Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	461	10
1	461	10

prune9.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64_574`
28×	`add-sqr-sqrt_binary64_559`
24×	`times-frac_binary64_569`
13×	`add-cube-cbrt_binary64_545`
10×	`difference-of-squares_binary64_603`
7×	`distribute-lft-out_binary64_618`
6×	`associate-/r*_binary64_637`
5×	`distribute-lft-out--_binary64_619`
4×	`associate-/l*_binary64_638`
3×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
2×	`associate-/r/_binary64_639` `associate-/l/_binary64_640`
1×	`flip3--_binary64_573` `pow1_binary64_520` `div-inv_binary64_575` `div-exp_binary64_527` `flip3-+_binary64_572` `frac-2neg_binary64_567` `flip-+_binary64_599` `clear-num_binary64_577` `flip--_binary64_600` `cbrt-undiv_binary64_544` `add-log-exp_binary64_539`

Counts

1 → 50

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify87.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5127	942

prune144.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

186×	`*-un-lft-identity_binary64_574`
124×	`add-sqr-sqrt_binary64_559`
120×	`times-frac_binary64_569`
66×	`cbrt-prod_binary64_541`
61×	`add-cube-cbrt_binary64_545`
60×	`unpow-prod-down_binary64_509` `cube-prod_binary64_547`
42×	`difference-of-squares_binary64_603`
31×	`distribute-lft-out_binary64_618`
21×	`distribute-lft-out--_binary64_619`
10×	`associate-/r/_binary64_639`
8×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
6×	`associate-/r*_binary64_637`
5×	`flip3--_binary64_573` `div-inv_binary64_575` `flip--_binary64_600`
4×	`pow1_binary64_520` `associate-/l*_binary64_638`
3×	`pow-unpow_binary64_507` `add-log-exp_binary64_539`
2×	`sqr-pow_binary64_606` `associate-/l/_binary64_640` `rem-cube-cbrt_binary64_550` `pow-exp_binary64_498` `cube-div_binary64_548` `div-exp_binary64_527` `unpow3_binary64_518` `cbrt-undiv_binary64_544` `cube-mult_binary64_549`
1×	`pow1/3_binary64_512` `pow-to-exp_binary64_499` `cbrt-div_binary64_542` `rem-cbrt-cube_binary64_551` `flip3-+_binary64_572` `frac-2neg_binary64_567` `flip-+_binary64_599` `pow-pow_binary64_502` `clear-num_binary64_577`

Counts

3 → 206

Calls

3 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
12.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)

series36.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
15.0ms	(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)

simplify103.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4994	4398
1	4994	4398

prune497.0ms

Filtered

89 candidates to 215 candidates (-141.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 1 x))
5.5b	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
17.3b	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity_binary64_574`
134×	`add-sqr-sqrt_binary64_559`
97×	`times-frac_binary64_569`
72×	`difference-of-squares_binary64_603`
54×	`associate-l_binary64_634`
39×	`add-cube-cbrt_binary64_545`
26×	`distribute-lft-out_binary64_618`
18×	`sqr-pow_binary64_606` `unpow-prod-down_binary64_509` `cube-prod_binary64_547`
12×	`associate-/r*_binary64_637`
10×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
9×	`distribute-lft-out--_binary64_619`
5×	`pow1_binary64_520` `add-log-exp_binary64_539`
4×	`associate-/r/_binary64_639` `associate-/l_binary64_638` `flip3-+_binary64_572` `flip-+_binary64_599` `associate-r*_binary64_633`
2×	`frac-times_binary64_566` `flip3--_binary64_573` `div-inv_binary64_575` `associate-/l/_binary64_640` `unswap-sqr_binary64_602` `div-exp_binary64_527` `cbrt-unprod_binary64_543` `flip--_binary64_600` `cbrt-undiv_binary64_544` `prod-exp_binary64_525` `associate-*r/_binary64_635`
1×	`distribute-rgt-out_binary64_620` `+-commutative_binary64_641` `frac-2neg_binary64_567` `clear-num_binary64_577` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `associate-l/_binary64_636` `-commutative_binary64_642` `sum-log_binary64_489` `pow-prod-down_binary64_501`

Counts

3 → 172

Calls

3 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 1 x))
12.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
26.0ms	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

series80.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 (.f64 x x) (.f64 1 x))
21.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))
25.0ms	(.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1 1) (+.f64 (.f64 x x) (.f64 1 x))))

simplify99.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5008	4459

prune391.0ms

Filtered

110 candidates to 181 candidates (-64.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	181	4	185

Merged error: 0b

Counts

185 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
0.5b	(/.f64 2 (*.f64 x x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_574`
7×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
4×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
3×	`associate-/l*_binary64_638` `times-frac_binary64_569`
2×	`pow1_binary64_520` `div-exp_binary64_527` `distribute-lft-out_binary64_618` `cbrt-undiv_binary64_544` `sum-log_binary64_489` `frac-add_binary64_564`
1×	`flip3--_binary64_573` `associate-+r+_binary64_625` `+-commutative_binary64_641` `div-inv_binary64_575` `associate-+r-_binary64_627` `flip3-+_binary64_572` `frac-2neg_binary64_567` `flip-+_binary64_599` `distribute-lft-out--_binary64_619` `cbrt-unprod_binary64_543` `diff-log_binary64_490` `clear-num_binary64_577` `sub-neg_binary64_578` `associate-/r*_binary64_637` `flip--_binary64_600` `prod-exp_binary64_525`

Counts

2 → 39

Calls

2 calls:

17.0ms	(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
5.0ms	(/.f64 2 (*.f64 x x))

series32.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
20.0ms	(/.f64 2 (*.f64 x x))

simplify84.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5645	689

prune98.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	45	4	49

Merged error: 0b

Counts

49 → 4

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample291.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

analyze3.0ms

sample14.0ms

simplify45.0ms

prune9.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify87.0ms

prune144.0ms

localize11.0ms

rewrite47.0ms

series36.0ms

simplify103.0ms

prune497.0ms

localize26.0ms

rewrite52.0ms

series80.0ms

simplify99.0ms

prune391.0ms

localize10.0ms

rewrite23.0ms

series32.0ms

simplify84.0ms

prune98.0ms

regimes111.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample291.0ms

Profiling