Details

sample250.0ms

Algorithm

intervals

Results

224.0ms

533×

body

valid

simplify80.0ms

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

prune5.0ms

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: 12.1b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.1b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.4b	(* (* (* w w) r) r)
10.4b	(* (* w w) r)

rewrite57.0ms

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:

19.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
17.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms	(* (* (* w w) r) r)
8.0ms	(* (* w w) r)

series64.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
24.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms	(* (* (* w w) r) r)
11.0ms	(* (* w w) r)

simplify100.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (88.0ms)

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

prune186.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

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: 1.1b

Counts

132 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))
3.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.1b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite34.0ms

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:

3.0ms	(* (fabs (* w r)) (fabs (* w r)))
6.0ms	(/ 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))

series43.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
14.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
23.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (59.0ms)

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

prune224.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	105	12	117
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	112	16	128

Merged error: 0.0b

Counts

128 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
0.9b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

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)
4.0ms	(/ 2.0 (* r r))
26.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
4.0ms	(pow (fabs (* w r)) 2)
3.0ms	(/ 2.0 (* r r))
21.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify131.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2103	9954
1	5001	9025

prune1.4s

Filtered

294 candidates to 600 candidates (-104.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	593	7	600
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	601	15	616

Merged error: 0.0b

Counts

616 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 r) r)
0.3b	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.9b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite91.0ms

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:

6.0ms	(/ (/ 2.0 r) r)
13.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
25.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (/ 2.0 r) r)
24.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
4.0ms	(pow (fabs (* w r)) 2)
22.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify137.0ms

Algorithm

egg-herbie

Counts

649 → 649

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2312	10317
1	5001	9457

prune1.7s

Filtered

339 candidates to 649 candidates (-91.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	648	1	649
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	649	15	664

Merged error: 0.0b

Counts

664 → 15

regimes442.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

17249×

body

valid

Details

sample250.0ms

simplify80.0ms

prune5.0ms

localize19.0ms

rewrite57.0ms

series64.0ms

simplify100.0ms

prune186.0ms

localize18.0ms

rewrite34.0ms

series43.0ms

simplify69.0ms

prune224.0ms

localize20.0ms

rewrite87.0ms

series58.0ms

simplify131.0ms

prune1.4s

localize22.0ms

rewrite91.0ms

series57.0ms

simplify137.0ms

prune1.7s

regimes442.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.8s

Profiling