Details

Time bar (total: 10.1s)

sample298.0ms

Algorithm
intervals
Results
29.0ms526×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune6.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

Counts
2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.8b
(* (* (* w w) r) r)
6.8b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.6b
(* (* w w) r)

rewrite55.0ms

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:
14.0ms
(* (* 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))
9.0ms
(* (* w w) r)

series221.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (* 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))
26.0ms
(* (* w w) r)

simplify106.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06701303
13876935
25003931

prune277.0ms

Filtered
131 candidates to 61 candidates (46.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1238131
Fresh000
Picked101
Done000
Total1248132

Merged error: 2.4b

Counts
132 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* r r))
0.4b
(* (fabs (* w r)) (fabs (* w r)))
2.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.8b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite35.0ms

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

series135.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 2.0 (* r r))
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
39.0ms
(* (* 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))

simplify74.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05591085
12754841
25001821

prune360.0ms

Filtered
117 candidates to 70 candidates (59.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh617
Picked101
Done000
Total11213125

Merged error: 0.0b

Counts
125 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.4b
(/ 2.0 (* r r))
0.4b
(pow (fabs (* w r)) 2)
0.9b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite100.0ms

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:
14.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
5.0ms
(/ 2.0 (* r r))
2.0ms
(pow (fabs (* w r)) 2)
31.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
27.0ms
(/ 2.0 (* r r))
8.0ms
(pow (fabs (* w r)) 2)
57.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify132.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
021039956
150029027

prune1.5s

Filtered
600 candidates to 294 candidates (49.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5955600
Fresh8412
Picked101
Done000
Total6049613

Merged error: 0.0b

Counts
613 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2))))
0.4b
(/ 2.0 (* r r))
0.4b
(pow (fabs (* w r)) 2)
0.9b
(/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2)))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
2066×times-frac
1068×add-sqr-sqrt
838×*-un-lft-identity
727×sqrt-prod
637×add-cube-cbrt
353×associate-*r*
317×unpow-prod-down
189×add-exp-log
121×associate-/r/
119×associate-*r/ unpow2 sqr-pow
117×associate-/r*
113×div-exp
95×unswap-sqr
70×div-inv
59×flip3-- flip-- distribute-lft-out-- difference-of-squares
53×prod-exp
47×associate-*l*
35×add-cbrt-cube
33×rec-exp 1-exp
16×pow-to-exp pow-exp
14×cbrt-undiv
10×pow1
7×cbrt-unprod
6×associate-/l*
4×add-log-exp
3×pow-unpow pow-flip pow-prod-down inv-pow
2×frac-2neg clear-num
1×frac-times pow-pow sqrt-div associate-*l/ un-div-inv *-commutative
Counts
4 → 1101
Calls
4 calls:
288.0ms
(* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2))))
5.0ms
(/ 2.0 (* r r))
2.0ms
(pow (fabs (* w r)) 2)
32.0ms
(/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2)))

series579.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2))))
24.0ms
(/ 2.0 (* r r))
8.0ms
(pow (fabs (* w r)) 2)
330.0ms
(/ 1 (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) 2)))

simplify276.0ms

Algorithm
egg-herbie
Counts
1113 → 1113
Iterations

Useful iterations: 1 (68.0ms)

IterNodesCost
0414023965
1500222524

prune3.6s

Filtered
1113 candidates to 541 candidates (48.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New110941113
Fresh448
Picked101
Done000
Total111481122

Merged error: 0.0b

Counts
1122 → 8

regimes190.0ms

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)

IterNodesCost
03524
13524

end0.0ms

sample1.3s

Algorithm
intervals
Results
905.0ms17036×body80valid