Details

analyze393.0ms (3.7%)

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)

sample1.9s (18.3%)

Results

1.9s	8256×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% 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)

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 (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)

series27.0ms (0.3%)

Counts

4 → 36

Calls

4 calls:

22.0ms	(.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))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite26.0ms (0.2%)

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

simplify105.0ms (1%)

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 → 192

Iterations

Useful iterations: 2 (0.0ms)

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

prune280.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	179	13	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	13	193

Error

0.1b

Counts

193 → 13

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)))
	0.4b	(.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 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (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 (.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)))))
	0.7b	(.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)))
	0.4b	(*.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 (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 (.f32 314159265359/50000000000 u2))))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	4.4b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (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)))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(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 (.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))))

Compiler

Compiled 4490 to 3306 computations (26.4% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
✓	0.5b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

series16.0ms (0.2%)

Counts

3 → 32

Calls

3 calls:

8.0ms

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

5.0ms

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

3.0ms

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

rewrite88.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

199×	`add-sqr-sqrt_binary32`
148×	`sqrt-prod_binary32`
129×	`*-un-lft-identity_binary32`
127×	`times-frac_binary32`
66×	`add-cube-cbrt_binary32`

Counts

3 → 250

Calls

3 calls:

25.0ms

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

23.0ms

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

4.0ms

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

simplify158.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-def_binary32`
387×	`times-frac_binary32`
313×	`associate-l_binary32`
269×	`associate-r_binary32`
241×	`unswap-sqr_binary32`

Counts

282 → 359

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	4801
1	755	4214
2	2565	4118
3	4536	4064
4	4910	4064

prune732.0ms (6.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	420	5	425
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	428	10	438

Error

0.0b

Counts

438 → 10

Alt Table

Status	Error	Program
	1.1b	(cbrt.f32 (.f32 (exp.f32 (log.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)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	4.2b	(cbrt.f32 (.f32 (.f32 (fma.f32 u1 u1 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 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 (.f32 314159265359/50000000000 u2))))
	0.3b	(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 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))))
▶	0.3b	(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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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 (*.f32 314159265359/50000000000 u2))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.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)))))

Compiler

Compiled 18156 to 13581 computations (25.2% saved)

localize71.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.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))))
✓	1.4b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series138.0ms (1.3%)

Counts

2 → 16

Calls

2 calls:

71.0ms	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))
67.0ms	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary32`
11×	`pow1_binary32`
9×	`log-pow_binary32`
8×	`distribute-lft-out_binary32`
7×	`exp-prod_binary32`

Counts

2 → 46

Calls

2 calls:

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

simplify63.0ms (0.6%)

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

62 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	543
1	145	403
2	348	401
3	882	401
4	3395	401
5	4942	401

prune771.0ms (7.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	371	4	375
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	376	9	385

Error

0.0b

Counts

385 → 9

Alt Table

Status	Error	Program
	1.1b	(cbrt.f32 (.f32 (exp.f32 (log.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)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.3b	(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 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	4.2b	(cbrt.f32 (.f32 (.f32 (fma.f32 u1 u1 u1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.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 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	0.3b	(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 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 (*.f32 314159265359/50000000000 u2))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 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)))))

Compiler

Compiled 17237 to 12792 computations (25.8% saved)

localize79.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.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))))
✓	1.7b	(pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series233.0ms (2.2%)

Counts

1 → 12

Calls

1 calls:

233.0ms

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

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow-unpow_binary32`
7×	`*-un-lft-identity_binary32`
6×	`pow1_binary32`
4×	`distribute-lft-out_binary32`
4×	`log-pow_binary32`

Counts

1 → 25

Calls

1 calls:

4.0ms

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

779×	`fma-def_binary32`
413×	`associate-l_binary32`
315×	`associate-r_binary32`
313×	`fma-neg_binary32`
308×	`div-sub_binary32`

Counts

37 → 39

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	468
1	111	264
2	226	258
3	604	258
4	2381	258
5	4329	258
6	4865	258

prune787.0ms (7.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	382	5	387
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	387	9	396

Error

0.0b

Counts

396 → 9

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)))))
	0.9b	(cbrt.f32 (.f32 (.f32 (exp.f32 (log.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 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	0.3b	(cbrt.f32 (.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))
	0.3b	(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 (pow.f32 (E.f32) (+.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 (sqrt.f32 u2))) (log.f32 (sqrt.f32 u2))))))))
	0.2b	(cbrt.f32 (.f32 (/.f32 (.f32 u1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (-.f32 1 u1)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 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 (*.f32 314159265359/50000000000 u2))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(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 (pow.f32 (E.f32) (log.f32 314159265359/50000000000)) u2)))))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.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 (pow.f32 (E.f32) (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))))

Compiler

Compiled 17906 to 12998 computations (27.4% saved)

regimes4.3s (40.6%)

Accuracy

Total 0.2b remaining (78.7%)

Threshold costs 0.2b (78.7%)

Counts

296 → 1

Compiler

Compiled 88783 to 70712 computations (20.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
3×	`+-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	22	52
1	32	52
2	36	52
3	38	52
4	39	52
5	38	52

end200.0ms (1.9%)

Compiler: Compiled 371 to 288 computations (22.4% 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

analyze393.0ms (3.7%)

sample1.9s (18.3%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize29.0ms (0.3%)

series27.0ms (0.3%)

rewrite26.0ms (0.2%)

simplify105.0ms (1%)

prune280.0ms (2.7%)

localize53.0ms (0.5%)

series16.0ms (0.2%)

rewrite88.0ms (0.8%)

simplify158.0ms (1.5%)

prune732.0ms (6.9%)

localize71.0ms (0.7%)

series138.0ms (1.3%)

rewrite9.0ms (0.1%)

simplify63.0ms (0.6%)

prune771.0ms (7.3%)

localize79.0ms (0.7%)

series233.0ms (2.2%)

rewrite5.0ms (0%)

simplify65.0ms (0.6%)

prune787.0ms (7.5%)

regimes4.3s (40.6%)

simplify3.0ms (0%)

end200.0ms (1.9%)

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