Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample80.0ms

Algorithm

intervals

Results

19.0ms	42×	body	1280	valid
15.0ms	157×	body	80	valid
8.0ms	11×	body	2560	valid
8.0ms	25×	body	640	valid
5.0ms	66×	body	80	nan
4.0ms	16×	body	320	valid
2.0ms	28×	body	80	invalid
1.0ms	5×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.1b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3.0))
0.3b	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
0.4b	(/.f64 (*.f64 z t) 3.0)
22.0b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `cos-diff_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `cos-sum_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

4.0ms	(/.f64 a (*.f64 b 3.0))
7.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
5.0ms	(/.f64 (*.f64 z t) 3.0)
6.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 a (*.f64 b 3.0))
38.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
4.0ms	(/.f64 (*.f64 z t) 3.0)
15.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune198.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	64	19	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	19	84

Merged error: 13.9b

Counts

84 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 z t) 3.0)
2.6b	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
25.9b	(sin.f64 (/.f64 (*.f64 z t) 3.0))
26.1b	(cos.f64 (/.f64 (*.f64 z t) 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow-prod-down_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `sin-mult_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(/.f64 (*.f64 z t) 3.0)
10.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
4.0ms	(sin.f64 (/.f64 (*.f64 z t) 3.0))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))

series59.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 (*.f64 z t) 3.0)
45.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
5.0ms	(sin.f64 (/.f64 (*.f64 z t) 3.0))
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4985	686
1	4985	686

prune214.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	65	24	89

Merged error: 13.5b

Counts

89 → 24

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 z t) 3.0)
2.6b	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
26.1b	(cos.f64 (/.f64 (*.f64 z t) 3.0))
26.1b	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow-prod-down_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `sin-mult_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(/.f64 (*.f64 z t) 3.0)
10.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))
3.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 z t) 3.0)
77.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))
13.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	686
1	4977	686

prune229.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	1	22	23
Picked	1	0	1
Done	0	0	0
Total	66	28	94

Merged error: 13.5b

Counts

94 → 28

localize33.0ms

Local error

Found 4 expressions with local error:

14.4b	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
14.4b	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
26.1b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))
26.1b	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 34

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
4.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
5.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))
3.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
20.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
11.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))
13.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

simplify122.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4782	322
1	4782	322

prune80.0ms

Filtered

35 candidates to 46 candidates (-31.4%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	26	27
Picked	1	0	1
Done	0	0	0
Total	43	31	74

Merged error: 13.4b

Counts

74 → 31

regimes4.0s

Accuracy

55.3% (1.8b remaining)

Error of 18.0b against oracle of 16.2b and baseline of 20.2b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	86
1	117	86

end0.0ms

sample2.5s

Algorithm

intervals

Results

734.0ms	1569×	body	1280	valid
341.0ms	4419×	body	80	valid
318.0ms	961×	body	640	valid
301.0ms	381×	body	2560	valid
166.0ms	2213×	body	80	nan
120.0ms	472×	body	320	valid
82.0ms	1087×	body	80	invalid
34.0ms	198×	body	160	valid

Details

analyze1.1s

sample80.0ms

simplify42.0ms

prune9.0ms

localize15.0ms

rewrite24.0ms

series62.0ms

simplify47.0ms

prune198.0ms

localize24.0ms

rewrite23.0ms

series59.0ms

simplify57.0ms

prune214.0ms

localize30.0ms

rewrite22.0ms

series98.0ms

simplify57.0ms

prune229.0ms

localize33.0ms

rewrite17.0ms

series64.0ms

simplify122.0ms

prune80.0ms

regimes4.0s

bsearch2.0ms

simplify3.0ms

end0.0ms

sample2.5s

Profiling