Details

analyze187.0ms

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

sample15.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	nan

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

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 3 expressions with local error:

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

rewrite22.0ms

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:

5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
10.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(*.f64 x (log.f64 y))

series94.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
27.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
28.0ms	(*.f64 x (log.f64 y))

simplify85.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4945	917
1	4945	917

prune42.0ms

Filtered

51 candidates to 73 candidates (-43.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

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)

rewrite20.0ms

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:

8.0ms	(.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)

series319.0ms

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))))
79.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)

simplify86.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4957	760
1	4957	760

prune64.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	75	6	81

Merged error: 0b

Counts

81 → 6

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))

series392.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
110.0ms	(cbrt.f64 (cbrt.f64 y))
117.0ms	(cbrt.f64 (cbrt.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5003	466

prune59.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 y) 2/3)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
8.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 2/3)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms	(*.f64 (log.f64 y) 2/3)
1.0ms	(cbrt.f64 y)

series315.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
104.0ms	(+.f64 (.f64 x (.f64 (log.f64 y) 2/3)) (*.f64 x (log.f64 (cbrt.f64 y))))
52.0ms	(*.f64 (log.f64 y) 2/3)
83.0ms	(cbrt.f64 y)

simplify86.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4954	1073
1	4954	1073

prune60.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0b

Counts

104 → 6

regimes55.0ms

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	27	12
1	27	12

end0.0ms

sample435.0ms

Algorithm

intervals

Results

277.0ms	7999×	body	80	valid
1.0ms	44×	body	80	invalid
1.0ms	37×	body	80	nan
0.0ms	1×	body	640	valid

Details

analyze187.0ms

sample15.0ms

simplify284.0ms

prune1.0ms

localize7.0ms

rewrite22.0ms

series94.0ms

simplify85.0ms

prune42.0ms

localize12.0ms

rewrite20.0ms

series319.0ms

simplify86.0ms

prune64.0ms

localize17.0ms

rewrite7.0ms

series392.0ms

simplify49.0ms

prune59.0ms

localize14.0ms

rewrite22.0ms

series315.0ms

simplify86.0ms

prune60.0ms

regimes55.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample435.0ms

Profiling