Details

sample266.0ms

Algorithm

intervals

Results

231.0ms

575×

body

valid

simplify349.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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

prune6.0ms

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: 13.9b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.3b	(* (* (* w w) r) r)
7.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.4b	(* (* w w) r)

rewrite60.0ms

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:

12.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
17.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms	(* (* w w) r)

series64.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
7.0ms	(* (* (* w w) r) r)
25.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
11.0ms	(* (* w w) r)

simplify101.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (88.0ms)

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

prune179.0ms

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: 2.2b

Counts

132 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
4.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.3b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite31.0ms

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)))
4.0ms	(/ 2.0 (* r r))
8.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
12.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series47.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (61.0ms)

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

prune210.0ms

Filtered

117 candidates to 70 candidates (40.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	113	15	128

Merged error: 0.1b

Counts

128 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.6b	(/ 2.0 (* r r))
3.0b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

167×	`times-frac`
117×	`add-sqr-sqrt` `*-un-lft-identity`
67×	`add-cube-cbrt`
53×	`associate-/r*`
51×	`unpow-prod-down`
39×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`add-cbrt-cube`
19×	`div-exp`
17×	`unpow2` `sqr-pow`
9×	`cbrt-undiv` `associate-/l*`
5×	`pow1` `prod-exp` `div-inv`
4×	`pow-to-exp` `pow-exp` `associate-/l/` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`pow-pow` `div-sub` `associate-/r/`

Counts

4 → 223

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
16.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
4.0ms	(pow (fabs (* w r)) 2)
3.0ms	(/ 2.0 (* r r))
22.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify106.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	971	2431
1	4166	2156
2	5001	2156

prune414.0ms

Filtered

235 candidates to 137 candidates (41.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	229	6	235
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	237	13	250

Merged error: 0.1b

Counts

250 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

239×	`times-frac`
157×	`add-sqr-sqrt` `*-un-lft-identity`
107×	`add-cube-cbrt`
55×	`associate-/r*`
51×	`unpow-prod-down`
39×	`add-exp-log`
25×	`distribute-lft-out--` `difference-of-squares`
23×	`add-cbrt-cube`
20×	`div-exp`
19×	`associate-/l*`
17×	`unpow2` `sqr-pow`
10×	`cbrt-undiv`
9×	`div-inv`
5×	`pow1` `associate-/l/`
4×	`pow-to-exp` `pow-exp` `prod-exp` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num`
2×	`flip3--` `associate-*r/` `flip--` `cbrt-unprod`
1×	`pow-pow` `div-sub` `associate-/r/`

Counts

4 → 272

Calls

4 calls:

7.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
14.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.0ms	(/ (/ 2.0 r) r)
4.0ms	(pow (fabs (* w r)) 2)
23.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify57.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1180	2794
1	5001	2504

prune453.0ms

Filtered

284 candidates to 171 candidates (39.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	282	15	297

Merged error: 0.0b

Counts

297 → 15

regimes457.0ms

Accuracy

0% (0.3b 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	27	14
1	27	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

16928×

body

valid

Details

sample266.0ms

simplify349.0ms

prune6.0ms

localize21.0ms

rewrite60.0ms

series64.0ms

simplify101.0ms

prune179.0ms

localize18.0ms

rewrite31.0ms

series47.0ms

simplify72.0ms

prune210.0ms

localize18.0ms

rewrite39.0ms

series45.0ms

simplify106.0ms

prune414.0ms

localize18.0ms

rewrite43.0ms

series46.0ms

simplify57.0ms

prune453.0ms

regimes457.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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