Details

analyze326.0ms

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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	241×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	22×	body	80	invalid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

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 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))
0.0b	(*.f64 x (+.f64 y z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))
7.0ms	(*.f64 x (+.f64 y z))

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))
8.0ms	(*.f64 x (+.f64 y z))

simplify45.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5099	356

prune49.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5.0)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
2×	`associate-+r+_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x y) (*.f64 z (+.f64 x 5.0)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(+.f64 (*.f64 x y) (*.f64 z (+.f64 x 5.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5162	193

prune24.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	16	5	21

Merged error: 0.0b

Counts

21 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5.0))))
48.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
46.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
49.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4926	1765
1	4926	1765

prune139.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) 2))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64`
6×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) 2))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
46.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0)))
82.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))) 2))
49.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4939	1195
1	4939	1195

prune125.0ms

Filtered

65 candidates to 73 candidates (-12.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

regimes333.0ms

Accuracy

0% (0.0b 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	12	9
1	12	9

end0.0ms

sample439.0ms

Algorithm

intervals

Results

210.0ms	7659×	body	80	valid
20.0ms	112×	body	1280	valid
17.0ms	645×	body	80	invalid
12.0ms	122×	body	640	valid
5.0ms	69×	body	320	valid
2.0ms	38×	body	160	valid

Details

analyze326.0ms

sample18.0ms

simplify6.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series17.0ms

simplify45.0ms

prune49.0ms

localize6.0ms

rewrite5.0ms

series9.0ms

simplify55.0ms

prune24.0ms

localize11.0ms

rewrite39.0ms

series225.0ms

simplify83.0ms

prune139.0ms

localize18.0ms

rewrite30.0ms

series224.0ms

simplify67.0ms

prune125.0ms

regimes333.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample439.0ms

Profiling