Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample80.0ms

Algorithm

intervals

Results

60.0ms	182×	body	1280	valid
8.0ms	46×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	4×	body	80	valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	4684	13
1	4684	13

prune9.0ms

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: 30.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
3.6b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_574` `add-log-exp_binary64_539`
4×	`add-sqr-sqrt_binary64_559` `frac-add_binary64_564`
3×	`flip3--_binary64_573` `flip--_binary64_600`
2×	`exp-diff_binary64_535` `add-cube-cbrt_binary64_545` `neg-sub0_binary64_580` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `exp-neg_binary64_534` `distribute-lft-out--_binary64_619` `diff-log_binary64_490` `sub-neg_binary64_578` `distribute-lft-out_binary64_618` `add-exp-log_binary64_538` `sum-log_binary64_489`
1×	`associate-+l-_binary64_628` `associate-+l+_binary64_626` `+-commutative_binary64_641` `flip3-+_binary64_572` `flip-+_binary64_599` `difference-of-squares_binary64_603`

Counts

2 → 33

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 x) 2)
8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series42.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (exp.f64 x) 2)
34.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5120	637

prune130.0ms

Filtered

33 candidates to 39 candidates (-18.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.0b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_559`
14×	`associate-r_binary64_633` `add-exp-log_binary64_538`
11×	`add-log-exp_binary64_539`
10×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
8×	`add-cbrt-cube_binary64_546` `unpow-prod-down_binary64_509`
6×	`associate-l_binary64_634` `unswap-sqr_binary64_602` `prod-exp_binary64_525`
4×	`pow1_binary64_520` `sqr-pow_binary64_606` `sum-log_binary64_489`
2×	`pow-to-exp_binary64_499` `+-commutative_binary64_641` `pow-exp_binary64_498` `flip3-+_binary64_572` `flip-+_binary64_599` `cbrt-unprod_binary64_543` `*-commutative_binary64_642`
1×	`associate-+r+_binary64_625`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
6.0ms	(*.f64 1/12 (pow.f64 x 4))

series174.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
83.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
34.0ms	(*.f64 1/360 (pow.f64 x 6))
29.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify90.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5365	1265

prune259.0ms

Filtered

56 candidates to 86 candidates (-53.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) -2)
0.0b	(pow.f64 (exp.f64 x) -3)
0.0b	(pow.f64 (+.f64 -2 (exp.f64 x)) 3)
3.5b	(+.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) -3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_574`
13×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
10×	`unpow-prod-down_binary64_509`
9×	`pow-pow_binary64_502` `pow-unpow_binary64_507`
7×	`pow1_binary64_520`
6×	`exp-prod_binary64_528` `add-log-exp_binary64_539`
5×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
4×	`cube-prod_binary64_547`
3×	`pow-to-exp_binary64_499` `sqr-pow_binary64_606` `pow-exp_binary64_498` `distribute-lft-out_binary64_618`
2×	`cube-div_binary64_548` `flip3-+_binary64_572` `flip-+_binary64_599`
1×	`+-commutative_binary64_641` `rem-cube-cbrt_binary64_550` `unpow3_binary64_518` `sum-log_binary64_489` `cube-mult_binary64_549`

Counts

4 → 79

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 x) -2)
3.0ms	(pow.f64 (exp.f64 x) -3)
5.0ms	(pow.f64 (+.f64 -2 (exp.f64 x)) 3)
14.0ms	(+.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) -3))

series232.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow.f64 (exp.f64 x) -2)
38.0ms	(pow.f64 (exp.f64 x) -3)
32.0ms	(pow.f64 (+.f64 -2 (exp.f64 x)) 3)
133.0ms	(+.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) (pow.f64 (exp.f64 x) -3))

simplify89.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5822	1108

prune224.0ms

Filtered

58 candidates to 91 candidates (-56.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3)
0.1b	(pow.f64 (exp.f64 x) -6)
0.1b	(pow.f64 (+.f64 -2 (exp.f64 x)) 6)
3.4b	(+.f64 (pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (exp.f64 x) -3) 3))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_574`
33×	`unpow-prod-down_binary64_509`
26×	`cube-prod_binary64_547`
16×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
10×	`distribute-lft-out_binary64_618`
9×	`pow-unpow_binary64_507`
7×	`add-exp-log_binary64_538`
6×	`pow1_binary64_520` `pow-exp_binary64_498` `pow-pow_binary64_502` `add-log-exp_binary64_539`
5×	`add-cbrt-cube_binary64_546` `sqr-pow_binary64_606`
4×	`pow-to-exp_binary64_499` `cube-div_binary64_548`
3×	`exp-prod_binary64_528` `unpow3_binary64_518` `cube-mult_binary64_549`
2×	`flip3-+_binary64_572` `flip-+_binary64_599`
1×	`sum-cubes_binary64_570` `+-commutative_binary64_641` `rem-cube-cbrt_binary64_550` `sum-log_binary64_489`

Counts

4 → 104

Calls

4 calls:

8.0ms	(pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3)
3.0ms	(pow.f64 (exp.f64 x) -6)
5.0ms	(pow.f64 (+.f64 -2 (exp.f64 x)) 6)
44.0ms	(+.f64 (pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (exp.f64 x) -3) 3))

series865.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3)
60.0ms	(pow.f64 (exp.f64 x) -6)
54.0ms	(pow.f64 (+.f64 -2 (exp.f64 x)) 6)
682.0ms	(+.f64 (pow.f64 (pow.f64 (+.f64 -2 (exp.f64 x)) 3) 3) (pow.f64 (pow.f64 (exp.f64 x) -3) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	6225	2025

prune318.0ms

Filtered

61 candidates to 116 candidates (-90.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0b

Counts

118 → 2

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s	5683×	body	1280	valid
238.0ms	1232×	body	640	valid
76.0ms	611×	body	320	valid
23.0ms	295×	body	160	valid
7.0ms	179×	body	80	valid

Details

analyze4.0ms

sample80.0ms

simplify196.0ms

prune9.0ms

localize10.0ms

rewrite14.0ms

series42.0ms

simplify67.0ms

prune130.0ms

localize15.0ms

rewrite28.0ms

series174.0ms

simplify90.0ms

prune259.0ms

localize24.0ms

rewrite27.0ms

series232.0ms

simplify89.0ms

prune224.0ms

localize44.0ms

rewrite64.0ms

series865.0ms

simplify56.0ms

prune318.0ms

regimes51.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.4s

Profiling