Details

analyze67.0ms

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune5.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
0.0b	(+.f64 (*.f64 x y) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
5.0ms	(+.f64 (*.f64 x y) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5115	268

prune31.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
5.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

series76.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (+.f64 y (+.f64 x (.f64 x y)))) (cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y)))))
16.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
19.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))
17.0ms	(cbrt.f64 (+.f64 y (+.f64 x (*.f64 x y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5377	1732

prune88.0ms

Filtered

83 candidates to 107 candidates (-28.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 y y)) x)
2.0b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.1b	(.f64 x (.f64 y y))
28.0b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 77

Calls

4 calls:

6.0ms	(-.f64 (.f64 x (.f64 y y)) x)
9.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))
14.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

series59.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (.f64 y y)) x)
15.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
8.0ms	(.f64 x (.f64 y y))
25.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5895	891

prune61.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample298.0ms

Algorithm

intervals

Results

172.0ms	7997×	body	80	valid
2.0ms	77×	body	80	invalid
0.0ms	3×	body	640	valid

Details

analyze67.0ms

sample12.0ms

simplify6.0ms

prune5.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify37.0ms

prune31.0ms

localize9.0ms

rewrite31.0ms

series76.0ms

simplify72.0ms

prune88.0ms

localize11.0ms

rewrite37.0ms

series59.0ms

simplify48.0ms

prune61.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample298.0ms

Profiling