Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.4%	13
66.6%	0%	33.4%	14

sample10.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4719	9
1	4719	9

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3 (*.f64 x 2)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x x) (-.f64 3 (*.f64 x 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5169	264

prune25.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3 (.f64 x 2)))
0.1b	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
7.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3 (.f64 x 2)))
8.0ms	(.f64 x (.f64 x (-.f64 3 (*.f64 x 2))))

simplify60.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4930	472
1	4930	472

prune28.0ms

Filtered

30 candidates to 52 candidates (-73.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0b

Counts

57 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
0.0b	(*.f64 (pow.f64 x 3) -2)
0.2b	(.f64 (.f64 x x) 3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `associate-l_binary64`
10×	`add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64`
2×	`sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 61

Calls

3 calls:

7.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
6.0ms	(*.f64 (pow.f64 x 3) -2)
6.0ms	(.f64 (.f64 x x) 3)

series17.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (.f64 (.f64 x x) 3) (*.f64 (pow.f64 x 3) -2))
4.0ms	(*.f64 (pow.f64 x 3) -2)
3.0ms	(.f64 (.f64 x x) 3)

simplify74.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4914	500
1	4914	500

prune34.0ms

Filtered

43 candidates to 70 candidates (-62.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0b

Counts

75 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 3 (*.f64 x 2)))
0.1b	(.f64 x (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (*.f64 x 2)))))
0.1b	(.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (*.f64 x 2))))
0.4b	(.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (.f64 x 2))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

122×	`cbrt-div_binary64`
92×	`associate-*r/_binary64`
61×	`flip3--_binary64` `flip--_binary64`
60×	`frac-times_binary64`
34×	`pow1_binary64`
30×	`associate-*l/_binary64`
29×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
18×	`pow-prod-down_binary64`
17×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`associate-l_binary64`
7×	`pow1/3_binary64`
6×	`swap-sqr_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 161

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 3 (*.f64 x 2)))
20.0ms	(.f64 x (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (*.f64 x 2)))))
12.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (*.f64 x 2))))
17.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (.f64 x 2))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 3 (*.f64 x 2)))
8.0ms	(.f64 x (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (*.f64 x 2)))))
7.0ms	(.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (*.f64 x 2))))
7.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 3 (.f64 x 2))) (cbrt.f64 (-.f64 3 (.f64 x 2))))) (cbrt.f64 (-.f64 3 (.f64 x 2))))

simplify73.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4937	3017
1	4937	3017

prune137.0ms

Filtered

104 candidates to 173 candidates (-66.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	173	5	178

Merged error: 0b

Counts

178 → 5

regimes21.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample276.0ms

Algorithm

intervals

Results

187.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms

sample10.0ms

simplify116.0ms

prune1.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify43.0ms

prune25.0ms

localize5.0ms

rewrite14.0ms

series14.0ms

simplify60.0ms

prune28.0ms

localize6.0ms

rewrite20.0ms

series17.0ms

simplify74.0ms

prune34.0ms

localize9.0ms

rewrite62.0ms

series28.0ms

simplify73.0ms

prune137.0ms

regimes21.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample276.0ms

Profiling