Details

sample254.0ms

Algorithm

intervals

Results

227.0ms

522×

body

valid

simplify458.0ms

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: 11.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.0b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.0b	(* (* (* w w) r) r)
9.5b	(* (* w w) r)

rewrite51.0ms

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

series71.0ms

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)
19.0ms	(* (* w w) r)

simplify99.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (87.0ms)

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

prune170.0ms

Filtered

61 candidates to 131 candidates (-114.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	122	9	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	9	132

Merged error: 1.4b

Counts

132 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.4b	(/ 2.0 (* r r))
2.2b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.0b	(/ (* (* 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))))
13.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (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 (60.0ms)

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

prune222.0ms

Filtered

70 candidates to 117 candidates (-67.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	105	12	117
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Merged error: 0.0b

Counts

126 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.3b	(pow (fabs (* w r)) 2)
0.4b	(/ 2.0 (* r r))
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`prod-exp`
12×	`unpow2` `sqr-pow`
11×	`div-exp` `associate-/l*`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
2.0ms	(pow (fabs (* w r)) 2)
6.0ms	(/ 2.0 (* r r))
16.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
4.0ms	(pow (fabs (* w r)) 2)
3.0ms	(/ 2.0 (* r r))
21.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify96.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	788	1794
1	3591	1581
2	5003	1581

prune361.0ms

Filtered

117 candidates to 194 candidates (-65.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	197	12	209

Merged error: 0.0b

Counts

209 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(pow (fabs (* w r)) 2)
4.7b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
122×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
21×	`associate-/l*`
17×	`distribute-lft-out--` `difference-of-squares`
12×	`div-exp` `prod-exp` `unpow2` `sqr-pow`
10×	`pow1`
8×	`associate-/r*`
7×	`div-inv`
6×	`cbrt-undiv` `cbrt-unprod`
5×	`associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 231

Calls

4 calls:

7.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms	(/ (/ 2.0 r) r)
2.0ms	(pow (fabs (* w r)) 2)
16.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms	(/ (/ 2.0 r) r)
3.0ms	(pow (fabs (* w r)) 2)
24.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify109.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	998	2157
1	4526	1925
2	5001	1925

prune401.0ms

Filtered

151 candidates to 243 candidates (-60.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	240	15	255

Merged error: 0.0b

Counts

255 → 15

regimes455.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

16959×

body

valid

Details

sample254.0ms

simplify458.0ms

prune5.0ms

localize20.0ms

rewrite51.0ms

series71.0ms

simplify99.0ms

prune170.0ms

localize17.0ms

rewrite32.0ms

series45.0ms

simplify70.0ms

prune222.0ms

localize18.0ms

rewrite39.0ms

series43.0ms

simplify96.0ms

prune361.0ms

localize18.0ms

rewrite42.0ms

series46.0ms

simplify109.0ms

prune401.0ms

regimes455.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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