Details

analyze561.0ms

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	5487	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: 13.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
12.4b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

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

series27.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5975	485

prune44.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.4b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite33.0ms

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

series44.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
34.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5078	3157

prune82.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.5b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

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

series29.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
18.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1163

prune40.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(/.f64 x (-.f64 t z))
11.1b	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))

rewrite117.0ms

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:

10.0ms	(/.f64 1 (-.f64 y z))
10.0ms	(/.f64 x (-.f64 t z))
26.0ms	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 y z))
8.0ms	(/.f64 x (-.f64 t z))
30.0ms	(/.f64 (/.f64 x (-.f64 t z)) (/.f64 1 (-.f64 y z)))

simplify112.0ms

Algorithm

egg-herbie

Counts

594 → 594

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5068	12289

prune202.0ms

Filtered

299 candidates to 594 candidates (-98.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	594	0	594
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	594	7	601

Merged error: 0b

Counts

601 → 7

regimes243.0ms

Accuracy

1.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.4b

bsearch15.0ms

Steps

Iters	Range		Point
2	5.004281977800206e+31	5.722917707488993e+31	5.094111444011304e+31
7	-5.033268881026378e-284	-1.3621908655746243e-285	-2.1121188610291946e-285

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	27
1	33	27

end0.0ms

sample489.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
17.0ms	573×	body	80	invalid

Details

analyze561.0ms

sample19.0ms

simplify209.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series27.0ms

simplify41.0ms

prune44.0ms

localize6.0ms

rewrite33.0ms

series44.0ms

simplify55.0ms

prune82.0ms

localize6.0ms

rewrite27.0ms

series29.0ms

simplify51.0ms

prune40.0ms

localize10.0ms

rewrite117.0ms

series43.0ms

simplify112.0ms

prune202.0ms

regimes243.0ms

bsearch15.0ms

simplify3.0ms

end0.0ms

sample489.0ms

Profiling