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

sample72.0ms

Algorithm

intervals

Results

56.0ms	176×	body	1280	valid
8.0ms	46×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	6×	body	80	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4761	8
1	4761	8

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: 32.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.8b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite14.0ms

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)
9.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(-.f64 (exp.f64 x) 2)
6.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4830	394
1	4830	394

prune39.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

6.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
9.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
7.0ms	(*.f64 1/12 (pow.f64 x 4))

series29.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
7.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
4.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5022	849

prune54.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 x)) -2)
5.0b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`distribute-lft-out_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+r+_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)
8.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

series8.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(+.f64 (exp.f64 (neg.f64 x)) -2)
6.0ms	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

simplify56.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4971	307
1	4971	307

prune17.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3)
0.1b	(pow.f64 (exp.f64 x) 2)
0.1b	(pow.f64 (exp.f64 x) 3)
5.0b	(+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
18×	`unpow-prod-down_binary64`
15×	`distribute-lft-out_binary64` `cube-prod_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow-unpow_binary64` `pow-pow_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
2×	`flip3-+_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`unpow2_binary64` `sum-cubes_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 95

Calls

4 calls:

7.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3)
5.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)
16.0ms	(+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3)
3.0ms	(pow.f64 (exp.f64 x) 2)
5.0ms	(pow.f64 (exp.f64 x) 3)
23.0ms	(+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 (neg.f64 x)) -2) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4962	879
1	4962	879

prune60.0ms

Filtered

59 candidates to 107 candidates (-81.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

regimes19.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	15
1	16	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.8s	5656×	body	1280	valid
228.0ms	1245×	body	640	valid
70.0ms	631×	body	320	valid
21.0ms	299×	body	160	valid
6.0ms	169×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample72.0ms

simplify72.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series7.0ms

simplify73.0ms

prune39.0ms

localize9.0ms

rewrite30.0ms

series29.0ms

simplify57.0ms

prune54.0ms

localize8.0ms

rewrite16.0ms

series8.0ms

simplify56.0ms

prune17.0ms

localize14.0ms

rewrite35.0ms

series38.0ms

simplify46.0ms

prune60.0ms

regimes19.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling