Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample18.0ms

Algorithm

intervals

Results

5.0ms	60×	body	640	valid
3.0ms	131×	body	80	valid
2.0ms	37×	body	320	valid
1.0ms	28×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	497	9
1	497	9

prune4.0ms

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: 13.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.3b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
8×	`distribute-lft-out--_binary64`
5×	`add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`add-log-exp_binary64` `distribute-lft-out_binary64`
2×	`div-inv_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 24

Calls

1 calls:

17.0ms

(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

simplify39.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4937	382
1	4937	382

prune36.0ms

Filtered

22 candidates to 27 candidates (-22.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	2	28

Merged error: 0.2b

Counts

28 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
2×	`associate-*r/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `flip-+_binary64`

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.f64 (*.f64 1.0 (neg.f64 1.0)) (*.f64 x (+.f64 1.0 x)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 (*.f64 1.0 (neg.f64 1.0)) (*.f64 x (+.f64 1.0 x)))

simplify22.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5451	311

prune26.0ms

Filtered

18 candidates to 27 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Merged error: 0.0b

Counts

29 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (*.f64 (/.f64 1.0 x) (neg.f64 1.0)) (+.f64 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
4×	`associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `flip-+_binary64` `associate-l/_binary64`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 (*.f64 (/.f64 1.0 x) (neg.f64 1.0)) (+.f64 1.0 x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/.f64 (*.f64 (/.f64 1.0 x) (neg.f64 1.0)) (+.f64 1.0 x))

simplify53.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4969	366
1	4969	366

prune28.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1.0 x))
0.0b	(*.f64 (/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x))) (/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x))))
0.1b	(/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x)))
0.1b	(/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

485×	`times-frac_binary64`
351×	`*-un-lft-identity_binary64`
312×	`add-sqr-sqrt_binary64`
253×	`add-cube-cbrt_binary64`
207×	`sqrt-prod_binary64`
97×	`associate-l_binary64`
76×	`associate-r_binary64`
49×	`distribute-lft-out_binary64`
45×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`associate-/l*_binary64`
19×	`div-inv_binary64`
15×	`neg-mul-1_binary64` `unswap-sqr_binary64`
14×	`associate-/r*_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`sqrt-div_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `distribute-frac-neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow1/2_binary64` `distribute-rgt-neg-out_binary64` `neg-sub0_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 460

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1.0 x))
103.0ms	(*.f64 (/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x))) (/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x))))
10.0ms	(/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x)))
8.0ms	(/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 1.0 x))
4.0ms	(*.f64 (/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x))) (/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x))))
13.0ms	(/.f64 (/.f64 1.0 x) (sqrt.f64 (+.f64 1.0 x)))
9.0ms	(/.f64 (neg.f64 1.0) (sqrt.f64 (+.f64 1.0 x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5126	7733

prune571.0ms

Filtered

280 candidates to 472 candidates (-68.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	471	4	475

Merged error: 0.0b

Counts

475 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	10
1	40	10

end0.0ms

sample490.0ms

Algorithm

intervals

Results

187.0ms	1985×	body	640	valid
106.0ms	4195×	body	80	valid
81.0ms	1196×	body	320	valid
29.0ms	624×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample18.0ms

simplify40.0ms

prune4.0ms

localize5.0ms

rewrite18.0ms

series5.0ms

simplify39.0ms

prune36.0ms

localize6.0ms

rewrite10.0ms

series4.0ms

simplify22.0ms

prune26.0ms

localize6.0ms

rewrite10.0ms

series4.0ms

simplify53.0ms

prune28.0ms

localize8.0ms

rewrite153.0ms

series31.0ms

simplify69.0ms

prune571.0ms

regimes30.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample490.0ms

Profiling