Details

analyze353.0ms

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

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	220×	body	80	invalid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4863	12
1	4863	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: 9.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
8.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite16.0ms

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)
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series213.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(cosh.f64 x)
71.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
115.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify103.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4953	985
1	4953	985

prune55.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
6.7b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite12.0ms

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)
6.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(cosh.f64 x)
60.0ms	(*.f64 (cosh.f64 x) y)
121.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

simplify81.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4989	672
1	4989	672

prune33.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	60	8	68

Merged error: 0.0b

Counts

68 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(/.f64 (cosh.f64 x) x)
6.1b	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

rewrite18.0ms

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)
10.0ms	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

series212.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(cosh.f64 x)
49.0ms	(/.f64 (cosh.f64 x) x)
135.0ms	(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

simplify92.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4975	1330
1	4975	1330

prune53.0ms

Filtered

73 candidates to 95 candidates (-30.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	94	9	103

Merged error: 0b

Counts

103 → 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))
6.0b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)

rewrite17.0ms

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

series241.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(cosh.f64 x)
95.0ms	(*.f64 (cosh.f64 x) (/.f64 y z))
119.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4950	991
1	4950	991

prune36.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	77	9	86

Merged error: 0b

Counts

86 → 9

regimes159.0ms

Accuracy

96.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	60
1	23	60

end0.0ms

sample800.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
231.0ms	7084×	body	80	invalid

Details

analyze353.0ms

sample26.0ms

simplify133.0ms

prune1.0ms

localize6.0ms

rewrite16.0ms

series213.0ms

simplify103.0ms

prune55.0ms

localize8.0ms

rewrite12.0ms

series207.0ms

simplify81.0ms

prune33.0ms

localize6.0ms

rewrite18.0ms

series212.0ms

simplify92.0ms

prune53.0ms

localize6.0ms

rewrite17.0ms

series241.0ms

simplify84.0ms

prune36.0ms

regimes159.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample800.0ms

Profiling