Details

sample370.0ms

Algorithm

intervals

Results

57.0ms

573×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	667	14
3	3125	14
4	5002	14

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 10.6b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.9b	(* (* (* w w) r) r)
5.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.9b	(* (* w w) r)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
8.0ms	(* (* (* w w) r) r)
18.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* w w) r)

series62.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
23.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.0ms	(* (* w w) r)

simplify100.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	670	1303
1	3876	935
2	5003	931

prune632.0ms

Filtered

131 candidates to 61 candidates (53.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	120	11	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	11	132

Merged error: 1.6b

Counts

132 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.9b	(/ 2.0 (* r r))
4.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

4.0ms	(* (fabs (* w r)) (fabs (* w r)))
4.0ms	(/ 2.0 (* r r))
8.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
13.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series46.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
13.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
22.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	559	1085
1	2754	841
2	5001	821

prune737.0ms

Filtered

117 candidates to 70 candidates (40.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	109	8	117
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.3b	(pow (fabs (* w r)) 2)
0.6b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
0.9b	(/ 2.0 (* r r))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

924×	`times-frac`
381×	`add-sqr-sqrt` `*-un-lft-identity`
299×	`add-cube-cbrt`
171×	`unpow-prod-down`
119×	`add-exp-log`
101×	`associate-/r*`
83×	`associate-/r/`
82×	`associate-*r/` `div-exp`
57×	`unpow2` `sqr-pow`
48×	`div-inv`
41×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
17×	`associate-/l*`
16×	`cbrt-undiv`
13×	`pow-to-exp` `pow-exp` `prod-exp`
10×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`div-sub`
1×	`pow-flip` `pow-pow` `associate-/l/` `inv-pow`

Counts

4 → 588

Calls

4 calls:

13.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
29.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
4.0ms	(/ 2.0 (* r r))

series59.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms	(pow (fabs (* w r)) 2)
28.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
3.0ms	(/ 2.0 (* r r))

simplify128.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2103	9954
1	5001	9025

prune9.7s

Filtered

600 candidates to 294 candidates (51.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	596	4	600
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	601	9	610

Merged error: 0.0b

Counts

610 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.2b	(/ (/ 2.0 r) r)
0.3b	(pow (fabs (* w r)) 2)
0.6b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

996×	`times-frac`
421×	`add-sqr-sqrt` `*-un-lft-identity`
339×	`add-cube-cbrt`
171×	`unpow-prod-down`
119×	`add-exp-log`
103×	`associate-/r*`
83×	`div-exp` `associate-/r/`
82×	`associate-*r/`
57×	`unpow2` `sqr-pow`
52×	`div-inv`
41×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
27×	`associate-/l*`
17×	`cbrt-undiv`
13×	`pow-to-exp` `pow-exp`
12×	`prod-exp`
10×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num`
2×	`div-sub` `cbrt-unprod` `associate-/l/`
1×	`pow-flip` `pow-pow` `inv-pow`

Counts

4 → 637

Calls

4 calls:

13.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
30.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms	(/ (/ 2.0 r) r)
3.0ms	(pow (fabs (* w r)) 2)
22.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify138.0ms

Algorithm

egg-herbie

Counts

649 → 649

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2312	10319
1	5001	9464

prune12.7s

Filtered

649 candidates to 338 candidates (47.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	647	2	649
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	647	11	658

Merged error: 0.0b

Counts

658 → 11

regimes421.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

16957×

body

valid

Details

sample370.0ms

simplify81.0ms

prune7.0ms

localize20.0ms

rewrite62.0ms

series62.0ms

simplify100.0ms

prune632.0ms

localize19.0ms

rewrite33.0ms

series46.0ms

simplify70.0ms

prune737.0ms

localize19.0ms

rewrite87.0ms

series59.0ms

simplify128.0ms

prune9.7s

localize20.0ms

rewrite100.0ms

series52.0ms

simplify138.0ms

prune12.7s

regimes421.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling