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

sample73.0ms

Algorithm

intervals

Results

53.0ms	166×	body	1280	valid
10.0ms	55×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	8×	body	80	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

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: 34.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
3.3b	(+.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)
8.0ms	(+.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)
5.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4830	394
1	4830	394

prune48.0ms

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

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

rewrite27.0ms

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))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
12.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
4.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5022	849

prune84.0ms

Filtered

55 candidates to 86 candidates (-56.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
0.0b	(+.f64 (+.f64 (.f64 x x) (.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))

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:

5.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
8.0ms	(+.f64 (+.f64 (.f64 x x) (.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))

series30.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
6.0ms	(+.f64 (+.f64 (.f64 x x) (.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))

simplify36.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4849	821
1	4849	821

prune80.0ms

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	1	2	3
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))

simplify59.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	307
1	4971	307

prune23.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

37 → 4

regimes30.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b 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

sample2.3s

Algorithm

intervals

Results

1.9s	5641×	body	1280	valid
232.0ms	1268×	body	640	valid
73.0ms	638×	body	320	valid
21.0ms	281×	body	160	valid
7.0ms	172×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample73.0ms

simplify74.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series7.0ms

simplify77.0ms

prune48.0ms

localize10.0ms

rewrite27.0ms

series28.0ms

simplify57.0ms

prune84.0ms

localize10.0ms

rewrite26.0ms

series30.0ms

simplify36.0ms

prune80.0ms

localize6.0ms

rewrite14.0ms

series8.0ms

simplify59.0ms

prune23.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling