Details

analyze273.0ms

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
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	240	7
1	240	7

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: 2.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(*.f64 x (-.f64 1 (*.f64 y z)))

simplify35.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5200	204

prune41.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	15	10	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	10	26

Merged error: 2.5b

Counts

26 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-r_binary64` `add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`distribute-rgt-neg-out_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

3.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
5.0ms	(.f64 x (neg.f64 (.f64 y z)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
7.0ms	(.f64 x (neg.f64 (.f64 y z)))

simplify79.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4915	298
1	4915	298

prune34.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	41	9	50

Merged error: 0.0b

Counts

50 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.2b	(.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x))
3.0b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `distribute-lft-neg-out_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
8.0ms	(.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x))
11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)
20.0ms	(.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x))
11.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (neg.f64 (.f64 y z)) (cbrt.f64 x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4872	523
1	4872	523

prune47.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

5.0b	(.f64 x (neg.f64 (.f64 y z)))
12.8b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
12.8b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
12.8b	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `unswap-sqr_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 49

Calls

4 calls:

7.0ms	(.f64 x (neg.f64 (.f64 y z)))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
4.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
3.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 x (neg.f64 (.f64 y z)))
25.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
25.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))
25.0ms	(cbrt.f64 (.f64 x (neg.f64 (.f64 y z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4981	466
1	4981	466

prune25.0ms

Filtered

48 candidates to 61 candidates (-27.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	61	10	71

Merged error: 0.0b

Counts

71 → 10

regimes462.0ms

Accuracy

49% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	20
1	80	20

end0.0ms

sample370.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
12.0ms	538×	body	80	invalid

Details

analyze273.0ms

sample15.0ms

simplify16.0ms

prune3.0ms

localize6.0ms

rewrite8.0ms

series11.0ms

simplify35.0ms

prune41.0ms

localize6.0ms

rewrite10.0ms

series22.0ms

simplify79.0ms

prune34.0ms

localize9.0ms

rewrite23.0ms

series59.0ms

simplify72.0ms

prune47.0ms

localize10.0ms

rewrite19.0ms

series81.0ms

simplify44.0ms

prune25.0ms

regimes462.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample370.0ms

Profiling