Details

analyze85.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4828	17
1	4828	17

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (.f64 b b)))
0.0b	(.f64 4.0 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `associate-r_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(+.f64 (.f64 a a) (.f64 b b))
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (.f64 b b)))
6.0ms	(.f64 4.0 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)

series55.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+.f64 (.f64 a a) (.f64 b b))
17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (.f64 b b)))
4.0ms	(.f64 4.0 (.f64 b b))
27.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5424	778

prune81.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Merged error: 0b

Counts

71 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b))))
0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
2.6b	(.f64 (.f64 a a) (*.f64 b b))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 67

Calls

3 calls:

8.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b))))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 a a) (.f64 b b))))
9.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
8.0ms	(.f64 (.f64 a a) (*.f64 b b))

simplify30.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5479	665

prune55.0ms

Filtered

39 candidates to 76 candidates (-94.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))) (.f64 4.0 (.f64 b b)))
0.0b	(.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4.0 (.f64 b b))
2.6b	(.f64 (.f64 a a) (*.f64 b b))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1_binary64`
39×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`pow-prod-down_binary64`
24×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-log-exp_binary64`
7×	`associate-l_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`associate-r_binary64` `sum-log_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `pow-sqr_binary64` `pow2_binary64`
1×	`flip3-+_binary64` `associate-+l+_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (pow.f64 b 4) (.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))) (.f64 4.0 (.f64 b b)))
12.0ms	(.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))
6.0ms	(.f64 4.0 (.f64 b b))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))

series34.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (+.f64 (pow.f64 b 4) (.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))) (.f64 4.0 (.f64 b b)))
9.0ms	(.f64 2.0 (.f64 (.f64 a a) (.f64 b b)))
4.0ms	(.f64 4.0 (.f64 b b))
8.0ms	(.f64 (.f64 a a) (*.f64 b b))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	899
1	4940	899

prune69.0ms

Filtered

55 candidates to 100 candidates (-81.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes103.0ms

Accuracy

98.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	46
1	44	46

end0.0ms

sample497.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze85.0ms

sample18.0ms

simplify79.0ms

prune5.0ms

localize14.0ms

rewrite25.0ms

series55.0ms

simplify38.0ms

prune81.0ms

localize11.0ms

rewrite32.0ms

series28.0ms

simplify30.0ms

prune55.0ms

localize11.0ms

rewrite41.0ms

series34.0ms

simplify50.0ms

prune69.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample497.0ms

Profiling