Details

analyze3.0s (24.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
16.4%	83.5%	0.1%	9
24.6%	75.3%	0.1%	10
28.7%	71.2%	0.1%	11
30.7%	69.1%	0.1%	12
35.8%	64%	0.1%	13
38.4%	61.5%	0.1%	14

Compiler

Compiled 32 to 18 computations (43.8% saved)

sample161.0ms (1.3%)

Algorithm

1×

intervals

Results

91.0ms	71×	body	1024	valid
34.0ms	148×	body	128	valid
20.0ms	26×	body	512	valid
5.0ms	11×	body	256	valid

Compiler

Compiled 66 to 38 computations (42.4% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
1×	`+-commutative_binary64`
1×	`associate-/r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	29	46
2	44	46
3	44	46
4	44	46

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 62 to 34 computations (45.2% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (sin.f64 t))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite171.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
92×	`add-sqr-sqrt_binary64`
90×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
26×	`associate-/l*_binary64`

Counts

4 → 168

Calls

4 calls:

5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
3.0ms	(*.f64 ew (sin.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6179 to 1240 computations (79.9% saved)

series135.0ms (1.1%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

44.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
44.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
24.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
15.0ms	(*.f64 ew (sin.f64 t))

Compiler

Compiled 2526 to 1460 computations (42.2% saved)

simplify209.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

404×	`associate-/l/_binary64`
369×	`div-sub_binary64`
333×	`times-frac_binary64`
313×	`associate-/r*_binary64`
278×	`associate-/l*_binary64`

Counts

203 → 99

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	3739
1	441	3569
2	1104	3569
3	2663	3569
4	2991	3569
5	3474	3569
6	4431	3569
7	5017	3569

prune64.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	3	100

Error

0.1b

Counts

100 → 3

Alt Table

Status	Error	Program
	27.8b	(fabs.f64 (+.f64 (.f64 (.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (+.f64 (.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (sin.f64 t) (cbrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.1b	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (.f64 (tan.f64 t) ew))))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 2594 to 590 computations (77.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(/.f64 eh (*.f64 (tan.f64 t) ew))
2.2b	(/.f64 eh (*.f64 (tan.f64 t) ew))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
11.5b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (*.f64 (tan.f64 t) ew)))))

rewrite187.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

81×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
51×	`add-cube-cbrt_binary64`
19×	`associate-/l*_binary64`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))
4.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))
3.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (*.f64 (tan.f64 t) ew)))))

Compiler

Compiled 5971 to 1693 computations (71.6% saved)

series316.0ms (2.6%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

113.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (*.f64 (tan.f64 t) ew)))))
85.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))
50.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
49.0ms	(/.f64 eh (*.f64 (tan.f64 t) ew))

Compiler

Compiled 4442 to 2540 computations (42.8% saved)

simplify183.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/l*_binary64`
586×	`associate-l_binary64`
500×	`associate-r_binary64`
265×	`associate-/r/_binary64`
169×	`associate-/l/_binary64`

Counts

176 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3387
1	555	3151
2	1541	3140
3	4620	3140
4	4990	3140
5	4964	3140

prune66.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	83	3	86

Error

0.1b

Counts

86 → 3

Alt Table

Status	Error	Program
	27.8b	(fabs.f64 (+.f64 (.f64 (.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	0.6b	(fabs.f64 (+.f64 (.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (sin.f64 t) (cbrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.1b	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (.f64 (tan.f64 t) ew))))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 2979 to 898 computations (69.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 ew)
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite382.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-sqr-sqrt_binary64`
89×	`add-cube-cbrt_binary64`
26×	`associate-/l*_binary64`

Counts

4 → 161

Calls

4 calls:

9.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
1.0ms	(cbrt.f64 ew)

Compiler

Compiled 7109 to 1232 computations (82.7% saved)

series155.0ms (1.3%)

Error

0.1b

Counts

4 → 31

Calls

4 calls:

48.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
47.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
28.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
25.0ms	(cbrt.f64 ew)

