Details

Time bar (total: 9.9s)

sample352.0ms

Algorithm
intervals
Results
73.0ms563×body80valid

simplify81.0ms

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: 12.4b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.0b
(* (* (* w w) r) r)
6.1b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.7b
(* (* w w) r)

rewrite228.0ms

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:
86.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
26.0ms
(* (* (* w w) r) r)
97.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series219.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
36.0ms
(* (* (* w w) r) r)
69.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
29.0ms
(* (* w w) r)

simplify99.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.5b
(/ 2.0 (* r r))
3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.1b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite51.0ms

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))
19.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
22.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series133.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
24.0ms
(/ 2.0 (* r r))
43.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
58.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify71.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05591085
12754841
25001821

prune348.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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

rewrite106.0ms

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:
17.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
1.0ms
(pow (fabs (* w r)) 2)
35.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
3.0ms
(/ 2.0 (* r r))

series163.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
67.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
25.0ms
(/ 2.0 (* r r))

simplify128.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021039956
150019027

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (fabs (* w r)) 2)
0.5b
(/ 2.0 (* r r))
0.5b
(/ 1 (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (sqrt (pow (fabs (* w r)) 2))))
12.2b
(sqrt (pow (fabs (* w r)) 2))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
2292×times-frac
1164×add-sqr-sqrt
1162×*-un-lft-identity
898×add-cube-cbrt
680×sqrt-prod
259×unpow-prod-down
236×associate-/r*
132×distribute-lft-out-- difference-of-squares
89×associate-/r/
87×unpow2 sqr-pow
50×div-inv
44×flip3-- flip--
31×add-exp-log
18×add-cbrt-cube
17×div-exp
8×cbrt-undiv
6×pow1 associate-/l*
4×rem-sqrt-square add-log-exp
3×rec-exp pow-unpow 1-exp
2×frac-2neg clear-num
1×pow-to-exp pow-flip pow-pow sqrt-pow1 pow1/2 pow-exp prod-exp cbrt-unprod inv-pow
Counts
4 → 1028
Calls
4 calls:
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
64.0ms
(/ 1 (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (sqrt (pow (fabs (* w r)) 2))))
2.0ms
(sqrt (pow (fabs (* w r)) 2))

series84.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(pow (fabs (* w r)) 2)
30.0ms
(/ 2.0 (* r r))
43.0ms
(/ 1 (/ (/ (- 1.0 v) (- 3.0 (* 2.0 v))) (sqrt (pow (fabs (* w r)) 2))))
2.0ms
(sqrt (pow (fabs (* w r)) 2))

simplify230.0ms

Algorithm
egg-herbie
Counts
1040 → 1040
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0351321253
1500119671

prune2.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes258.0ms

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
03115
13115

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.2s17106×body80valid