Details

analyze24.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	230×	body	80	valid
1.0ms	12×	body	1280	valid
1.0ms	6×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	97	5
1	97	5

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 3/8 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5121	110

prune21.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 3/8 y))) (cbrt.f64 (-.f64 x (*.f64 3/8 y))))
25.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
25.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
29.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4823	1190
1	4823	1190

prune134.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `flip--_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

series112.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
27.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
25.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
34.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4806	778
1	4806	778

prune131.0ms

Filtered

63 candidates to 70 candidates (-11.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
18×	`unpow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64`
2×	`cbrt-div_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

series134.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 x (*.f64 3/8 y)))
36.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
37.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))
34.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 3/8 y))) 2))

simplify84.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4806	1054
1	4806	1054

prune157.0ms

Filtered

69 candidates to 82 candidates (-18.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	5
1	32	5

end0.0ms

sample336.0ms

Algorithm

intervals

Results

156.0ms	7393×	body	80	valid
22.0ms	202×	body	1280	valid
15.0ms	169×	body	640	valid
12.0ms	103×	body	2560	valid
5.0ms	86×	body	320	valid
2.0ms	47×	body	160	valid

Details

analyze24.0ms

sample14.0ms

simplify8.0ms

prune10.0ms

localize3.0ms

rewrite3.0ms

series5.0ms

simplify98.0ms

prune21.0ms

localize7.0ms

rewrite20.0ms

series114.0ms

simplify43.0ms

prune134.0ms

localize16.0ms

rewrite14.0ms

series112.0ms

simplify68.0ms

prune131.0ms

localize13.0ms

rewrite19.0ms

series134.0ms

simplify84.0ms

prune157.0ms

regimes102.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample336.0ms

Profiling