Details

analyze483.0ms (2.6%)

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)

sample92.0ms (0.5%)

Algorithm

1×

intervals

Results

39.0ms	256×	body	128	valid
15.0ms	256×	pre	128	true
0.0ms	1×	pre	128	false

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify18.0ms (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)

localize65.0ms (0.4%)

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

series79.0ms (0.4%)

Counts

4 → 40

Calls

4 calls:

50.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
19.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)

rewrite109.0ms (0.6%)

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:

65.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	(/.f32 u1 (-.f32 1 u1))
5.0ms	(*.f32 314159265359/50000000000 u2)

simplify213.0ms (1.2%)

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

prune614.0ms (3.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	213	10	223
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	214	10	224

Error

0.0b

Counts

224 → 10

Alt Table

Status	Error	Program
	2.0b	(-.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)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.0b	(.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)))))
	0.3b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 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)))))
	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 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(.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))))
	0.6b	(.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))))

Compiler

Compiled 5121 to 3769 computations (26.4% saved)

localize83.0ms (0.5%)

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

series464.0ms (2.5%)

Counts

3 → 36

Calls

3 calls:

204.0ms

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

132.0ms

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

128.0ms

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

rewrite51.0ms (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:

22.0ms

(*.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)))

7.0ms

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

simplify158.0ms (0.9%)

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

prune561.0ms (3.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	209	6	215
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	216	9	225

Error

0.0b

Counts

225 → 9

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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))))
	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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.4b	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	2.0b	(-.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)))))))

Compiler

Compiled 5183 to 3794 computations (26.8% saved)

localize127.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))
	0.5b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series266.0ms (1.5%)

Counts

2 → 32

Calls

2 calls:

261.0ms

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

4.0ms

(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))

rewrite55.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`associate-l_binary32`
24×	`add-sqr-sqrt_binary32`
19×	`*-un-lft-identity_binary32`
16×	`times-frac_binary32`
14×	`add-cube-cbrt_binary32`

Counts

2 → 75

Calls

2 calls:

22.0ms

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

21.0ms

(*.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-def_binary32`
568×	`times-frac_binary32`
456×	`distribute-rgt-in_binary32`
402×	`distribute-lft-in_binary32`
157×	`associate-l_binary32`

Counts

107 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	3179
1	639	2448
2	1945	2340
3	4863	2340
4	4997	2340
5	4943	2340

prune615.0ms (3.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	224	8	232

Error

0.0b

Counts

232 → 8

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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))))
	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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
▶	0.4b	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	2.0b	(-.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)))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))) (cos.f32 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

Compiler

Compiled 6620 to 4461 computations (32.6% saved)

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.3b	(/.f32 1 (+.f32 (/.f32 1 u1) -1))
	0.5b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series219.0ms (1.2%)

Counts

2 → 32

Calls

2 calls:

215.0ms	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
4.0ms	(/.f32 1 (+.f32 (/.f32 1 u1) -1))

rewrite69.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-sqr-sqrt_binary32`
64×	`times-frac_binary32`
58×	`*-un-lft-identity_binary32`
33×	`associate-l_binary32`
33×	`sqrt-prod_binary32`

Counts

2 → 109

Calls

2 calls:

32.0ms	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
15.0ms	(/.f32 1 (+.f32 (/.f32 1 u1) -1))

simplify209.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary32`
563×	`times-frac_binary32`
321×	`associate-l_binary32`
301×	`fma-def_binary32`
285×	`associate-/l*_binary32`

Counts

141 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	3664
1	428	2934
2	1260	2831
3	4595	2831
4	5124	2831

prune690.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	244	7	251

Error

0.0b

Counts

251 → 7

Alt Table

Status	Error	Program
	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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
✓	0.4b	(*.f32 (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 (pow.f32 (/.f32 1 u1) 3) (pow.f32 -1 3)))) (.f32 (sqrt.f32 (+.f32 (.f32 (/.f32 1 u1) (/.f32 1 u1)) (-.f32 (.f32 -1 -1) (*.f32 (/.f32 1 u1) -1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (*.f32 u1 u1))) (+.f32 1 u1))) (cos.f32 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

Compiler

Compiled 6129 to 5095 computations (16.9% saved)

regimes9.3s (51.2%)

Accuracy

Total 0.3b remaining (77.5%)

Threshold costs 0.3b (77.5%)

Counts

403 → 1

Compiler

Compiled 88046 to 70359 computations (20.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	26	30
2	32	30
3	36	30
4	38	30
5	37	30

end1.0ms (0%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

sample3.4s (18.5%)

Algorithm

1×

intervals

Results

1.3s	8000×	body	128	valid
526.0ms	8000×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 255 to 205 computations (19.6% 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

analyze483.0ms (2.6%)

sample92.0ms (0.5%)

simplify18.0ms (0.1%)

prune3.0ms (0%)

localize65.0ms (0.4%)

series79.0ms (0.4%)

rewrite109.0ms (0.6%)

simplify213.0ms (1.2%)

prune614.0ms (3.4%)

localize83.0ms (0.5%)

series464.0ms (2.5%)

rewrite51.0ms (0.3%)

simplify158.0ms (0.9%)

prune561.0ms (3.1%)

localize127.0ms (0.7%)

series266.0ms (1.5%)

rewrite55.0ms (0.3%)

simplify194.0ms (1.1%)

prune615.0ms (3.4%)

localize97.0ms (0.5%)

series219.0ms (1.2%)

rewrite69.0ms (0.4%)

simplify209.0ms (1.1%)

prune690.0ms (3.8%)

regimes9.3s (51.2%)

simplify6.0ms (0%)

end1.0ms (0%)

sample3.4s (18.5%)

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