Details

analyze60.0ms

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

sample13.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1.0 (.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 1.0 (*.f64 x y)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 1.0 (*.f64 x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune44.0ms

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 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

rewrite21.0ms

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:

10.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
62.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4965	1388
1	4965	1388

prune137.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
0.2b	(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1.0 (*.f64 x y)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
30×	`cbrt-div_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `swap-sqr_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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 → 101

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
13.0ms	(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1.0 (*.f64 x y)))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
56.0ms	(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1.0 (*.f64 x y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5040	1854

prune208.0ms

Filtered

91 candidates to 113 candidates (-24.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

rewrite22.0ms

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 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
63.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
61.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
62.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5006	1377

prune101.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes148.0ms

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	34	7
1	34	7

end0.0ms

sample305.0ms

Algorithm

intervals

Results

183.0ms	8000×	body	80	valid
2.0ms	98×	body	80	invalid

Details

analyze60.0ms

sample13.0ms

simplify14.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series8.0ms

simplify52.0ms

prune44.0ms

localize8.0ms

rewrite21.0ms

series209.0ms

simplify66.0ms

prune137.0ms

localize12.0ms

rewrite28.0ms

series196.0ms

simplify54.0ms

prune208.0ms

localize8.0ms

rewrite22.0ms

series266.0ms

simplify49.0ms

prune101.0ms

regimes148.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample305.0ms

Profiling