Details

analyze563.0ms

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

7.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4958	297
1	4958	297

prune23.0ms

Filtered

17 candidates to 23 candidates (-35.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	6	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	7	24

Merged error: 0.0b

Counts

24 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

series479.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
111.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
112.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
115.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5538	1777

prune84.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (-.f64 (*.f64 x y) z))
0.7b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
21.9b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `add-log-exp_binary64` `difference-of-squares_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
2×	`unpow2_binary64` `sqr-pow_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `flip-+_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
5.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
5.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
126.0ms	(cbrt.f64 (-.f64 (*.f64 x y) z))
51.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
100.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

simplify93.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4937	1196
1	4937	1196

prune87.0ms

Filtered

60 candidates to 68 candidates (-13.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
9.2b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
21.9b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
21.9b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
15×	`flip3--_binary64` `flip--_binary64`
12×	`cbrt-prod_binary64`
9×	`difference-of-squares_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/l/_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `frac-times_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-l/_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64`
2×	`pow1/3_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
27.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
5.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
5.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
198.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
97.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
106.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4952	2693
1	4952	2693

prune124.0ms

Filtered

77 candidates to 95 candidates (-23.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample533.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
51.0ms	1799×	body	80	invalid

Details

analyze563.0ms

sample23.0ms

simplify12.0ms

prune2.0ms

localize6.0ms

rewrite7.0ms

series35.0ms

simplify84.0ms

prune23.0ms

localize10.0ms

rewrite27.0ms

series479.0ms

simplify69.0ms

prune84.0ms

localize19.0ms

rewrite19.0ms

series390.0ms

simplify93.0ms

prune87.0ms

localize22.0ms

rewrite45.0ms

series453.0ms

simplify76.0ms

prune124.0ms

regimes117.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample533.0ms

Profiling