Details

analyze861.0ms

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
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	79×	body	128	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

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: 5.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
6.9b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_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` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `times-frac_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_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`

Counts

3 → 60

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series292.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(*.f64 y (-.f64 z t))
112.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
113.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5153	904

prune49.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0b

Counts

70 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
0.4b	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
6.9b	(/.f64 a (*.f64 y (-.f64 z t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac_binary64`
37×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
12×	`associate-*r/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`div-exp_binary64`
7×	`pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`associate-r_binary64`
4×	`prod-exp_binary64` `difference-of-squares_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 z t))
15.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
10.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
7.0ms	(/.f64 a (*.f64 y (-.f64 z t)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(*.f64 y (-.f64 z t))
112.0ms	(-.f64 x (/.f64 1 (/.f64 a (*.f64 y (-.f64 z t)))))
128.0ms	(/.f64 1 (/.f64 a (*.f64 y (-.f64 z t))))
103.0ms	(/.f64 a (*.f64 y (-.f64 z t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5070	2088

prune70.0ms

Filtered

85 candidates to 136 candidates (-60.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	138	5	143

Merged error: 0b

Counts

143 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
0.4b	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
7.6b	(/.f64 (/.f64 a y) (-.f64 z t))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

784×	`times-frac_binary64`
482×	`add-sqr-sqrt_binary64`
465×	`*-un-lft-identity_binary64`
327×	`add-cube-cbrt_binary64`
76×	`associate-/r*_binary64`
73×	`difference-of-squares_binary64`
68×	`distribute-lft-out--_binary64`
33×	`div-inv_binary64`
23×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
12×	`div-exp_binary64`
11×	`associate-/r/_binary64`
9×	`cbrt-undiv_binary64`
6×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 429

Calls

3 calls:

76.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
23.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
10.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

series341.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(-.f64 x (/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t))))
133.0ms	(/.f64 1 (/.f64 (/.f64 a y) (-.f64 z t)))
97.0ms	(/.f64 (/.f64 a y) (-.f64 z t))

simplify139.0ms

Algorithm

egg-herbie

Counts

438 → 438

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5021	11174

prune237.0ms

Filtered

261 candidates to 438 candidates (-67.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	436	2	438
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	439	4	443

Merged error: 0b

Counts

443 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
7.8b	(/.f64 (-.f64 z t) (/.f64 a y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac_binary64`
95×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
58×	`add-cube-cbrt_binary64`
17×	`difference-of-squares_binary64`
15×	`distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `div-sub_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 117

Calls

2 calls:

25.0ms	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
10.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

series217.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
107.0ms	(/.f64 (-.f64 z t) (/.f64 a y))

simplify69.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5223	2717

prune66.0ms

Filtered

89 candidates to 123 candidates (-38.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes158.0ms

Accuracy

63.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	238	63
1	238	63

end0.0ms

sample700.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	128	valid
79.0ms	2552×	body	128	invalid

Details

analyze861.0ms

sample23.0ms

simplify52.0ms

prune1.0ms

localize7.0ms

rewrite26.0ms

series292.0ms

simplify55.0ms

prune49.0ms

localize9.0ms

rewrite50.0ms

series403.0ms

simplify66.0ms

prune70.0ms

localize10.0ms

rewrite179.0ms

series341.0ms

simplify139.0ms

prune237.0ms

localize7.0ms

rewrite48.0ms

series217.0ms

simplify69.0ms

prune66.0ms

regimes158.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample700.0ms

Profiling