Details

sample294.0ms

Algorithm

intervals

Results

31.0ms

538×

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: 14.0b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.6b	(* (* (* w w) r) r)
6.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.4b	(* (* w w) r)

rewrite54.0ms

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)

series221.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
32.0ms	(* (* (* w w) r) r)
77.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms	(* (* w w) r)

simplify109.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (91.0ms)

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

prune266.0ms

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: 1.6b

Counts

132 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
3.6b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.9b	(/ (* (* 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:

5.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w 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))

series136.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
38.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
62.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (63.0ms)

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

prune333.0ms

Filtered

117 candidates to 70 candidates (59.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	112	13	125

Merged error: 0.0b

Counts

125 → 13

localize25.0ms

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)
0.7b	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite92.0ms

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:

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

series151.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 2.0 (* r r))
54.0ms	(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
14.0ms	(pow (fabs (* w r)) 2)
56.0ms	(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify133.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2103	9956
1	5002	9027

prune1.4s

Filtered

600 candidates to 295 candidates (49.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	593	7	600
Fresh	9	3	12
Picked	1	0	1
Done	0	0	0
Total	603	10	613

Merged error: 0.0b

Counts

613 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 v) (- 3.0 (* 2.0 v)))
0.2b	(/ 2.0 (* r r))
0.3b	(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
0.3b	(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

424×	`times-frac`
240×	`add-sqr-sqrt` `*-un-lft-identity`
172×	`add-cube-cbrt`
74×	`associate-/r*`
37×	`add-exp-log` `add-cbrt-cube`
34×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/l*`
23×	`associate-/r/`
18×	`cbrt-undiv` `div-exp`
16×	`div-inv`
12×	`flip3--` `flip--`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`

Counts

4 → 322

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (- 3.0 (* 2.0 v)))
5.0ms	(/ 2.0 (* r r))
14.0ms	(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
18.0ms	(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (- 1.0 v) (- 3.0 (* 2.0 v)))
28.0ms	(/ 2.0 (* r r))
40.0ms	(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
94.0ms	(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))

simplify82.0ms

Algorithm

egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1399	4878
1	5001	4640

prune1.0s

Filtered

334 candidates to 252 candidates (75.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	334	10	344

Merged error: 0.0b

Counts

344 → 10

regimes207.0ms

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	26	16
1	26	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

934.0ms

16882×

body

valid