Details

analyze937.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
1.0ms	28×	body	80	invalid
0.0ms	1×	body	320	valid

simplify249.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	5600	11

prune4.0ms

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: 11.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
10.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_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`

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series29.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 z t))
20.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5975	485

prune67.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Merged error: 0.0b

Counts

60 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
16.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
20.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5024	1163

prune85.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.3b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
37.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5078	3157

prune140.0ms

Filtered

133 candidates to 200 candidates (-50.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	201	4	205

Merged error: 0.0b

Counts

205 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
0.0b	(/.f64 1 (-.f64 z t))
10.9b	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac_binary64`
699×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
419×	`add-cube-cbrt_binary64`
140×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
93×	`associate-/r/_binary64`
47×	`div-inv_binary64`
46×	`flip3--_binary64` `flip--_binary64`
31×	`associate-/r*_binary64` `add-exp-log_binary64`
27×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64` `div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/l/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 585

Calls

3 calls:

5.0ms	(/.f64 y (-.f64 a t))
6.0ms	(/.f64 1 (-.f64 z t))
22.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (-.f64 a t))
12.0ms	(/.f64 1 (-.f64 z t))
33.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

simplify119.0ms

Algorithm

egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5067	12289

prune333.0ms

Filtered

298 candidates to 594 candidates (-99.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	594	0	594
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	594	4	598

Merged error: 0.0b

Counts

598 → 4

regimes324.0ms

Accuracy

59.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch26.0ms

Steps

Iters	Range		Point
7	7.092666504979075e-93	3.8705227125424864e-91	1.0004809981351819e-91
5	-2.9819104114687414e-39	-1.2102695073600544e-39	-2.4894281283083287e-39

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	33
1	59	33

end0.0ms

sample638.0ms

Algorithm

intervals

Results

311.0ms	7998×	body	80	valid
25.0ms	705×	body	80	invalid
0.0ms	2×	body	320	valid

Details

analyze937.0ms

sample25.0ms

simplify249.0ms

prune4.0ms

localize9.0ms

rewrite23.0ms

series29.0ms

simplify46.0ms

prune67.0ms

localize8.0ms

rewrite29.0ms

series31.0ms

simplify53.0ms

prune85.0ms

localize8.0ms

rewrite32.0ms

series48.0ms

simplify60.0ms

prune140.0ms

localize10.0ms

rewrite83.0ms

series53.0ms

simplify119.0ms

prune333.0ms

regimes324.0ms

bsearch26.0ms

simplify2.0ms

end0.0ms

sample638.0ms

Profiling