Details

analyze667.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
7.0ms	72×	body	128	invalid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 26

Calls

2 calls:

4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

series149.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
74.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

simplify59.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5936	410

prune25.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`distribute-lft-out_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5173	312

prune14.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

series1.2s

Counts

4 → 12

Calls

4 calls:

367.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
291.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
288.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
279.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4965	1213
1	4965	1213

prune70.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

88 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3)
31.1b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))
9.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3))

series646.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 d3)))
481.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3)
94.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 d3))) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5232	1079

prune43.0ms

Filtered

51 candidates to 76 candidates (-49.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	22
1	52	22

end0.0ms

sample647.0ms

Algorithm

intervals

Results

301.0ms	8000×	body	128	valid
91.0ms	2392×	body	128	invalid

Details

analyze667.0ms

sample27.0ms

simplify81.0ms

prune3.0ms

localize10.0ms

rewrite13.0ms

series149.0ms

simplify59.0ms

prune25.0ms

localize7.0ms

rewrite11.0ms

series77.0ms

simplify47.0ms

prune14.0ms

localize14.0ms

rewrite33.0ms

series1.2s

simplify57.0ms

prune70.0ms

localize11.0ms

rewrite26.0ms

series646.0ms

simplify37.0ms

prune43.0ms

regimes62.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample647.0ms

Profiling