Details

analyze4.0ms

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

sample15.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.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))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4827	265
1	4827	265

prune21.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 x))
0.0b	(log.f64 (sqrt.f64 x))
0.2b	(*.f64 x (log.f64 (sqrt.f64 x)))
0.2b	(*.f64 x (log.f64 (sqrt.f64 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`sqrt-prod_binary64`
16×	`pow1_binary64`
12×	`associate-r_binary64` `log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
10×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

2.0ms	(log.f64 (sqrt.f64 x))
2.0ms	(log.f64 (sqrt.f64 x))
5.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(log.f64 (sqrt.f64 x))
19.0ms	(log.f64 (sqrt.f64 x))
26.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))
28.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5073	1486

prune62.0ms

Filtered

70 candidates to 112 candidates (-60.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x)))))
0.2b	(+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

8.0ms	(*.f64 x (+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x)))))
7.0ms	(+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series759.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(*.f64 x (+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x)))))
286.0ms	(+.f64 (log.f64 (fabs.f64 (cbrt.f64 x))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
82.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)

simplify87.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4899	1330
1	4899	1330

prune67.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	8	8
Picked	1	0	1
Done	1	0	1
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (sqrt.f64 x)))
0.2b	(+.f64 (log.f64 (fabs.f64 (pow.f64 x 1/3))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
0.5b	(cbrt.f64 x)
5.1b	(pow.f64 x 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
13×	`pow1_binary64`
12×	`sqrt-prod_binary64`
9×	`associate-+r+_binary64`
7×	`log-pow_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64`
3×	`pow-unpow_binary64` `associate-+l+_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))
7.0ms	(+.f64 (log.f64 (fabs.f64 (pow.f64 x 1/3))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
2.0ms	(pow.f64 x 1/3)

series404.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 x (log.f64 (sqrt.f64 x)))
207.0ms	(+.f64 (log.f64 (fabs.f64 (pow.f64 x 1/3))) (log.f64 (sqrt.f64 (cbrt.f64 x))))
88.0ms	(cbrt.f64 x)
79.0ms	(pow.f64 x 1/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5113	1271

prune69.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	101	10	111

Merged error: 0.0b

Counts

111 → 10

regimes25.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	30
1	19	30

end0.0ms

sample308.0ms

Algorithm

intervals

Results

210.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze4.0ms

sample15.0ms

simplify12.0ms

prune1.0ms

localize4.0ms

rewrite5.0ms

series63.0ms

simplify87.0ms

prune21.0ms

localize6.0ms

rewrite17.0ms

series94.0ms

simplify91.0ms

prune62.0ms

localize15.0ms

rewrite20.0ms

series759.0ms

simplify87.0ms

prune67.0ms

localize23.0ms

rewrite19.0ms

series404.0ms

simplify90.0ms

prune69.0ms

regimes25.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample308.0ms

Profiling