Details

Time bar (total: 6.6s)

sample301.0ms

Algorithm
intervals
Results
31.0ms533×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

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: 12.3b

Counts
2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.7b
(* (* (* w w) r) r)
11.1b
(* (* 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:
13.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* 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) r)
9.0ms
(* (* w w) r)

series230.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
72.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
42.0ms
(* (* (* w w) r) r)
27.0ms
(* (* w w) r)

simplify108.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06701303
13876935
25003931

prune262.0ms

Filtered
131 candidates to 61 candidates (46.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1247131
Fresh000
Picked101
Done000
Total1257132

Merged error: 1.9b

Counts
132 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
3.9b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.8b
(/ (* (* 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:
4.0ms
(* (fabs (* w r)) (fabs (* w r)))
5.0ms
(/ 2.0 (* r 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))

series140.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (fabs (* w r)) (fabs (* w r)))
26.0ms
(/ 2.0 (* r r))
40.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
63.0ms
(/ (* (* 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

prune346.0ms

Filtered
117 candidates to 70 candidates (59.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10710117
Fresh246
Picked101
Done000
Total11014124

Merged error: 0.0b

Counts
124 → 14

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
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))
0.6b
(/ 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))
2.0ms
(pow (fabs (* w r)) 2)
5.0ms
(/ 2.0 (* r r))
30.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
30.0ms
(/ 2.0 (* r r))
59.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify138.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
021039956
150029027

prune1.4s

Filtered
600 candidates to 295 candidates (49.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New5919600
Fresh11213
Picked101
Done000
Total60311614

Merged error: 0.0b

Counts
614 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ 3.0 (/ 2.0 (* r r))) (/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))) 4.5)
0.3b
(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))
0.3b
(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
409×times-frac
231×*-un-lft-identity
224×add-sqr-sqrt
162×add-cube-cbrt
71×associate-/r*
35×add-exp-log add-cbrt-cube distribute-lft-out--
31×difference-of-squares
25×associate-/l*
21×associate-/r/
17×cbrt-undiv div-exp
15×div-inv
13×add-log-exp
11×flip3-- flip--
5×diff-log
4×pow1 prod-exp associate--l+ cbrt-unprod
3×frac-2neg clear-num
2×sub-neg div-sub
1×associate--l- sum-log associate-/l/ distribute-lft-out
Counts
4 → 304
Calls
4 calls:
37.0ms
(- (- (+ 3.0 (/ 2.0 (* r r))) (/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))) 4.5)
21.0ms
(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))
11.0ms
(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
5.0ms
(/ 2.0 (* r r))

series261.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(- (- (+ 3.0 (/ 2.0 (* r r))) (/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))) 4.5)
93.0ms
(/ (* (fabs (* w r)) 0.125) (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r))))
41.0ms
(/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (fabs (* w r)))
27.0ms
(/ 2.0 (* r r))

simplify79.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014335052
150024811

prune1.0s

Filtered
316 candidates to 235 candidates (74.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New3142316
Fresh1910
Picked011
Done000
Total31512327

Merged error: 0.0b

Counts
327 → 12

regimes262.0ms

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
02616
12616

end0.0ms

sample1.3s

Algorithm
intervals
Results
962.0ms17200×body80valid

Profiling

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