Details

analyze60.0ms

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	184	10
1	184	10

prune7.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`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×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

3.0ms	(-.f64 1 (*.f64 x y))
6.0ms	(.f64 x (-.f64 1 (.f64 x y)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(-.f64 1 (*.f64 x y))
28.0ms	(.f64 x (-.f64 1 (.f64 x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5230	465

prune187.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
0.2b	(.f64 x (neg.f64 (.f64 x y)))

rewrite8.0ms

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 x y))))
5.0ms	(.f64 x (neg.f64 (.f64 x y)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+.f64 x (.f64 x (neg.f64 (.f64 x y))))
16.0ms	(.f64 x (neg.f64 (.f64 x y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4960	467
1	4960	467

prune169.0ms

Filtered

28 candidates to 40 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
9.9b	(.f64 (.f64 x x) (neg.f64 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

3.0ms	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
8.0ms	(.f64 (.f64 x x) (neg.f64 y))

series41.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+.f64 x (.f64 (.f64 x x) (neg.f64 y)))
18.0ms	(.f64 (.f64 x x) (neg.f64 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5058	515

prune168.0ms

Filtered

31 candidates to 45 candidates (-45.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (*.f64 x y) 3)
0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.7b	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
10.8b	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `associate-l_binary64` `difference-of-squares_binary64` `times-frac_binary64` `pow-sqr_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `associate-/r/_binary64` `pow-plus_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `unpow-prod-down_binary64` `frac-2neg_binary64` `cube-prod_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip-+_binary64` `pow2_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 110

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 x y) 3)
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
9.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
17.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow.f64 (*.f64 x y) 3)
31.0ms	(.f64 (.f64 x y) (*.f64 x y))
61.0ms	(.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))
111.0ms	(/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 1 (.f64 x y)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5010	1787

prune343.0ms

Filtered

70 candidates to 122 candidates (-74.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

regimes255.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	10
1	44	10

end0.0ms

sample550.0ms

Algorithm

intervals

Results

386.0ms	8000×	body	80	valid
2.0ms	84×	body	80	invalid

Details

analyze60.0ms

sample19.0ms

simplify22.0ms

prune7.0ms

localize11.0ms

rewrite10.0ms

series46.0ms

simplify57.0ms

prune187.0ms

localize9.0ms

rewrite8.0ms

series39.0ms

simplify73.0ms

prune169.0ms

localize16.0ms

rewrite13.0ms

series41.0ms

simplify74.0ms

prune168.0ms

localize29.0ms

rewrite41.0ms

series245.0ms

simplify80.0ms

prune343.0ms

regimes255.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample550.0ms

Profiling