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

sample102.0ms

Algorithm

intervals

Results

76.0ms	139×	body	2048	valid
14.0ms	59×	body	1024	valid
5.0ms	36×	body	512	valid
1.0ms	11×	body	256	valid
0.0ms	11×	body	128	valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4665	13
1	4665	13

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: 28.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
2.2b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`frac-add_binary64` `add-sqr-sqrt_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `neg-sub0_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64` `exp-neg_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64`

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)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(-.f64 (exp.f64 x) 2)
59.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4944	637
1	4944	637

prune43.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

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

localize9.0ms

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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64` `add-exp-log_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`associate-+r+_binary64`

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))))
5.0ms	(+.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))

series366.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
193.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
63.0ms	(*.f64 1/360 (pow.f64 x 6))
54.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify72.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5108	1259

prune69.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64` `add-exp-log_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
4.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
8.0ms	(*.f64 1/12 (pow.f64 x 4))

series377.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
210.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
63.0ms	(*.f64 1/360 (pow.f64 x 6))
48.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4899	1217
1	4899	1217

prune71.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(pow.f64 (exp.f64 x) 3)
2.6b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-cbrt-cube_binary64`
8×	`associate-r_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`associate-*r/_binary64` `pow-pow_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `flip-+_binary64` `exp-prod_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

4 → 85

Calls

4 calls:

14.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
7.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

series355.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3))))
83.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
36.0ms	(pow.f64 (exp.f64 x) 3)
129.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5109	1736

prune95.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

regimes14.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.4s	4179×	body	2048	valid
497.0ms	1992×	body	1024	valid
131.0ms	980×	body	512	valid
40.0ms	496×	body	256	valid
15.0ms	353×	body	128	valid
0.0ms	1×	body	128	invalid

Details

analyze4.0ms

sample102.0ms

simplify116.0ms

prune1.0ms

localize10.0ms

rewrite15.0ms

series75.0ms

simplify54.0ms

prune43.0ms

localize9.0ms

rewrite30.0ms

series366.0ms

simplify72.0ms

prune69.0ms

localize9.0ms

rewrite31.0ms

series377.0ms

simplify49.0ms

prune71.0ms

localize14.0ms

rewrite37.0ms

series355.0ms

simplify64.0ms

prune95.0ms

regimes14.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling