Details

analyze254.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 y (+.f64 z x))
8.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune41.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
0.6b	(cbrt.f64 (+.f64 x z))
0.6b	(cbrt.f64 (+.f64 x z))
0.6b	(cbrt.f64 (+.f64 z x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
3.0ms	(cbrt.f64 (+.f64 x z))
3.0ms	(cbrt.f64 (+.f64 x z))
3.0ms	(cbrt.f64 (+.f64 z x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 (cbrt.f64 (+.f64 x z)) (cbrt.f64 (+.f64 x z)))
33.0ms	(cbrt.f64 (+.f64 x z))
40.0ms	(cbrt.f64 (+.f64 x z))
34.0ms	(cbrt.f64 (+.f64 z x))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4889	995
1	4889	995

prune90.0ms

Filtered

83 candidates to 107 candidates (-28.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0b

Counts

111 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.3b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
34.6b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-l_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` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 y (+.f64 x z))
10.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
14.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

simplify24.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5088	725

prune65.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.9b	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
3.6b	(-.f64 (.f64 x x) (.f64 z x))
7.6b	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
33.7b	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sum-cubes_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

18.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
4.0ms	(-.f64 (.f64 x x) (.f64 z x))
18.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
22.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
6.0ms	(-.f64 (.f64 x x) (.f64 z x))
27.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
54.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4985	1127
1	4985	1127

prune77.0ms

Filtered

62 candidates to 94 candidates (-51.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes178.0ms

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	9	7
1	9	7

end0.0ms

sample365.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
15.0ms	611×	body	80	invalid

Details

analyze254.0ms

sample16.0ms

simplify6.0ms

prune5.0ms

localize5.0ms

rewrite11.0ms

series15.0ms

simplify63.0ms

prune41.0ms

localize11.0ms

rewrite23.0ms

series154.0ms

simplify70.0ms

prune90.0ms

localize8.0ms

rewrite22.0ms

series39.0ms

simplify24.0ms

prune65.0ms

localize15.0ms

rewrite66.0ms

series96.0ms

simplify46.0ms

prune77.0ms

regimes178.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample365.0ms

Profiling