Details

analyze254.0ms

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
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_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:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune46.0ms

Filtered

31 candidates to 42 candidates (-35.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
3.0ms	(+.f64 x (*.f64 y z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 y x))
8.0ms	(+.f64 x (*.f64 y z))

simplify35.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5063	269

prune30.0ms

Filtered

22 candidates to 30 candidates (-36.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

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

series115.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
26.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
25.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
25.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5119	779

prune68.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.2b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
38.3b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
6.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

series36.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (+.f64 x z))
7.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
15.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

simplify25.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5088	725

prune63.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample365.0ms

Algorithm

intervals

Results

178.0ms	8000×	body	80	valid
15.0ms	598×	body	80	invalid

Details

analyze254.0ms

sample14.0ms

simplify6.0ms

prune5.0ms

localize5.0ms

rewrite11.0ms

series13.0ms

simplify63.0ms

prune46.0ms

localize6.0ms

rewrite9.0ms

series15.0ms

simplify35.0ms

prune30.0ms

localize9.0ms

rewrite25.0ms

series115.0ms

simplify36.0ms

prune68.0ms

localize8.0ms

rewrite22.0ms

series36.0ms

simplify25.0ms

prune63.0ms

regimes137.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample365.0ms

Profiling