Details

analyze258.0ms

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%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample26.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	12×	body	80	nan
0.0ms	2×	body	80	invalid

simplify245.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (242.0ms)

Iter	Nodes	Cost
0	6359	11

prune4.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.3b	(*.f64 x (log.f64 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
5.0ms	(*.f64 x (log.f64 y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
8.0ms	(*.f64 x (log.f64 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	336
1	4953	336

prune48.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series82.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
26.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune84.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/3)
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
0.3b	(.f64 (.f64 x 1/3) (log.f64 y))
0.5b	(cbrt.f64 y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
3×	`cbrt-prod_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `log-pow_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 71

Calls

4 calls:

4.0ms	(*.f64 x 1/3)
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
6.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
1.0ms	(cbrt.f64 y)

series63.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(*.f64 x 1/3)
34.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
9.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
17.0ms	(cbrt.f64 y)

simplify59.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4881	506
1	4881	506

prune68.0ms

Filtered

56 candidates to 83 candidates (-48.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
25.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
23.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
23.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5373	427

prune51.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes623.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	21
1	42	21

end0.0ms

sample691.0ms

Algorithm

intervals

Results

441.0ms	7999×	body	80	valid
17.0ms	415×	body	80	nan
1.0ms	16×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze258.0ms

sample26.0ms

simplify245.0ms

prune4.0ms

localize10.0ms

rewrite11.0ms

series19.0ms

simplify60.0ms

prune48.0ms

localize16.0ms

rewrite18.0ms

series82.0ms

simplify66.0ms

prune84.0ms

localize18.0ms

rewrite21.0ms

series63.0ms

simplify59.0ms

prune68.0ms

localize16.0ms

rewrite14.0ms

series107.0ms

simplify59.0ms

prune51.0ms

regimes623.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample691.0ms

Profiling