Details

analyze57.0ms

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

prune1.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1 (.f64 x 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×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(*.f64 x (-.f64 1 (*.f64 x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4887	308
1	4887	308

prune24.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))

rewrite30.0ms

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:

11.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

334.0ms	(.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) (cbrt.f64 (-.f64 1 (*.f64 x y))))
303.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
297.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
315.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4956	2041
1	4956	2041

prune127.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
0.2b	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
14×	`cbrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
3.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
280.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
297.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))
309.0ms	(cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4948	1533
1	4948	1533

prune156.0ms

Filtered

69 candidates to 73 candidates (-5.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1 (*.f64 x y)))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
4.9b	(cbrt.f64 (-.f64 1 (.f64 (.f64 x y) (*.f64 x y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1_binary64`
17×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
2×	`pow-plus_binary64` `difference-of-squares_binary64`
1×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
3.0ms	(cbrt.f64 (-.f64 1 (.f64 (.f64 x y) (*.f64 x y))))

series799.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
293.0ms	(cbrt.f64 (-.f64 1 (*.f64 x y)))
46.0ms	(.f64 (.f64 x y) (*.f64 x y))
170.0ms	(cbrt.f64 (-.f64 1 (.f64 (.f64 x y) (*.f64 x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5236	1123

prune93.0ms

Filtered

58 candidates to 87 candidates (-50.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

regimes69.0ms

Accuracy

0% (0.1b 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	35	10
1	35	10

end0.0ms

sample306.0ms

Algorithm

intervals

Results

173.0ms	8000×	body	128	valid
2.0ms	89×	body	128	invalid

Details

analyze57.0ms

sample11.0ms

simplify17.0ms

prune1.0ms

localize4.0ms

rewrite7.0ms

series66.0ms

simplify62.0ms

prune24.0ms

localize8.0ms

rewrite30.0ms

series1.2s

simplify75.0ms

prune127.0ms

localize12.0ms

rewrite21.0ms

series1.2s

simplify54.0ms

prune156.0ms

localize15.0ms

rewrite28.0ms

series799.0ms

simplify49.0ms

prune93.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample306.0ms

Profiling