Details

analyze244.0ms

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

sample24.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	14×	body	80	nan

simplify252.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

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 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate--l+_binary64`
22×	`*-un-lft-identity_binary64`
21×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`pow1_binary64` `associate-+l+_binary64`
6×	`diff-log_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sub-neg_binary64` `distribute-lft-out_binary64` `associate-r_binary64`
3×	`log-pow_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 76

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(*.f64 x (log.f64 y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
7.0ms	(*.f64 x (log.f64 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5054	818

prune87.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
14.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune106.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
8×	`pow1/3_binary64`
7×	`add-exp-log_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `unpow1/3_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(pow.f64 y 1/3)

series59.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
14.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
13.0ms	(pow.f64 y 1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5228	340

prune87.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.0b	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
4.1b	(pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
5.3b	(pow.f64 (pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`unpow-prod-down_binary64`
12×	`pow1_binary64`
9×	`add-exp-log_binary64`
7×	`pow-unpow_binary64` `pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-pow_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt.f64 y)
6.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
2.0ms	(pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
4.0ms	(pow.f64 (pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))

series85.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(cbrt.f64 y)
0.0ms	(*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))
20.0ms	(pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3)))
51.0ms	(pow.f64 (pow.f64 y (*.f64 (cbrt.f64 1/3) (cbrt.f64 1/3))) (cbrt.f64 1/3))

simplify44.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4949	655
1	4949	655

prune105.0ms

Filtered

70 candidates to 102 candidates (-45.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	102	6	108

Merged error: 0b

Counts

108 → 6

regimes519.0ms

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	30	11
1	30	11

end0.0ms

sample661.0ms

Algorithm

intervals

Results

433.0ms	7996×	body	80	valid
15.0ms	384×	body	80	nan
2.0ms	33×	body	80	invalid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze244.0ms

sample24.0ms

simplify252.0ms

prune4.0ms

localize10.0ms

rewrite28.0ms

series28.0ms

simplify47.0ms

prune87.0ms

localize17.0ms

rewrite11.0ms

series61.0ms

simplify45.0ms

prune106.0ms

localize23.0ms

rewrite13.0ms

series59.0ms

simplify50.0ms

prune87.0ms

localize30.0ms

rewrite16.0ms

series85.0ms

simplify44.0ms

prune105.0ms

regimes519.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample661.0ms

Profiling