Details

analyze649.0ms

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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	63×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune3.0ms

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: 6.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
6.7b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
8.0ms	(*.f64 y (-.f64 z x))
17.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5612	574

prune44.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
6.3b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite42.0ms

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`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
6.0ms	(/.f64 t (-.f64 z x))
9.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
8.0ms	(/.f64 t (-.f64 z x))
18.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5039	2025

prune69.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	160	5	165

Merged error: 0.0b

Counts

165 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
7.2b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

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

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
15.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify38.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	583
1	4990	583

prune25.0ms

Filtered

41 candidates to 59 candidates (-43.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
0.0b	(/.f64 1 (-.f64 z x))
7.3b	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac_binary64`
387×	`*-un-lft-identity_binary64`
385×	`add-sqr-sqrt_binary64`
293×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
38×	`div-inv_binary64`
31×	`associate-/r/_binary64`
29×	`add-exp-log_binary64`
26×	`associate-/r*_binary64`
18×	`div-exp_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
15×	`flip3--_binary64` `flip--_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 384

Calls

3 calls:

62.0ms	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
6.0ms	(/.f64 1 (-.f64 z x))
16.0ms	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
5.0ms	(/.f64 1 (-.f64 z x))
21.0ms	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5062	6728

prune127.0ms

Filtered

213 candidates to 393 candidates (-84.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	393	5	398

Merged error: 0.0b

Counts

398 → 5

regimes216.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample588.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
66.0ms	2020×	body	80	invalid

Details

analyze649.0ms

sample22.0ms

simplify43.0ms

prune3.0ms

localize7.0ms

rewrite21.0ms

series38.0ms

simplify45.0ms

prune44.0ms

localize7.0ms

rewrite42.0ms

series38.0ms

simplify55.0ms

prune69.0ms

localize7.0ms

rewrite19.0ms

series28.0ms

simplify38.0ms

prune25.0ms

localize10.0ms

rewrite113.0ms

series38.0ms

simplify88.0ms

prune127.0ms

regimes216.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample588.0ms

Profiling