Details

sample52.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

34.0ms

256×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	132	86
1	557	78
2	2622	41
3	5001	41

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 31.4b

Counts

2 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) 0.0001789971)
0.2b	(* (* x x) 0.0072644182)
14.8b	(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
27.3b	(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
120×	`associate-*r/` `frac-add`
102×	`flip3-+` `flip-+`
72×	`add-sqr-sqrt`
71×	`associate-/r/`
70×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-/r*`
21×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `associate-/l/`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 219

Calls

4 calls:

5.0ms	(* (* x x) 0.0001789971)
5.0ms	(* (* x x) 0.0072644182)
28.0ms	(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
33.0ms	(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x x) 0.0001789971)
3.0ms	(* (* x x) 0.0072644182)
22.0ms	(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
19.0ms	(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify164.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1774	14284
1	5001	13786

prune3.8s

Filtered

195 candidates to 231 candidates (-18.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	231	2	233

Merged error: 0b

Counts

233 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.15298196345929327 (/ 1 (pow x 5)))
0.0b	(* 0.2514179000665375 (/ 1 (pow x 3)))
0.1b	(/ 1 (pow x 5))
0.5b	(/ 1 (pow x 3))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
118×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
65×	`associate-r`
62×	`add-exp-log`
46×	`unpow-prod-down`
24×	`div-exp`
23×	`cube-prod`
20×	`prod-exp`
19×	`associate-/r*`
18×	`add-cbrt-cube` `sqr-pow`
16×	`unswap-sqr`
12×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
8×	`pow1`
7×	`cube-mult` `unpow3`
6×	`associate-l` `associate-/l*`
4×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 259

Calls

4 calls:

10.0ms	(* 0.15298196345929327 (/ 1 (pow x 5)))
15.0ms	(* 0.2514179000665375 (/ 1 (pow x 3)))
5.0ms	(/ 1 (pow x 5))
6.0ms	(/ 1 (pow x 3))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 0.15298196345929327 (/ 1 (pow x 5)))
3.0ms	(* 0.2514179000665375 (/ 1 (pow x 3)))
4.0ms	(/ 1 (pow x 5))
3.0ms	(/ 1 (pow x 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	631	1184
1	3260	864
2	5001	864

prune290.0ms

Filtered

122 candidates to 271 candidates (-122.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	271	2	273

Merged error: 0b

Counts

273 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.265709700396151 (pow x 5))
0.1b	(* 0.6665536072 (pow x 3))
19.4b	(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `sub-neg` `flip3--` `unpow3` `associate--l+` `sum-log` `flip--`

Counts

3 → 70

Calls

3 calls:

5.0ms	(* 0.265709700396151 (pow x 5))
6.0ms	(* 0.6665536072 (pow x 3))
6.0ms	(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 0.265709700396151 (pow x 5))
4.0ms	(* 0.6665536072 (pow x 3))
8.0ms	(- (+ (* 1.0 x) (* 0.265709700396151 (pow x 5))) (* 0.6665536072 (pow x 3)))

simplify45.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	281	389
1	1209	356
2	5001	352

prune103.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 31.5b

bsearch99.0ms

Steps

Iters	Range		Point
10	0.0008781609146328671	34000587702.198753	1.1450122779745464
9	-59010.81123359899	-4.760394848341776e-05	-1.178329079195155

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	17
1	45	17

end0.0ms

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

975.0ms

8000×

body

valid

Details

sample52.0ms

simplify108.0ms

prune13.0ms

localize47.0ms

rewrite90.0ms

series47.0ms

simplify164.0ms

prune3.8s

localize14.0ms

rewrite47.0ms

series15.0ms

simplify71.0ms

prune290.0ms

localize11.0ms

rewrite19.0ms

series16.0ms

simplify45.0ms

prune103.0ms

regimes36.0ms

bsearch99.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling