Details

analyze360.0ms

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	38×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	737	10
1	737	10

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.9b	(*.f64 (/.f64 x y) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-r_binary64` `associate-*l/_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

series17.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4964	468
1	4964	468

prune55.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
5.4b	(*.f64 x (/.f64 z y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
5.0ms	(*.f64 x (/.f64 z y))

simplify32.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4982	474
1	4982	474

prune52.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b	(.f64 x (.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
13.5b	(cbrt.f64 (/.f64 z y))
13.5b	(cbrt.f64 (/.f64 z y))
13.5b	(cbrt.f64 (/.f64 z y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
27×	`add-sqr-sqrt_binary64` `times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
7×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 x (.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
2.0ms	(cbrt.f64 (/.f64 z y))
2.0ms	(cbrt.f64 (/.f64 z y))
2.0ms	(cbrt.f64 (/.f64 z y))

series62.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 x (.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y))))
11.0ms	(cbrt.f64 (/.f64 z y))
12.0ms	(cbrt.f64 (/.f64 z y))
11.0ms	(cbrt.f64 (/.f64 z y))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5263	768

prune90.0ms

Filtered

77 candidates to 100 candidates (-29.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
5.4b	(*.f64 x (/.f64 z y))
5.4b	(*.f64 x (/.f64 z y))
5.4b	(*.f64 x (/.f64 z y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`associate-r_binary64`
30×	`times-frac_binary64`
29×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`associate-*r/_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `pow1/3_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

4 → 111

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
7.0ms	(*.f64 x (/.f64 z y))
7.0ms	(*.f64 x (/.f64 z y))
7.0ms	(*.f64 x (/.f64 z y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cbrt.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
5.0ms	(*.f64 x (/.f64 z y))
5.0ms	(*.f64 x (/.f64 z y))
5.0ms	(*.f64 x (/.f64 z y))

simplify39.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5006	1050

prune127.0ms

Filtered

89 candidates to 123 candidates (-38.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	122	6	128

Merged error: 0b

Counts

128 → 6

regimes271.0ms

Accuracy

65.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	39
1	72	39

end0.0ms

sample514.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
41.0ms	1128×	body	80	invalid

Details

analyze360.0ms

sample21.0ms

simplify42.0ms

prune9.0ms

localize11.0ms

rewrite17.0ms

series17.0ms

simplify42.0ms

prune55.0ms

localize8.0ms

rewrite17.0ms

series17.0ms

simplify32.0ms

prune52.0ms

localize12.0ms

rewrite20.0ms

series62.0ms

simplify50.0ms

prune90.0ms

localize13.0ms

rewrite33.0ms

series59.0ms

simplify39.0ms

prune127.0ms

regimes271.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample514.0ms

Profiling