Details

Time bar (total: 6.9s)

sample306.0ms

Algorithm
intervals
Results
29.0ms540×body80valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize20.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* 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))
5.7b
(* (* (* w w) r) r)
9.7b
(* (* w w) r)

rewrite223.0ms

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:
82.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
88.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
35.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series215.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
74.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
32.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify100.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06701303
13876935
25003931

prune276.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(/ 2.0 (* r r))
2.7b
(* (* 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))

rewrite45.0ms

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)))
3.0ms
(/ 2.0 (* r r))
16.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
20.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series138.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
28.0ms
(/ 2.0 (* r r))
39.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
64.0ms
(/ (* (* 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 (62.0ms)

IterNodesCost
05591085
12754841
25001821

prune369.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
94×add-exp-log
80×*-un-lft-identity
78×associate-*r*
76×times-frac
72×cbrt-prod
50×add-cube-cbrt
38×prod-exp
37×add-cbrt-cube
33×div-exp
29×unpow-prod-down
26×cbrt-div
21×associate-*l*
20×cbrt-unprod
15×cbrt-undiv
14×pow1 distribute-lft-out--
13×flip3-- flip-- unswap-sqr
12×difference-of-squares
11×unpow2 sqr-pow
10×swap-sqr associate-/r/
9×frac-times
6×pow-to-exp pow1/3 pow-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-unpow pow-prod-down div-inv associate-/l*
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-pow frac-2neg pow-plus clear-num associate-/r*
Counts
4 → 229
Calls
4 calls:
20.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
85.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (pow (fabs (* w r)) 2) (cbrt (- 1.0 v))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
8.0ms
(pow (fabs (* w r)) 2)
24.0ms
(/ 2.0 (* r r))
63.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (pow (fabs (* w r)) 2) (cbrt (- 1.0 v))))

simplify56.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011923360
150022969

prune932.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
0.3b
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1))) (/ (pow (fabs (* w r)) (/ 2 2)) (cbrt (- 1.0 v))))
0.4b
(/ 2.0 (* r r))
1.8b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1)))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
286×add-exp-log
136×prod-exp
117×add-cbrt-cube
100×div-exp
99×add-sqr-sqrt
92×associate-*r*
88×*-un-lft-identity
81×times-frac
78×cbrt-unprod
74×cbrt-prod
59×add-cube-cbrt
52×cbrt-undiv
26×cbrt-div
24×unpow-prod-down
22×associate-*l*
18×pow1
14×frac-times
13×flip3-- flip-- distribute-lft-out--
11×pow-to-exp pow-exp difference-of-squares
10×swap-sqr associate-*l/ associate-/r/
8×associate-*r/ unswap-sqr sqr-pow
6×pow1/3 pow-prod-down
4×div-inv add-log-exp
3×*-commutative associate-/l*
2×pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r*
Counts
4 → 294
Calls
4 calls:
21.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
169.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1))) (/ (pow (fabs (* w r)) (/ 2 2)) (cbrt (- 1.0 v))))
3.0ms
(/ 2.0 (* r r))
57.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
60.0ms
(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1))) (/ (pow (fabs (* w r)) (/ 2 2)) (cbrt (- 1.0 v))))
31.0ms
(/ 2.0 (* r r))
300.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))) (/ (fabs (* w r)) (cbrt 1)))

simplify84.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
016585786
150015019

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04127
14127

end0.0ms

sample1.2s

Algorithm
intervals
Results
862.0ms16910×body80valid