Details

analyze200.0ms

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

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify287.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	4861	12
1	4861	12

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
27.0ms	(*.f64 x (log.f64 y))

simplify95.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4939	522
1	4939	522

prune29.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(.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)
1.0ms	(cbrt.f64 y)

series324.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
81.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
80.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)

simplify88.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4957	760
1	4957	760

prune69.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	77	5	82

Merged error: 0b

Counts

82 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
1.0ms	(cbrt.f64 y)
2.0ms	(pow.f64 y 1/3)

series345.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
114.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
82.0ms	(cbrt.f64 y)
83.0ms	(pow.f64 y 1/3)

simplify115.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4985	917
1	4985	917

prune69.0ms

Filtered

65 candidates to 100 candidates (-53.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-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 → 50

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))

series385.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
110.0ms	(cbrt.f64 (cbrt.f64 y))
112.0ms	(cbrt.f64 (cbrt.f64 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5003	466

prune54.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0b

Counts

66 → 4

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	28
1	38	28

end0.0ms

sample453.0ms

Algorithm

intervals

Results

288.0ms	7998×	body	80	valid
1.0ms	32×	body	80	nan
1.0ms	22×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze200.0ms

sample18.0ms

simplify287.0ms

prune1.0ms

localize7.0ms

rewrite11.0ms

series65.0ms

simplify95.0ms

prune29.0ms

localize12.0ms

rewrite18.0ms

series324.0ms

simplify88.0ms

prune69.0ms

localize20.0ms

rewrite22.0ms

series345.0ms

simplify115.0ms

prune69.0ms

localize17.0ms

rewrite7.0ms

series385.0ms

simplify47.0ms

prune54.0ms

regimes36.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample453.0ms

Profiling