Details

Time bar (total: 12.0s)

sample306.0ms

Algorithm
intervals
Results
35.0ms542×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize30.0ms

Local error

Found 4 expressions with local error:

5.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.8b
(* (* (* w w) r) r)
8.7b
(* (* w w) r)

rewrite463.0ms

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:
185.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
190.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
60.0ms
(* (* (* w w) r) r)
21.0ms
(* (* w w) r)

series198.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
63.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
33.0ms
(* (* (* w w) r) r)
25.0ms
(* (* w w) r)

simplify102.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06701303
13876935
25003931

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(/ 2.0 (* r r))
5.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite108.0ms

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:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))
41.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
48.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series124.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))
35.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
57.0ms
(/ (* (* 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

prune556.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

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

rewrite135.0ms

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:
34.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
3.0ms
(pow (fabs (* w r)) 2)
51.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
8.0ms
(/ 2.0 (* r r))

series145.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
7.0ms
(pow (fabs (* w r)) 2)
52.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
31.0ms
(/ 2.0 (* r r))

simplify128.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
021039956
150019027

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
570×times-frac
277×sqrt-prod
247×add-sqr-sqrt
237×*-un-lft-identity
185×add-cube-cbrt
129×unpow-prod-down
110×associate-/r*
93×add-exp-log
52×associate-/r/
50×associate-*r/ div-exp
47×associate-*l*
43×sqr-pow
37×add-cbrt-cube
31×div-inv
25×flip3-- flip-- distribute-lft-out-- difference-of-squares
21×prod-exp
18×associate-/l*
15×cbrt-undiv
7×cbrt-unprod
6×pow1 pow-to-exp pow-exp
5×rec-exp 1-exp unswap-sqr
4×add-log-exp
3×frac-2neg associate-*r* clear-num
2×sqrt-div associate-*l/ associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 469
Calls
4 calls:
93.0ms
(/ (* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (* w r))) (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) (/ 2 2))))
33.0ms
(/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) (/ 2 2)))
86.0ms
(* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (* w r)))
8.0ms
(/ 2.0 (* r r))

series777.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(/ (* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (* w r))) (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) (/ 2 2))))
251.0ms
(/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (pow (fabs (* w r)) (/ 2 2)))
295.0ms
(* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (* w r)))
23.0ms
(/ 2.0 (* r r))

simplify125.0ms

Algorithm
egg-herbie
Counts
481 → 481
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0206810651
150019800

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes291.0ms

Accuracy

0% (0.2b 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
03425
13525
23525

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s17004×body80valid