Details

sample295.0ms

Algorithm

intervals

Results

31.0ms

590×

body

valid

simplify86.0ms

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: 12.7b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.1b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.2b	(* (* (* w w) r) r)
11.3b	(* (* w w) r)

rewrite53.0ms

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))
17.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms	(* (* (* w w) r) r)
9.0ms	(* (* w w) r)

series235.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
75.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
46.0ms	(* (* (* w w) r) r)
27.0ms	(* (* w w) r)

simplify110.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (93.0ms)

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

prune285.0ms

Filtered

131 candidates to 61 candidates (46.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	8	132

Merged error: 2.7b

Counts

132 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
4.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.1b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
4.0ms	(/ 2.0 (* r r))
9.0ms	(* (* 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))

series188.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
27.0ms	(/ 2.0 (* r r))
41.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
65.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify71.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	568	1070
1	2756	839
2	5001	823

prune363.0ms

Filtered

116 candidates to 72 candidates (62.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	10	116
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	112	12	124

Merged error: 0.0b

Counts

124 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (fabs (* w r)) 2)
0.4b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
0.5b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

791×	`times-frac`
325×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
259×	`add-cube-cbrt`
135×	`unpow-prod-down`
97×	`add-exp-log`
93×	`associate-/r*`
67×	`div-exp`
66×	`associate-*r/`
65×	`associate-/r/`
45×	`unpow2` `sqr-pow`
38×	`div-inv`
33×	`flip3--` `flip--`
32×	`distribute-lft-out--` `difference-of-squares`
25×	`add-cbrt-cube`
11×	`cbrt-undiv` `prod-exp`
10×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
8×	`pow1`
6×	`associate-/l*`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num`
1×	`pow-flip` `pow-pow` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 481

Calls

4 calls:

5.0ms	(pow (fabs (* w r)) 2)
5.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
4.0ms	(/ 2.0 (* r r))
27.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow (fabs (* w r)) 2)
57.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
24.0ms	(/ 2.0 (* r r))
66.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify122.0ms

Algorithm

egg-herbie

Counts

493 → 493

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2046	7938
1	5001	7109

prune1.3s

Filtered

493 candidates to 234 candidates (47.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	484	9	493
Fresh	9	2	11
Picked	1	0	1
Done	0	0	0
Total	494	11	505

Merged error: 0.0b

Counts

505 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
0.5b	(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

1974×	`times-frac`
1012×	`add-sqr-sqrt` `*-un-lft-identity`
766×	`add-cube-cbrt`
321×	`unpow-prod-down`
181×	`associate-/r*`
123×	`distribute-lft-out--` `difference-of-squares`
107×	`unpow2` `sqr-pow`
83×	`associate-/r/`
72×	`add-exp-log`
52×	`div-exp`
48×	`div-inv`
41×	`flip3--` `flip--`
27×	`associate-/l*`
23×	`add-cbrt-cube`
11×	`cbrt-undiv`
9×	`pow-to-exp` `pow-exp`
7×	`rec-exp` `1-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num`
2×	`div-sub`
1×	`pow-flip` `pow-pow` `prod-exp` `cbrt-unprod` `associate-/l/` `inv-pow`

Counts

4 → 984

Calls

4 calls:

13.0ms	(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
41.0ms	(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
8.0ms	(pow (fabs (* w r)) 2)
24.0ms	(/ 2.0 (* r r))
63.0ms	(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

simplify232.0ms

Algorithm

egg-herbie

Counts

996 → 996

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	3119	18368
1	5002	17169

prune2.5s

Filtered

996 candidates to 457 candidates (45.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	989	7	996
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	997	10	1007

Merged error: 0.0b

Counts

1007 → 10

regimes220.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

875.0ms

17106×

body

valid