Details

analyze320.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample41.0ms

Algorithm

intervals

Results

13.0ms	194×	body	128	valid
10.0ms	20×	body	1024	valid
4.0ms	18×	body	512	valid
3.0ms	24×	body	256	valid
0.0ms	3×	body	128	nan
0.0ms	1×	body	128	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

prune2.0ms

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: 9.8b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.2b	(*.f64 x (log.f64 y))
6.6b	(log.f64 (-.f64 1 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `log-prod_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64` `add-exp-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64`
6×	`associate-l_binary64`
4×	`distribute-lft-out--_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `rem-log-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 88

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series284.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
72.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
54.0ms	(*.f64 x (log.f64 y))
23.0ms	(log.f64 (-.f64 1 y))

simplify72.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4944	1518
1	4944	1518

prune96.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.2b	(*.f64 x (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
10×	`associate-r_binary64`
8×	`sub-neg_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate--l+_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`associate-*r/_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

series353.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))
109.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
55.0ms	(*.f64 x (log.f64 y))
20.0ms	(*.f64 y 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4936	1557
1	4936	1557

prune88.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

410.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y)))) (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y)))))
371.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
382.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
386.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))

simplify135.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4912	4834
1	4912	4834

prune240.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
0.6b	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))) 5)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
4.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))) 5)

series2.1s

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
385.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
387.0ms	(cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))
920.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3))) y))))) 5)

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4935	3360
1	4935	3360

prune210.0ms

Filtered

67 candidates to 75 candidates (-11.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

regimes95.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	30
1	58	30

end0.0ms

sample1.3s

Algorithm

intervals

Results

393.0ms	5824×	body	128	valid
344.0ms	702×	body	1024	valid
217.0ms	821×	body	512	valid
92.0ms	637×	body	256	valid
17.0ms	246×	body	128	nan
11.0ms	16×	body	2048	valid
2.0ms	36×	body	128	invalid

Details

analyze320.0ms

sample41.0ms

simplify33.0ms

prune2.0ms

localize12.0ms

rewrite31.0ms

series284.0ms

simplify72.0ms

prune96.0ms

localize14.0ms

rewrite31.0ms

series353.0ms

simplify75.0ms

prune88.0ms

localize23.0ms

rewrite43.0ms

series1.5s

simplify135.0ms

prune240.0ms

localize27.0ms

rewrite31.0ms

series2.1s

simplify100.0ms

prune210.0ms

regimes95.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling