Details

analyze331.0ms

Algorithm

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
7.0ms	219×	body	128	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4876	12
1	4876	12

prune1.0ms

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

Merged error: 10.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0b	(cosh.f64 x)
9.9b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cosh-def_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	(cosh.f64 x)
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series467.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
53.0ms	(cosh.f64 x)
257.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4960	985
1	4960	985

prune57.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	10	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	10	78

Merged error: 0.1b

Counts

78 → 10

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
6.5b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64` `cosh-def_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(cosh.f64 x)
4.0ms	(*.f64 (cosh.f64 x) y)
7.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

series433.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(cosh.f64 x)
120.0ms	(*.f64 (cosh.f64 x) y)
259.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

simplify66.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4989	672
1	4989	672

prune39.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	58	10	68

Merged error: 0.0b

Counts

68 → 10

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(/.f64 (cosh.f64 x) x)
6.4b	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64`
31×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

1.0ms	(cosh.f64 x)
4.0ms	(/.f64 (cosh.f64 x) x)
12.0ms	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

series394.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(cosh.f64 x)
93.0ms	(/.f64 (cosh.f64 x) x)
249.0ms	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

simplify80.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4958	1330
1	4958	1330

prune54.0ms

Filtered

72 candidates to 95 candidates (-31.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0b

Counts

105 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y z))
6.3b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cosh-def_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh.f64 x)
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y z))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)

series513.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(cosh.f64 x)
193.0ms	(*.f64 (cosh.f64 x) (/.f64 y z))
263.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4987	991
1	4987	991

prune36.0ms

Filtered

57 candidates to 77 candidates (-35.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	77	9	86

Merged error: 0b

Counts

86 → 9

regimes138.0ms

Accuracy

92.5% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 7.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	60
1	28	60

end0.0ms

sample840.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	128	valid
236.0ms	7198×	body	128	invalid

Details

analyze331.0ms

sample30.0ms

simplify93.0ms

prune1.0ms

localize6.0ms

rewrite21.0ms

series467.0ms

simplify64.0ms

prune57.0ms

localize6.0ms

rewrite15.0ms

series433.0ms

simplify66.0ms

prune39.0ms

localize6.0ms

rewrite24.0ms

series394.0ms

simplify80.0ms

prune54.0ms

localize6.0ms

rewrite23.0ms

series513.0ms

simplify65.0ms

prune36.0ms

regimes138.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample840.0ms

Profiling