Details

analyze384.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4930	9
1	4930	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: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(*.f64 x (+.f64 (-.f64 y z) 1.0))
9.7b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`distribute-lft-out_binary64` `associate-*r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `associate-+l-_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+.f64 (-.f64 y z) 1.0)
9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

series26.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (-.f64 y z) 1.0)
12.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5536	615

prune69.0ms

Filtered

47 candidates to 72 candidates (-53.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)
5.0b	(*.f64 (/.f64 x z) (+.f64 y 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`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`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

8.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)
9.0ms	(*.f64 (/.f64 x z) (+.f64 y 1.0))

series22.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1.0)) x)
10.0ms	(*.f64 (/.f64 x z) (+.f64 y 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5143	574

prune100.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0b

Counts

63 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(/.f64 z (+.f64 (-.f64 y z) 1.0))
3.6b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
71×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
34×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
17×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `+-commutative_binary64`

Counts

3 → 155

Calls

3 calls:

7.0ms	(+.f64 (-.f64 y z) 1.0)
8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (-.f64 y z) 1.0)
7.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5006	2246

prune118.0ms

Filtered

104 candidates to 164 candidates (-57.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	164	6	170

Merged error: 0b

Counts

170 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 y z) 1.0)
0.0b	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
3.6b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
28×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
16×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `associate-+l+_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 92

Calls

3 calls:

7.0ms	(+.f64 (-.f64 y z) 1.0)
9.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
12.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

series19.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (-.f64 y z) 1.0)
5.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
11.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5095	977

prune62.0ms

Filtered

60 candidates to 101 candidates (-68.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	101	6	107

Merged error: 0b

Counts

107 → 6

regimes189.0ms

Accuracy

92.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.4b

bsearch21.0ms

Steps

Iters	Range		Point
7	7.130617606372987e-07	0.00011811476289673999	1.4424878581264527e-06
4	-3.808636044716933e+53	-2.026876569939906e+53	-2.3052764878738166e+53

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	35
1	42	35

end0.0ms

sample469.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
29.0ms	1002×	body	80	invalid

Details

analyze384.0ms

sample17.0ms

simplify76.0ms

prune3.0ms

localize6.0ms

rewrite27.0ms

series26.0ms

simplify41.0ms

prune69.0ms

localize6.0ms

rewrite18.0ms

series22.0ms

simplify51.0ms

prune100.0ms

localize6.0ms

rewrite33.0ms

series24.0ms

simplify53.0ms

prune118.0ms

localize6.0ms

rewrite33.0ms

series19.0ms

simplify52.0ms

prune62.0ms

regimes189.0ms

bsearch21.0ms

simplify2.0ms

end0.0ms

sample469.0ms

Profiling