Details

analyze252.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	242	10
1	242	10

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: 3.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite6.0ms

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:

6.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5436	302

prune24.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 3.4b

Counts

26 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
6.1b	(.f64 x (neg.f64 (.f64 y z)))

rewrite9.0ms

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)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 y z))))
29.0ms	(.f64 x (neg.f64 (.f64 y z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4991	451
1	4991	451

prune26.0ms

Filtered

29 candidates to 40 candidates (-37.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
11.1b	(cbrt.f64 (neg.f64 (*.f64 y z)))
11.1b	(cbrt.f64 (neg.f64 (*.f64 y z)))
11.1b	(cbrt.f64 (neg.f64 (*.f64 y z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

9.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
83.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
81.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
78.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4925	852
1	4925	852

prune49.0ms

Filtered

54 candidates to 73 candidates (-35.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.4b	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
11.1b	(cbrt.f64 (neg.f64 (*.f64 y z)))
11.1b	(cbrt.f64 (neg.f64 (*.f64 y z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt.f64 y)
9.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
2.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 y)
138.0ms	(.f64 x (.f64 (cbrt.f64 (neg.f64 (.f64 y z))) (cbrt.f64 (neg.f64 (.f64 y z)))))
78.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))
81.0ms	(cbrt.f64 (neg.f64 (*.f64 y z)))

simplify120.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4965	811
1	4965	811

prune49.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes117.0ms

Accuracy

97.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	40
1	88	40

end0.0ms

sample378.0ms

Algorithm

intervals

Results

187.0ms	8000×	body	80	valid
21.0ms	547×	body	80	invalid

Details

analyze252.0ms

sample14.0ms

simplify26.0ms

prune1.0ms

localize5.0ms

rewrite6.0ms

series43.0ms

simplify54.0ms

prune24.0ms

localize8.0ms

rewrite9.0ms

series73.0ms

simplify72.0ms

prune26.0ms

localize10.0ms

rewrite15.0ms

series381.0ms

simplify69.0ms

prune49.0ms

localize14.0ms

rewrite16.0ms

series378.0ms

simplify120.0ms

prune49.0ms

regimes117.0ms

bsearch2.0ms

simplify4.0ms

end0.0ms

sample378.0ms

Profiling