Details

analyze924.0ms

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

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify239.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

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: 9.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
9.0b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite22.0ms

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))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z t))
20.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5975	485

prune71.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.0b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite35.0ms

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:

10.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
33.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	3157

prune148.0ms

Filtered

133 candidates to 200 candidates (-50.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	199	7	206

Merged error: 0b

Counts

206 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite27.0ms

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

series30.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5024	1163

prune87.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
0.0b	(/.f64 1 (-.f64 z t))
8.6b	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

rewrite82.0ms

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:

6.0ms	(/.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)))

series56.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (-.f64 a t))
5.0ms	(/.f64 1 (-.f64 z t))
42.0ms	(/.f64 (/.f64 y (-.f64 a t)) (/.f64 1 (-.f64 z t)))

simplify117.0ms

Algorithm

egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5067	12289

prune328.0ms

Filtered

299 candidates to 594 candidates (-98.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	593	1	594
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	594	6	600

Merged error: 0b

Counts

600 → 6

regimes499.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample607.0ms

Algorithm

intervals

Results

308.0ms	7999×	body	80	valid
26.0ms	742×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze924.0ms

sample23.0ms

simplify239.0ms

prune4.0ms

localize8.0ms

rewrite22.0ms

series28.0ms

simplify42.0ms

prune71.0ms

localize8.0ms

rewrite35.0ms

series44.0ms

simplify62.0ms

prune148.0ms

localize11.0ms

rewrite27.0ms

series30.0ms

simplify52.0ms

prune87.0ms

localize9.0ms

rewrite82.0ms

series56.0ms

simplify117.0ms

prune328.0ms

regimes499.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample607.0ms

Profiling