Details

analyze5.0ms

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

sample93.0ms

Algorithm

intervals

Results

76.0ms	191×	body	1280	valid
7.0ms	33×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	6×	body	80	valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4748	13
1	4748	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: 28.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
4.2b	(+.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)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (exp.f64 x) 2)
29.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4880	627
1	4880	627

prune49.0ms

Filtered

28 candidates to 39 candidates (-39.3%)

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

localize10.0ms

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))

rewrite26.0ms

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:

9.0ms	(+.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)))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/12 (pow.f64 x 4))

series168.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
82.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
31.0ms	(*.f64 1/360 (pow.f64 x 6))
28.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify92.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5109	1259

prune72.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize10.0ms

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))

rewrite26.0ms

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

series178.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4)))
89.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
31.0ms	(*.f64 1/360 (pow.f64 x 6))
29.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4900	1217
1	4900	1217

prune69.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
29.0b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))))
29.0b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64` `add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64` `sqrt-div_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

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

series218.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(*.f64 1/360 (pow.f64 x 6))
29.0ms	(*.f64 1/12 (pow.f64 x 4))
80.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))))
75.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6))))

simplify81.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4967	1287
1	4967	1287

prune115.0ms

Filtered

65 candidates to 92 candidates (-41.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes10.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	41
1	19	41

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.9s	5704×	body	1280	valid
232.0ms	1222×	body	640	valid
80.0ms	637×	body	320	valid
22.0ms	295×	body	160	valid
6.0ms	142×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze5.0ms

sample93.0ms

simplify110.0ms

prune1.0ms

localize6.0ms

rewrite14.0ms

series37.0ms

simplify94.0ms

prune49.0ms

localize10.0ms

rewrite26.0ms

series168.0ms

simplify92.0ms

prune72.0ms

localize10.0ms

rewrite26.0ms

series178.0ms

simplify58.0ms

prune69.0ms

localize13.0ms

rewrite21.0ms

series218.0ms

simplify81.0ms

prune115.0ms

regimes10.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.3s

Profiling