2b	(*.f32 (sqrt.f32 (exp.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 u1) u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	14.0b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.5b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	6.3b	(log.f32 (exp.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 25769 to 18957 computations (26.4% saved)

regimes3.7s (32.9%)

Accuracy

Total 0.2b remaining (73.9%)

Threshold costs 0.2b (73.9%)

Counts

303 → 1

Compiler

Compiled 66359 to 52847 computations (20.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	37
1	24	37
2	28	37
3	30	37
4	31	37
5	30	37

end1.0ms (0%)

Compiler: Compiled 27 to 20 computations (25.9% saved)

sample1.8s (16.5%)

Algorithm

1×

intervals

Results

780.0ms	8000×	body	128	valid
294.0ms	8000×	pre	128	true
0.0ms	7×	pre	128	false

Compiler

Compiled 295 to 232 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

analyze505.0ms (4.5%)

sample74.0ms (0.7%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize37.0ms (0.3%)

series47.0ms (0.4%)

rewrite43.0ms (0.4%)

simplify164.0ms (1.5%)

prune468.0ms (4.2%)

localize77.0ms (0.7%)

series381.0ms (3.4%)

rewrite51.0ms (0.5%)

simplify172.0ms (1.5%)

prune551.0ms (4.9%)

localize99.0ms (0.9%)

series198.0ms (1.8%)

rewrite115.0ms (1%)

simplify317.0ms (2.8%)

prune992.0ms (8.9%)

localize67.0ms (0.6%)

series16.0ms (0.1%)

rewrite86.0ms (0.8%)

simplify118.0ms (1.1%)

prune1.1s (9.6%)

regimes3.7s (32.9%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (16.5%)

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