Details

Time bar (total: 8.6s)

sample329.0ms

Algorithm
intervals
Results
64.0ms523×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: 13.5b

localize26.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.9b
(* (* (* w w) r) r)
7.3b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.1b
(* (* w w) r)

rewrite199.0ms

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:
76.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
23.0ms
(* (* (* w w) r) r)
84.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.0ms
(* (* w w) r)

series210.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
34.0ms
(* (* (* w w) r) r)
72.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms
(* (* w w) r)

simplify101.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune276.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
7.3b
(/ (* (* 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)))
5.0ms
(/ 2.0 (* r r))
15.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
19.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series131.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))
42.0ms
(* (* 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))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05591085
12754841
25001821

prune344.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (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
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))

rewrite91.0ms

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:
18.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
29.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))

series151.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
56.0ms
(/ 1 (/ (/ (- 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))

simplify125.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
021039956
150019027

prune1.5s

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
(/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (fabs (* w r)))
0.3b
(* (/ (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))))) (fabs (* w r))))
0.4b
(/ 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))))) (fabs (* w r)))))
0.5b
(/ 2.0 (* r r))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
344×times-frac
213×add-sqr-sqrt
200×sqrt-prod
189×*-un-lft-identity
139×add-cube-cbrt
67×add-exp-log
58×swap-sqr
46×associate-*r* associate-*l*
41×add-cbrt-cube
35×associate-/r/
34×associate-*r/
29×div-exp
23×div-inv
22×distribute-lft-out--
20×associate-/l*
19×pow1
17×prod-exp
16×cbrt-undiv flip3-- flip-- difference-of-squares
9×cbrt-unprod unswap-sqr
6×pow-flip
5×rec-exp 1-exp associate-/r*
4×add-log-exp
3×frac-2neg clear-num
2×pow2 frac-times pow-plus pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×sqrt-div *-commutative associate-/l/ inv-pow
Counts
4 → 323
Calls
4 calls:
13.0ms
(/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (fabs (* w r)))
84.0ms
(* (/ (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))))) (fabs (* w r))))
58.0ms
(/ 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))))) (fabs (* w r)))))
3.0ms
(/ 2.0 (* r r))

series717.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (fabs (* w r)))
203.0ms
(* (/ (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))))) (fabs (* w r))))
216.0ms
(/ 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))))) (fabs (* w r)))))
24.0ms
(/ 2.0 (* r r))

simplify84.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015617299
150016462

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.0s16860×body80valid