Details

analyze286.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune2.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y x) z)
9.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5046	303

prune30.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0b

Counts

40 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y x) z)) (cbrt.f64 (*.f64 (-.f64 y x) z)))
2.7b	(cbrt.f64 (*.f64 (-.f64 y x) z))
2.7b	(cbrt.f64 (*.f64 (-.f64 y x) z))
2.7b	(cbrt.f64 (*.f64 (-.f64 y x) z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_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` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y x) z)) (cbrt.f64 (*.f64 (-.f64 y x) z)))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))
6.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))

series174.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y x) z)) (cbrt.f64 (*.f64 (-.f64 y x) z)))
37.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))
37.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))
40.0ms	(cbrt.f64 (*.f64 (-.f64 y x) z))

simplify73.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4909	900
1	4909	900

prune48.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
55.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
53.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
56.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5470	1536

prune47.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
2.2b	(-.f64 (.f64 y y) (.f64 x x))
10.0b	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
16.6b	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`associate-/r_binary64` `associate-r_binary64` `associate-r/_binary64` `times-frac_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
4.0ms	(-.f64 (.f64 y y) (.f64 x x))
8.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
13.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))

series69.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x)))
7.0ms	(-.f64 (.f64 y y) (.f64 x x))
19.0ms	(.f64 z (-.f64 (.f64 y y) (*.f64 x x)))
25.0ms	(/.f64 (.f64 z (-.f64 (.f64 y y) (*.f64 x x))) (+.f64 y x))

simplify36.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5093	891

prune34.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	87	4	91

Merged error: 0b

Counts

91 → 4

regimes135.0ms

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	18	7
1	18	7

end0.0ms

sample391.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
13.0ms	566×	body	80	invalid

Details

analyze286.0ms

sample15.0ms

simplify15.0ms

prune2.0ms

localize5.0ms

rewrite13.0ms

series16.0ms

simplify47.0ms

prune30.0ms

localize9.0ms

rewrite28.0ms

series174.0ms

simplify73.0ms

prune48.0ms

localize10.0ms

rewrite22.0ms

series284.0ms

simplify79.0ms

prune47.0ms

localize10.0ms

rewrite36.0ms

series69.0ms

simplify36.0ms

prune34.0ms

regimes135.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample391.0ms

Profiling