Details

analyze375.0ms (4.9%)

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%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
12.0ms	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

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)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series30.0ms (0.4%)

Counts

4 → 36

Calls

4 calls:

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

rewrite28.0ms (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:

10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

simplify109.0ms (1.4%)

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

prune308.0ms (4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	198	13	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	13	212

Error

0.1b

Counts

212 → 13

Alt Table

Status	Error	Program
	2.6b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.1b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.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)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.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))))
▶	0.4b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	2.2b	(.f32 (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (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)))
	2.4b	(-.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)))))))
	1.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 4754 to 3513 computations (26.1% saved)

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series237.0ms (3.1%)

Counts

3 → 24

Calls

3 calls:

83.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))
83.0ms	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))
70.0ms	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

rewrite14.0ms (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:

5.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))
4.0ms	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))
3.0ms	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

simplify61.0ms (0.8%)

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

prune225.0ms (2.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	143	3	146
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	146	13	159

Error

0.1b

Counts

159 → 13

Alt Table

Status	Error	Program
	2.6b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	6.1b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.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)))
	1.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.2b	(.f32 (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.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)))))
	2.4b	(-.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)))))))
	0.6b	(.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))))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 3441 to 2541 computations (26.2% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

11.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))
7.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary32`
83×	`*-un-lft-identity_binary32`
76×	`times-frac_binary32`
47×	`sqrt-prod_binary32`
44×	`add-cube-cbrt_binary32`

Counts

2 → 134

Calls

2 calls:

15.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
5.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))

simplify129.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary32`
414×	`associate-/l*_binary32`
407×	`fma-neg_binary32`
268×	`times-frac_binary32`
238×	`associate-l_binary32`

Counts

142 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	2426
1	319	2226
2	1023	2194
3	2930	2192
4	4562	2192
5	4993	2192
6	4951	2192

prune326.0ms (4.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	217	13	230

Error

0.1b

Counts

230 → 13

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 u1 (sqrt.f32 (sqrt.f32 u1))) (+.f32 1 (sqrt.f32 u1))) (/.f32 (sqrt.f32 (sqrt.f32 u1)) (-.f32 1 (sqrt.f32 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)))
	6.1b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	1.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	5.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.2b	(.f32 (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	2.6b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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)))))
	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)))))
	2.4b	(-.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)))))))
	0.6b	(.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))))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 5393 to 3383 computations (37.3% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series140.0ms (1.8%)

Counts

2 → 28

Calls

2 calls:

74.0ms	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
66.0ms	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary32`
16×	`sqrt-prod_binary32`
15×	`*-un-lft-identity_binary32`
9×	`associate-/r*_binary32`
9×	`times-frac_binary32`

Counts

2 → 61

Calls

2 calls:

7.0ms	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
5.0ms	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

719×	`times-frac_binary32`
613×	`associate-/l*_binary32`
353×	`fma-def_binary32`
256×	`associate-/l/_binary32`
235×	`fma-neg_binary32`

Counts

89 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	2022
1	430	1835
2	1506	1754
3	4470	1721
4	4955	1721
5	4948	1721

prune230.0ms (3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	164	11	175

Error

0.1b

Counts

175 → 11

Alt Table

Status	Error	Program
	1.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	1.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (exp.f32 (log.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	5.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (log.f32 (exp.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(cbrt.f32 (/.f32 (.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))
	6.1b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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)))))
	0.5b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 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)))))
	0.7b	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 1 (sqrt.f32 u1)))) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 (sqrt.f32 u1)))))
	0.6b	(.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))))
	0.9b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 3400 to 2448 computations (28% saved)

regimes3.3s (42.6%)

Accuracy

Total 0.3b remaining (74.2%)

Threshold costs 0.3b (74.2%)

Counts

339 → 1

Compiler

Compiled 60160 to 45864 computations (23.8% 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 (23.3%)

Algorithm

1×

intervals

Results

753.0ms	8000×	body	128	valid
285.0ms	8000×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 302 to 238 computations (21.2% 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 (4.9%)

sample76.0ms (1%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize31.0ms (0.4%)

series30.0ms (0.4%)

rewrite28.0ms (0.4%)

simplify109.0ms (1.4%)

prune308.0ms (4%)

localize43.0ms (0.6%)

series237.0ms (3.1%)

rewrite14.0ms (0.2%)

simplify61.0ms (0.8%)

prune225.0ms (2.9%)

localize38.0ms (0.5%)

series19.0ms (0.2%)

rewrite32.0ms (0.4%)

simplify129.0ms (1.7%)

prune326.0ms (4.3%)

localize33.0ms (0.4%)

series140.0ms (1.8%)

rewrite16.0ms (0.2%)

simplify98.0ms (1.3%)

prune230.0ms (3%)

regimes3.3s (42.6%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (23.3%)

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