Details

analyze278.0ms

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_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 → 37

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
9.0ms	(*.f64 y (-.f64 z x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
79.0ms	(*.f64 y (-.f64 z x))

simplify57.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	482
1	4960	482

prune28.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64`
1×	`associate-+r-_binary64` `associate-+r+_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

series118.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
55.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5028	420

prune19.0ms

Filtered

25 candidates to 34 candidates (-36.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0.0b

Counts

36 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
2.6b	(-.f64 (.f64 z z) (.f64 x x))
6.3b	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
19.8b	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

rewrite37.0ms

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 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
4.0ms	(-.f64 (.f64 z z) (.f64 x x))
8.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
11.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

series428.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+.f64 x (/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x)))
39.0ms	(-.f64 (.f64 z z) (.f64 x x))
122.0ms	(.f64 y (-.f64 (.f64 z z) (*.f64 x x)))
170.0ms	(/.f64 (.f64 y (-.f64 (.f64 z z) (*.f64 x x))) (+.f64 z x))

simplify59.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5106	1233

prune45.0ms

Filtered

60 candidates to 86 candidates (-43.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 1 (-.f64 z x))))
0.0b	(/.f64 1 (-.f64 z x))
0.3b	(/.f64 y (/.f64 1 (-.f64 z x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `div-exp_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 155

Calls

3 calls:

26.0ms	(+.f64 x (/.f64 y (/.f64 1 (-.f64 z x))))
6.0ms	(/.f64 1 (-.f64 z x))
11.0ms	(/.f64 y (/.f64 1 (-.f64 z x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+.f64 x (/.f64 y (/.f64 1 (-.f64 z x))))
44.0ms	(/.f64 1 (-.f64 z x))
66.0ms	(/.f64 y (/.f64 1 (-.f64 z x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5457	2724

prune79.0ms

Filtered

96 candidates to 164 candidates (-70.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	164	3	167

Merged error: 0.0b

Counts

167 → 3

regimes32.0ms

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	37	13
1	37	13

end0.0ms

sample378.0ms

Algorithm

intervals

Results

187.0ms	8000×	body	128	valid
18.0ms	613×	body	128	invalid

Details

analyze278.0ms

sample14.0ms

simplify19.0ms

prune1.0ms

localize8.0ms

rewrite16.0ms

series134.0ms

simplify57.0ms

prune28.0ms

localize7.0ms

rewrite13.0ms

series118.0ms

simplify61.0ms

prune19.0ms

localize10.0ms

rewrite37.0ms

series428.0ms

simplify59.0ms

prune45.0ms

localize6.0ms

rewrite58.0ms

series167.0ms

simplify84.0ms

prune79.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample378.0ms

Profiling