Details

analyze346.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune9.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
10.0ms	(*.f64 x (+.f64 y z))

simplify57.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4828	320
1	4828	320

prune66.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0b	(*.f64 (-.f64 x 1) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-l*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`difference-of-squares_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
9.0ms	(*.f64 (-.f64 x 1) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
4.0ms	(*.f64 (-.f64 x 1) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5199	320

prune35.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
3.2b	(cbrt.f64 (*.f64 x (+.f64 y z)))
3.2b	(cbrt.f64 (*.f64 x (+.f64 y z)))
3.2b	(cbrt.f64 (*.f64 x (+.f64 y z)))

rewrite26.0ms

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 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
5.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
7.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (cbrt.f64 (*.f64 x (+.f64 y z))))
26.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
26.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))
26.0ms	(cbrt.f64 (*.f64 x (+.f64 y z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5119	779

prune65.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3)) z)
0.0b	(*.f64 x (+.f64 y z))
0.3b	(pow.f64 (*.f64 x (+.f64 y z)) 3)
34.8b	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`cbrt-prod_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`associate-r_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `sqr-pow_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-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` `sub-neg_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3)) z)
6.0ms	(*.f64 x (+.f64 y z))
6.0ms	(pow.f64 (*.f64 x (+.f64 y z)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3)) z)
10.0ms	(*.f64 x (+.f64 y z))
23.0ms	(pow.f64 (*.f64 x (+.f64 y z)) 3)
12.0ms	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5101	783

prune61.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample419.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
17.0ms	628×	body	80	invalid

Details

analyze346.0ms

sample16.0ms

simplify16.0ms

prune9.0ms

localize6.0ms

rewrite14.0ms

series18.0ms

simplify57.0ms

prune66.0ms

localize11.0ms

rewrite17.0ms

series11.0ms

simplify47.0ms

prune35.0ms

localize9.0ms

rewrite26.0ms

series119.0ms

simplify39.0ms

prune65.0ms

localize8.0ms

rewrite33.0ms

series53.0ms

simplify52.0ms

prune61.0ms

regimes176.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample419.0ms

Profiling