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

sample11.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

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: 0.2b

Counts

2 → 1

localize8.0ms

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))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.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

prune28.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series164.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
51.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
30.0ms	(cbrt.f64 x)
28.0ms	(cbrt.f64 x)

simplify33.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4892	524
1	4892	524

prune76.0ms

Filtered

57 candidates to 84 candidates (-47.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
0.4b	(.f64 (.f64 x 1/3) (log.f64 x))
0.4b	(*.f64 x 1/3)
0.6b	(cbrt.f64 x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-r_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
6×	`log-prod_binary64`
4×	`add-log-exp_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `log-pow_binary64` `unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
10.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
4.0ms	(*.f64 x 1/3)
1.0ms	(cbrt.f64 x)

series125.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
21.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
3.0ms	(*.f64 x 1/3)
48.0ms	(cbrt.f64 x)

simplify31.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5073	483

prune72.0ms

Filtered

54 candidates to 84 candidates (-55.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0b

Counts

92 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
43×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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 → 95

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
2.0ms	(cbrt.f64 (sqrt.f64 x))
2.0ms	(cbrt.f64 (sqrt.f64 x))
1.0ms	(cbrt.f64 x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
18.0ms	(cbrt.f64 (sqrt.f64 x))
19.0ms	(cbrt.f64 (sqrt.f64 x))
30.0ms	(cbrt.f64 x)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4922	711
1	4922	711

prune77.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

regimes80.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end0.0ms

sample279.0ms

Algorithm

intervals

Results

192.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze3.0ms

sample11.0ms

simplify4.0ms

prune2.0ms

localize8.0ms

rewrite5.0ms

series19.0ms

simplify57.0ms

prune28.0ms

localize11.0ms

rewrite15.0ms

series164.0ms

simplify33.0ms

prune76.0ms

localize11.0ms

rewrite29.0ms

series125.0ms

simplify31.0ms

prune72.0ms

localize14.0ms

rewrite16.0ms

series88.0ms

simplify52.0ms

prune77.0ms

regimes80.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample279.0ms

Profiling