Details

Time bar (total: 5.2s)

sample303.0ms

Algorithm
intervals
Results
29.0ms543×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize32.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (* (* w w) r) r)
4.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
6.0b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.7b
(* (* w w) r)

rewrite209.0ms

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:
24.0ms
(* (* (* w w) r) r)
80.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
87.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series220.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* (* w w) r) r)
85.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
75.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
26.0ms
(* (* w w) r)

simplify100.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune277.0ms

Filtered
131 candidates to 61 candidates (46.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))
4.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.0b
(/ (* (* 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))
15.0ms
(* (* 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))

series136.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
27.0ms
(/ 2.0 (* r r))
39.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
62.0ms
(/ (* (* 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

prune353.0ms

Filtered
117 candidates to 70 candidates (59.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.3b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))
6.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
83×times-frac
82×add-sqr-sqrt *-un-lft-identity
48×add-cube-cbrt
46×associate-*r*
39×add-exp-log
36×unpow-prod-down
23×add-cbrt-cube
17×distribute-lft-out-- difference-of-squares
13×prod-exp
12×unpow2 sqr-pow
11×div-exp associate-/l*
10×pow1
7×cbrt-unprod
6×associate-/r*
5×cbrt-undiv associate-*r/
4×pow-to-exp flip3-- pow-exp associate-/r/ flip-- add-log-exp
3×pow-unpow pow-prod-down div-inv
2×frac-times frac-2neg associate-*l/ clear-num
1×pow-pow associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
8.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
29.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
8.0ms
(pow (fabs (* w r)) 2)
25.0ms
(/ 2.0 (* r r))
61.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify92.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07881794
135911581
250011581

prune605.0ms

Filtered
194 candidates to 118 candidates (60.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b
(/ (/ 2.0 r) r)
0.3b
(pow (fabs (* w r)) 2)
6.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
122×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
46×associate-*r*
39×add-exp-log
36×unpow-prod-down
23×add-cbrt-cube
21×associate-/l*
17×distribute-lft-out-- difference-of-squares
12×div-exp prod-exp unpow2 sqr-pow
10×pow1
8×associate-/r*
7×div-inv
6×cbrt-undiv cbrt-unprod
5×associate-*r/
4×pow-to-exp flip3-- pow-exp associate-/r/ flip-- add-log-exp
3×pow-unpow pow-prod-down
2×frac-times frac-2neg associate-*l/ clear-num
1×pow-pow associate-*l* *-commutative associate-/l/
Counts
4 → 231
Calls
4 calls:
7.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms
(/ (/ 2.0 r) r)
1.0ms
(pow (fabs (* w r)) 2)
27.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series134.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
28.0ms
(/ (/ 2.0 r) r)
8.0ms
(pow (fabs (* w r)) 2)
58.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify109.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09982157
145261925
250021925

prune718.0ms

Filtered
243 candidates to 151 candidates (62.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes234.0ms

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
03219
13219

end0.0ms

sample1.2s

Algorithm
intervals
Results
869.0ms17093×body80valid