Details

sample250.0ms

Algorithm

intervals

Results

225.0ms

536×

body

valid

simplify79.0ms

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

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: 11.4b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
3.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.7b	(* (* (* w w) r) r)
10.2b	(* (* w w) r)

rewrite58.0ms

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)

series61.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
23.0ms	(/ (* (* 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 (87.0ms)

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

prune164.0ms

Filtered

131 candidates to 61 candidates (53.4%)

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: 1.4b

Counts

132 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))
2.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
3.9b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite32.0ms

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))

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))
16.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
22.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify70.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	559	1085
1	2754	841
2	5001	823

prune206.0ms

Filtered

117 candidates to 70 candidates (40.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	107	10	117
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	110	14	124

Merged error: 0.0b

Counts

124 → 14

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)
0.4b	(/ 2.0 (* r r))
5.2b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite40.0ms

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:

9.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
4.0ms	(/ 2.0 (* r r))
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.0ms	(pow (fabs (* w r)) 2)
3.0ms	(/ 2.0 (* r r))
21.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify105.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	971	2431
1	4194	2156
2	5002	2156

prune406.0ms

Filtered

235 candidates to 136 candidates (42.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	227	8	235
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	236	13	249

Merged error: 0.0b

Counts

249 → 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)
5.2b	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite46.0ms

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)
15.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.0ms	(/ (/ 2.0 r) r)
3.0ms	(pow (fabs (* w r)) 2)
21.0ms	(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1180	2794
1	5001	2504

prune416.0ms

Filtered

284 candidates to 170 candidates (40.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	284	13	297

Merged error: 0.0b

Counts

297 → 13

regimes362.0ms

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	26	14
1	26	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

17228×

body

valid

Details

sample250.0ms

simplify79.0ms

prune5.0ms

localize19.0ms

rewrite58.0ms

series61.0ms

simplify100.0ms

prune164.0ms

localize17.0ms

rewrite32.0ms

series45.0ms

simplify70.0ms

prune206.0ms

localize18.0ms

rewrite40.0ms

series43.0ms

simplify105.0ms

prune406.0ms

localize18.0ms

rewrite46.0ms

series43.0ms

simplify52.0ms

prune416.0ms

regimes362.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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