Details

analyze939.0ms

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

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	97×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	720	13
1	720	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: 6.4b

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))
6.8b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite20.0ms

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:

6.0ms	(*.f64 y (-.f64 z t))
5.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series132.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 y (-.f64 z t))
50.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
53.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5147	904

prune45.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
5.0b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
112×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 154

Calls

3 calls:

23.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
30.0ms	(/.f64 a (-.f64 z t))
60.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5059	3253

prune95.0ms

Filtered

120 candidates to 163 candidates (-35.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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×	`sub-neg_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

3.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
9.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series107.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
53.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify85.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4993	876
1	4993	876

prune30.0ms

Filtered

42 candidates to 59 candidates (-40.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
0.0b	(/.f64 (-.f64 z t) a)
5.2b	(*.f64 y (/.f64 (-.f64 z t) a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

6.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
7.0ms	(/.f64 (-.f64 z t) a)
13.0ms	(*.f64 y (/.f64 (-.f64 z t) a))

series137.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
22.0ms	(/.f64 (-.f64 z t) a)
58.0ms	(*.f64 y (/.f64 (-.f64 z t) a))

simplify73.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4997	1351
1	4997	1351

prune42.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes131.0ms

Accuracy

62.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	199	55
1	199	55

end0.0ms

sample664.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	80	valid
87.0ms	2608×	body	80	invalid

Details

analyze939.0ms

sample24.0ms

simplify61.0ms

prune1.0ms

localize7.0ms

rewrite20.0ms

series132.0ms

simplify65.0ms

prune45.0ms

localize7.0ms

rewrite45.0ms

series141.0ms

simplify89.0ms

prune95.0ms

localize7.0ms

rewrite14.0ms

series107.0ms

simplify85.0ms

prune30.0ms

localize8.0ms

rewrite32.0ms

series137.0ms

simplify73.0ms

prune42.0ms

regimes131.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample664.0ms

Profiling