Details

Time bar (total: 9.3s)

analyze1.2s

Algorithm
search

sample46.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
11.0ms149×body80invalid

simplify443.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.1b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.6b
(* (* (* w w) r) r)
11.1b
(* (* w w) r)

rewrite67.0ms

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))
32.0ms
(/ (* (* 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)

series66.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
25.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
7.0ms
(* (* (* w w) r) r)
12.0ms
(* (* w w) r)

simplify105.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune186.0ms

Filtered
61 candidates to 131 candidates (-114.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12110131
Fresh000
Picked101
Done000
Total12210132

Merged error: 1.9b

Counts
132 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
2.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.5b
(/ (* (* 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:
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
4.0ms
(/ 2.0 (* r r))
10.0ms
(* (* 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))

series46.0ms

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))))
24.0ms
(/ (* (* 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 (60.0ms)

IterNodesCost
05591085
12754841
25001821

prune237.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh639
Picked101
Done000
Total11215127

Merged error: 0.0b

Counts
127 → 15

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 0.125 (- 3.0 (* 2.0 v)))
0.4b
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))
0.7b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
791×times-frac
325×add-sqr-sqrt
323×*-un-lft-identity
259×add-cube-cbrt
135×unpow-prod-down
97×add-exp-log
93×associate-/r*
67×div-exp
66×associate-*r/
65×associate-/r/
45×unpow2 sqr-pow
38×div-inv
33×flip3-- flip--
32×distribute-lft-out-- difference-of-squares
25×add-cbrt-cube
11×cbrt-undiv prod-exp
10×pow-to-exp rec-exp 1-exp pow-exp
8×pow1
6×associate-/l*
4×add-log-exp
3×pow-unpow associate-*r* associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
1×pow-flip pow-pow pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 481
Calls
4 calls:
6.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
2.0ms
(pow (fabs (* w r)) 2)
4.0ms
(/ 2.0 (* r r))
25.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 0.125 (- 3.0 (* 2.0 v)))
4.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
23.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify117.0ms

Algorithm
egg-herbie
Counts
493 → 493
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
020467936
150027107

prune1.0s

Filtered
233 candidates to 493 candidates (-111.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New48211493
Fresh11314
Picked101
Done000
Total49414508

Merged error: 0.0b

Counts
508 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))
0.7b
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
1974×times-frac
1012×add-sqr-sqrt *-un-lft-identity
766×add-cube-cbrt
321×unpow-prod-down
181×associate-/r*
123×distribute-lft-out-- difference-of-squares
107×unpow2 sqr-pow
83×associate-/r/
72×add-exp-log
52×div-exp
48×div-inv
41×flip3-- flip--
27×associate-/l*
23×add-cbrt-cube
11×cbrt-undiv
9×pow-to-exp pow-exp
7×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num
2×div-sub
1×pow-flip pow-pow prod-exp cbrt-unprod associate-/l/ inv-pow
Counts
4 → 984
Calls
4 calls:
13.0ms
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
2.0ms
(pow (fabs (* w r)) 2)
4.0ms
(/ 2.0 (* r r))
39.0ms
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2))
4.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
21.0ms
(/ 1 (/ (/ (- 1.0 v) (- 0.375 (* 0.25 v))) (pow (fabs (* w r)) 2)))

simplify229.0ms

Algorithm
egg-herbie
Counts
996 → 996
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0311918366
1500217167

prune2.4s

Filtered
456 candidates to 996 candidates (-118.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9879996
Fresh8513
Picked101
Done000
Total996141010

Merged error: 0.0b

Counts
1010 → 14

regimes458.0ms

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)

IterNodesCost
03014
13014

end0.0ms

analyze914.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
570.0ms8000×body80valid
353.0ms4938×body80invalid

Profiling

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