Details

analyze815.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample76.0ms

Algorithm

intervals

Results

34.0ms	92×	body	2560	valid
22.0ms	88×	body	1280	valid
8.0ms	41×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	2×	body	80	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5797	14

prune2.0ms

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
0.2b	(.f64 5.0 (.f64 v v))
0.4b	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64`
4×	`associate-/r*_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
5.0ms	(.f64 5.0 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0))
4.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(acos.f64 (/.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (-.f64 (*.f64 v v) 1.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4960	1050
1	4960	1050

prune73.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	3	73

Merged error: 0.4b

Counts

73 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0)))
0.2b	(.f64 5.0 (.f64 v v))
0.4b	(acos.f64 (.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
17×	`add-exp-log_binary64`
14×	`*-un-lft-identity_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
7×	`prod-exp_binary64`
6×	`associate-l_binary64`
5×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `unswap-sqr_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`acos-asin_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64`

Counts

3 → 72

Calls

3 calls:

14.0ms	(.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0)))
6.0ms	(.f64 5.0 (.f64 v v))
1.0ms	(acos.f64 (.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0))))

series15.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0)))
4.0ms	(.f64 5.0 (.f64 v v))
4.0ms	(acos.f64 (.f64 (-.f64 1.0 (.f64 5.0 (.f64 v v))) (/.f64 1 (-.f64 (.f64 v v) 1.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5224	1067

prune73.0ms

Filtered

55 candidates to 81 candidates (-47.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0.4b

Counts

84 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
0.4b	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`flip3-+_binary64` `acos-asin_binary64` `associate-r_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

9.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
1.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

series19.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0))
4.0ms	(acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5085	382

prune31.0ms

Filtered

21 candidates to 34 candidates (-61.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	35	2	37

Merged error: 0.4b

Counts

37 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0b	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (cbrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
1.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
6.0ms	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (cbrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
54.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
56.0ms	(cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0)))
76.0ms	(.f64 (cbrt.f64 (acos.f64 (-.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))) (cbrt.f64 (acos.f64 (-.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4.0)) 1.0))))

simplify39.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5155	1420

prune104.0ms

Filtered

51 candidates to 85 candidates (-66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	84	3	87

Merged error: 0.4b

Counts

87 → 3

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	16
1	55	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	3044×	body	2560	valid
673.0ms	2483×	body	1280	valid
247.0ms	1245×	body	640	valid
95.0ms	639×	body	320	valid
39.0ms	393×	body	160	valid
14.0ms	196×	body	80	valid
0.0ms	4×	body	80	nan

Details

analyze815.0ms

sample76.0ms

simplify104.0ms

prune2.0ms

localize7.0ms

rewrite19.0ms

series15.0ms

simplify64.0ms

prune73.0ms

localize10.0ms

rewrite23.0ms

series15.0ms

simplify49.0ms

prune73.0ms

localize7.0ms

rewrite11.0ms

series19.0ms

simplify32.0ms

prune31.0ms

localize12.0ms

rewrite11.0ms

series243.0ms

simplify39.0ms

prune104.0ms

regimes73.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.4s

Profiling