Details

analyze214.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample31.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify210.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	5541	8

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate--l+_binary64`
18×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow1_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

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

series33.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
15.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
9.0ms	(*.f64 x (log.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4941	594
1	4941	594

prune81.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
24.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
18.0ms	(cbrt.f64 y)
22.0ms	(cbrt.f64 y)

simplify32.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5011	480

prune79.0ms

Filtered

60 candidates to 76 candidates (-26.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
4.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
4.0ms	(cbrt.f64 (sqrt.f64 y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
20.0ms	(*.f64 (log.f64 y) 2/3)
24.0ms	(cbrt.f64 (sqrt.f64 y))
22.0ms	(cbrt.f64 (sqrt.f64 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5180	743

prune99.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Merged error: 0b

Counts

102 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

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

series76.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)

simplify39.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune54.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Merged error: 0b

Counts

61 → 5

regimes196.0ms

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	26	8
1	26	8

end0.0ms

sample447.0ms

Algorithm

intervals

Results

284.0ms	7997×	body	80	valid
1.0ms	31×	body	80	invalid
1.0ms	40×	body	80	nan
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze214.0ms

sample31.0ms

simplify210.0ms

prune3.0ms

localize7.0ms

rewrite19.0ms

series33.0ms

simplify53.0ms

prune81.0ms

localize15.0ms

rewrite18.0ms

series88.0ms

simplify32.0ms

prune79.0ms

localize15.0ms

rewrite18.0ms

series93.0ms

simplify47.0ms

prune99.0ms

localize17.0ms

rewrite6.0ms

series76.0ms

simplify39.0ms

prune54.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample447.0ms

Profiling