Details

sample307.0ms

Algorithm

intervals

Results

40.0ms

556×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 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: 10.5b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.5b	(* (* (* w w) r) r)
9.2b	(* (* w w) r)

rewrite55.0ms

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))
18.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* (* w w) r) r)
9.0ms	(* (* w w) r)

series221.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
71.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
39.0ms	(* (* (* w w) r) r)
26.0ms	(* (* w w) r)

simplify107.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (91.0ms)

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

prune247.0ms

Filtered

131 candidates to 61 candidates (46.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Merged error: 1.9b

Counts

132 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))
3.1b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite35.0ms

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)))
5.0ms	(/ 2.0 (* r r))
9.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
14.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series133.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (fabs (* w r)) (fabs (* w r)))
26.0ms	(/ 2.0 (* r r))
38.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
61.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify74.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (63.0ms)

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

prune324.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	106	11	117
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	110	14	124

Merged error: 0.0b

Counts

124 → 14

localize23.0ms

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)
0.5b	(/ 2.0 (* r r))
0.8b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite96.0ms

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:

14.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
5.0ms	(/ 2.0 (* r r))
29.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
7.0ms	(pow (fabs (* w r)) 2)
29.0ms	(/ 2.0 (* r r))
56.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify136.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2103	9956
1	5002	9027

prune1.3s

Filtered

600 candidates to 295 candidates (49.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	592	8	600
Fresh	11	2	13
Picked	1	0	1
Done	0	0	0
Total	604	10	614

Merged error: 0.0b

Counts

614 → 10

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)
0.8b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite104.0ms

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:

14.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
7.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
31.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
29.0ms	(/ (/ 2.0 r) r)
8.0ms	(pow (fabs (* w r)) 2)
56.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify145.0ms

Algorithm

egg-herbie

Counts

649 → 649

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2312	10319
1	5001	9459

prune1.4s

Filtered

649 candidates to 340 candidates (52.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	648	1	649
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	649	10	659

Merged error: 0.0b

Counts

659 → 10

regimes211.0ms

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

sample1.5s

Algorithm

intervals

Results

1.1s

16719×

body

valid