Compiler

Compiled 2760 to 1538 computations (44.3% saved)

simplify191.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

767×	`times-frac_binary64`
423×	`associate-/l*_binary64`
353×	`associate-r_binary64`
351×	`associate-l_binary64`
236×	`unswap-sqr_binary64`

Counts

192 → 106

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3590
1	399	3373
2	1085	3371
3	3893	3371
4	4704	3371
5	4939	3371
6	4939	3371

prune62.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Error

0.1b

Counts

109 → 3

Alt Table

Status	Error	Program
▶	27.8b	(fabs.f64 (+.f64 (.f64 (.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.6b	(fabs.f64 (+.f64 (.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (sin.f64 t) (cbrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	0.1b	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (.f64 (tan.f64 t) ew))))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 3549 to 703 computations (80.2% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew)))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
4.1b	(/.f64 (/.f64 eh ew) (tan.f64 t))
32.9b	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

150×	`times-frac_binary64`
90×	`*-un-lft-identity_binary64`
90×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
26×	`associate-/l*_binary64`

Counts

4 → 171

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew)))
6.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
5.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
1.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Compiler

Compiled 6907 to 1256 computations (81.8% saved)

series138.0ms (1.1%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

46.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
44.0ms	(/.f64 (/.f64 eh ew) (tan.f64 t))
26.0ms	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
14.0ms	(.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew)))

Compiler

Compiled 2785 to 1585 computations (43.1% saved)

simplify217.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-l_binary64`
449×	`associate-/l/_binary64`
406×	`associate-/r*_binary64`
392×	`times-frac_binary64`
316×	`associate-/l*_binary64`

Counts

206 → 110

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	216	3877
1	479	3610
2	1201	3610
3	3507	3610
4	4202	3610
5	4877	3610
6	5001	3610

prune54.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Error

0.1b

Counts

113 → 3

Alt Table

Status	Error	Program
	27.8b	(fabs.f64 (+.f64 (.f64 (.f64 (sqrt.f64 ew) (.f64 (sin.f64 t) (sqrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.6b	(fabs.f64 (+.f64 (.f64 (.f64 (.f64 (cbrt.f64 ew) (cbrt.f64 ew)) (.f64 (sin.f64 t) (cbrt.f64 ew))) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
	0.1b	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 (/.f64 eh (.f64 (tan.f64 t) ew)) (/.f64 eh (.f64 (tan.f64 t) ew))))))) (.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 3036 to 578 computations (81% saved)

regimes1.2s (9.6%)

Accuracy

Total 0.0b remaining (17%)

Threshold costs 0.0b (17%)

Compiler

Compiled 26211 to 15924 computations (39.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	33	61
2	32	61

end1.0ms (0%)

Compiler: Compiled 41 to 24 computations (41.5% saved)

sample5.1s (41.5%)

Algorithm

1×

intervals

Results

2.5s	1930×	body	1024	valid
1.1s	4536×	body	128	valid
805.0ms	1052×	body	512	valid
249.0ms	476×	body	256	valid
21.0ms	6×	body	2048	valid

Compiler

Compiled 190 to 108 computations (43.2% saved)

Details

analyze3.0s (24.6%)

sample161.0ms (1.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize24.0ms (0.2%)

rewrite171.0ms (1.4%)

series135.0ms (1.1%)

simplify209.0ms (1.7%)

prune64.0ms (0.5%)

localize29.0ms (0.2%)

rewrite187.0ms (1.5%)

series316.0ms (2.6%)

simplify183.0ms (1.5%)

prune66.0ms (0.5%)

localize28.0ms (0.2%)

rewrite382.0ms (3.1%)

series155.0ms (1.3%)

simplify191.0ms (1.6%)

prune62.0ms (0.5%)

localize25.0ms (0.2%)

rewrite149.0ms (1.2%)

series138.0ms (1.1%)

simplify217.0ms (1.8%)

prune54.0ms (0.4%)

regimes1.2s (9.6%)

simplify4.0ms (0%)

end1.0ms (0%)

sample5.1s (41.5%)

Profiling