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

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify145.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

prune7.0ms

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

localize6.0ms

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_559`
6×	`log-prod_binary64_492`
5×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
4×	`pow1_binary64_520` `associate-r_binary64_633`
3×	`associate-l_binary64_634` `add-cbrt-cube_binary64_546` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `add-exp-log_binary64_538`
1×	`unswap-sqr_binary64_602` `cbrt-unprod_binary64_543` `log-pow_binary64_495` `*-commutative_binary64_642` `add-log-exp_binary64_539` `pow-prod-down_binary64_501` `prod-exp_binary64_525`

Counts

1 → 25

Calls

1 calls:

4.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5043	265

prune125.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64_492`
18×	`cbrt-prod_binary64_541` `add-sqr-sqrt_binary64_559`
16×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
12×	`associate-+r+_binary64_625` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617`
7×	`pow1_binary64_520`
6×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
5×	`associate-r_binary64_633`
3×	`pow1/3_binary64_512` `associate-l_binary64_634`
2×	`log-pow_binary64_495`
1×	`+-commutative_binary64_641` `unswap-sqr_binary64_602` `flip3-+_binary64_572` `flip-+_binary64_599` `cbrt-unprod_binary64_543` `distribute-lft-out_binary64_618` `*-commutative_binary64_642` `sum-log_binary64_489` `pow-prod-down_binary64_501` `prod-exp_binary64_525`

Counts

4 → 78

Calls

4 calls:

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

series536.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
179.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
84.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 x)

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5014	1041

prune395.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x 1/3) (log.f64 x)))
0.3b	(*.f64 x 1/3)
0.4b	(.f64 (.f64 x 1/3) (log.f64 x))
0.7b	(cbrt.f64 x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_559`
12×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `log-prod_binary64_492`
11×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
7×	`associate-r_binary64_633`
6×	`associate-+r+_binary64_625` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `add-log-exp_binary64_539`
4×	`associate-l_binary64_634` `cbrt-unprod_binary64_543` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
3×	`cbrt-prod_binary64_541`
2×	`*-commutative_binary64_642`
1×	`pow1/3_binary64_512` `+-commutative_binary64_641` `unswap-sqr_binary64_602` `flip3-+_binary64_572` `flip-+_binary64_599` `log-pow_binary64_495` `sum-log_binary64_489`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x 1/3) (log.f64 x)))
4.0ms	(*.f64 x 1/3)
11.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
1.0ms	(cbrt.f64 x)

series422.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (.f64 (.f64 x 1/3) (log.f64 x)))
13.0ms	(*.f64 x 1/3)
70.0ms	(.f64 (.f64 x 1/3) (log.f64 x))
84.0ms	(cbrt.f64 x)

simplify85.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5044	780

prune317.0ms

Filtered

57 candidates to 83 candidates (-45.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_541`
8×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
4×	`pow1/3_binary64_512` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538` `add-log-exp_binary64_539`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series333.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 x)
81.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)

simplify59.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4910	340
1	4910	340

prune440.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	56	6	62

Merged error: 0b

Counts

62 → 6

regimes174.0ms

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	5	6
1	5	6

end0.0ms

sample334.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample18.0ms

simplify145.0ms

prune7.0ms

localize6.0ms

rewrite5.0ms

series68.0ms

simplify69.0ms

prune125.0ms

localize13.0ms

rewrite18.0ms

series536.0ms

simplify50.0ms

prune395.0ms

localize18.0ms

rewrite26.0ms

series422.0ms

simplify85.0ms

prune317.0ms

localize23.0ms

rewrite6.0ms

series333.0ms

simplify59.0ms

prune440.0ms

regimes174.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample334.0ms

Profiling