Details

Time bar (total: 8.3s)

sample304.0ms

Algorithm
intervals
Results
32.0ms552×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: 10.7b

localize29.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.5b
(* (* (* w w) r) r)
9.6b
(* (* w w) r)

rewrite428.0ms

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:
170.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
176.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
55.0ms
(* (* (* w w) r) r)
20.0ms
(* (* w w) r)

series199.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
64.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
33.0ms
(* (* (* w w) r) r)
24.0ms
(* (* w w) r)

simplify100.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06701303
13876935
25003931

prune273.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))
3.4b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite101.0ms

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:
6.0ms
(* (fabs (* w r)) (fabs (* w r)))
7.0ms
(/ 2.0 (* r r))
39.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
45.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series132.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
27.0ms
(/ 2.0 (* r r))
37.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
60.0ms
(/ (* (* 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

prune337.0ms

Pruning

11 alts after pruning (11 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)))
0.8b
(/ 2.0 (* r r))

rewrite137.0ms

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:
31.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms
(pow (fabs (* w r)) 2)
49.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
7.0ms
(/ 2.0 (* r r))

series143.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
11.0ms
(pow (fabs (* w r)) 2)
54.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))
23.0ms
(/ 2.0 (* r r))

simplify128.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
021039956
150019317

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))
0.2b
(/ (/ 2.0 r) r)
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)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
996×times-frac
421×add-sqr-sqrt *-un-lft-identity
339×add-cube-cbrt
171×unpow-prod-down
119×add-exp-log
103×associate-/r*
83×div-exp associate-/r/
82×associate-*r/
57×unpow2 sqr-pow
52×div-inv
41×flip3-- flip-- distribute-lft-out-- difference-of-squares
32×add-cbrt-cube
27×associate-/l*
17×cbrt-undiv
13×pow-to-exp pow-exp
12×prod-exp
10×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num
2×div-sub cbrt-unprod associate-/l/
1×pow-flip pow-pow inv-pow
Counts
4 → 637
Calls
4 calls:
29.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
10.0ms
(/ (/ 2.0 r) r)
2.0ms
(pow (fabs (* w r)) 2)
47.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series148.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
22.0ms
(/ (/ 2.0 r) r)
7.0ms
(pow (fabs (* w r)) 2)
61.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify134.0ms

Algorithm
egg-herbie
Counts
649 → 649
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0231210319
150019459

prune1.8s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes298.0ms

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
03115
13115

end0.0ms

sample1.4s

Algorithm
intervals
Results
945.0ms16972×body80valid