Details

analyze700.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample22.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4858	13
1	4858	13

prune13.0ms

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: 2.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

4.4b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.3b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series31.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
7.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5062	827

prune45.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	63	3	66

Merged error: 0b

Counts

66 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

4.4b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
4.9b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
31×	`times-frac_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `associate-l_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `associate-/r/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 79

Calls

2 calls:

5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
11.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

series31.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
6.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5020	970

prune47.0ms

Filtered

63 candidates to 85 candidates (-34.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y))
4.3b	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y)
5.3b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac_binary64`
101×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
69×	`add-cube-cbrt_binary64`
28×	`add-exp-log_binary64`
23×	`associate-/r*_binary64`
22×	`add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`div-exp_binary64`
9×	`associate-/l*_binary64`
8×	`cbrt-undiv_binary64`
7×	`div-inv_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 159

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y))
8.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y)
8.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y))
11.0ms	(/.f64 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))) y)
7.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify66.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4959	2803
1	4959	2803

prune82.0ms

Filtered

100 candidates to 168 candidates (-68.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Merged error: 0b

Counts

171 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

1.3b	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
19.0b	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
11.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

series37.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
28.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5917	587

prune25.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Merged error: 0b

Counts

45 → 3

regimes228.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	13
1	61	13

end0.0ms

sample599.0ms

Algorithm

intervals

Results

385.0ms

8000×

body

valid

Details

analyze700.0ms

sample22.0ms

simplify64.0ms

prune13.0ms

localize9.0ms

rewrite15.0ms

series31.0ms

simplify37.0ms

prune45.0ms

localize11.0ms

rewrite19.0ms

series31.0ms

simplify42.0ms

prune47.0ms

localize10.0ms

rewrite34.0ms

series28.0ms

simplify66.0ms

prune82.0ms

localize13.0ms

rewrite18.0ms

series37.0ms

simplify52.0ms

prune25.0ms

regimes228.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample599.0ms

Profiling