Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

prune1.0ms

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: 0.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.f64 x (log.f64 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 x (log.f64 x))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 x (log.f64 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4860	169
1	4860	169

prune24.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite19.0ms

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:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series107.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
38.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4876	606
1	4876	606

prune40.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Merged error: 0b

Counts

98 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
0.4b	(*.f64 (log.f64 x) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 (sqrt.f64 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`log-prod_binary64` `sqrt-prod_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64`
4×	`associate-l_binary64`
3×	`associate-r_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

4 calls:

7.0ms	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
4.0ms	(*.f64 (log.f64 x) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 x))
2.0ms	(cbrt.f64 (sqrt.f64 x))

series59.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
9.0ms	(*.f64 (log.f64 x) 2/3)
11.0ms	(cbrt.f64 (sqrt.f64 x))
12.0ms	(cbrt.f64 (sqrt.f64 x))

simplify31.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5282	596

prune40.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	81	5	86

Merged error: 0b

Counts

86 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x 2/3))
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 (sqrt.f64 x))
5.9b	(pow.f64 x 2/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
24×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64`
10×	`add-exp-log_binary64`
9×	`associate-l_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
7×	`associate-r_binary64`
5×	`pow1_binary64` `sqr-pow_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `pow-pow_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x 2/3))
2.0ms	(cbrt.f64 (sqrt.f64 x))
2.0ms	(cbrt.f64 (sqrt.f64 x))
2.0ms	(pow.f64 x 2/3)

series49.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (sqrt.f64 x)) (pow.f64 x 2/3))
11.0ms	(cbrt.f64 (sqrt.f64 x))
11.0ms	(cbrt.f64 (sqrt.f64 x))
13.0ms	(pow.f64 x 2/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4941	682
1	4941	682

prune46.0ms

Filtered

69 candidates to 94 candidates (-36.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0b

Counts

99 → 5

regimes39.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end0.0ms

sample287.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze3.0ms

sample10.0ms

simplify4.0ms

prune1.0ms

localize3.0ms

rewrite5.0ms

series11.0ms

simplify57.0ms

prune24.0ms

localize9.0ms

rewrite19.0ms

series107.0ms

simplify58.0ms

prune40.0ms

localize15.0ms

rewrite17.0ms

series59.0ms

simplify31.0ms

prune40.0ms

localize19.0ms

rewrite16.0ms

series49.0ms

simplify52.0ms

prune46.0ms

regimes39.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling