Details

analyze1.2s

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

sample106.0ms

Algorithm

intervals

Results

28.0ms	47×	body	1280	valid
14.0ms	146×	body	80	valid
14.0ms	15×	body	2560	valid
11.0ms	27×	body	640	valid
7.0ms	79×	body	80	nan
4.0ms	15×	body	320	valid
4.0ms	41×	body	80	invalid
2.0ms	6×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune13.0ms

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: 20.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3.0))
0.2b	(.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)
23.6b	(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:

5.0ms	(/.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)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 a (*.f64 b 3.0))
40.0ms	(.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)
13.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune214.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	62	21	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	21	84

Merged error: 17.1b

Counts

84 → 21

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))
0.4b	(/.f64 t (sqrt.f64 3.0))
0.4b	(/.f64 z (sqrt.f64 3.0))
24.0b	(cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
84×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`sqrt-prod_binary64`
22×	`associate-r_binary64` `associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-/r*_binary64`
9×	`unswap-sqr_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-r/_binary64` `cos-diff_binary64` `cos-sum_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 160

Calls

4 calls:

18.0ms	(*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))
5.0ms	(/.f64 t (sqrt.f64 3.0))
5.0ms	(/.f64 z (sqrt.f64 3.0))
4.0ms	(cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))
8.0ms	(/.f64 t (sqrt.f64 3.0))
7.0ms	(/.f64 z (sqrt.f64 3.0))
26.0ms	(cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3.0)) (/.f64 t (sqrt.f64 3.0)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4958	1486
1	4958	1486

prune353.0ms

Filtered

108 candidates to 172 candidates (-59.3%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	155	17	172
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	160	33	193

Merged error: 16.8b

Counts

193 → 33

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3.0))
0.2b	(.f64 (.f64 2.0 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3.0)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3.0))))))
27.6b	(cos.f64 (*.f64 z (/.f64 t 3.0)))
28.4b	(sin.f64 (*.f64 z (/.f64 t 3.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `associate-r/_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r_binary64` `cos-mult_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `sin-mult_binary64` `div-inv_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(/.f64 a (*.f64 b 3.0))
11.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3.0)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3.0))))))
2.0ms	(cos.f64 (*.f64 z (/.f64 t 3.0)))
2.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 a (*.f64 b 3.0))
74.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (+.f64 (.f64 (cos.f64 y) (cos.f64 (.f64 z (/.f64 t 3.0)))) (.f64 (sin.f64 y) (sin.f64 (.f64 z (/.f64 t 3.0))))))
4.0ms	(cos.f64 (*.f64 z (/.f64 t 3.0)))
5.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5015	1038

prune274.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	4	28	32
Picked	1	0	1
Done	0	0	0
Total	67	36	103

Merged error: 16.7b

Counts

103 → 36

localize40.0ms

Local error

Found 4 expressions with local error:

28.4b	(sin.f64 (*.f64 z (/.f64 t 3.0)))
28.4b	(sin.f64 (*.f64 z (/.f64 t 3.0)))
28.4b	(sin.f64 (*.f64 z (/.f64 t 3.0)))
28.4b	(sin.f64 (*.f64 z (/.f64 t 3.0)))

rewrite9.0ms

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`

Counts

4 → 28

Calls

4 calls:

2.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
2.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
2.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
2.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
5.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
5.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))
7.0ms	(sin.f64 (*.f64 z (/.f64 t 3.0)))

simplify134.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4740	300
1	4740	300

prune116.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	2	33	35
Picked	1	0	1
Done	0	0	0
Total	39	37	76

Merged error: 16.7b

Counts

76 → 37

regimes4.4s

Accuracy

52.7% (1.9b remaining)

Error of 18.3b against oracle of 16.4b and baseline of 20.4b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	134	64
1	134	64

end0.0ms

sample2.6s

Algorithm

intervals

Results

790.0ms	1616×	body	1280	valid
353.0ms	4415×	body	80	valid
326.0ms	956×	body	640	valid
268.0ms	352×	body	2560	valid
185.0ms	2352×	body	80	nan
116.0ms	460×	body	320	valid
91.0ms	1148×	body	80	invalid
36.0ms	201×	body	160	valid

Details

analyze1.2s

sample106.0ms

simplify45.0ms

prune13.0ms

localize16.0ms

rewrite24.0ms

series60.0ms

simplify48.0ms

prune214.0ms

localize19.0ms

rewrite41.0ms

series58.0ms

simplify76.0ms

prune353.0ms

localize24.0ms

rewrite23.0ms

series88.0ms

simplify42.0ms

prune274.0ms

localize40.0ms

rewrite9.0ms

series21.0ms

simplify134.0ms

prune116.0ms

regimes4.4s

bsearch3.0ms

simplify3.0ms

end0.0ms

sample2.6s

Profiling