Details

Time bar (total: 7.3s)

sample341.0ms

Algorithm
intervals
Results
69.0ms543×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize20.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.5b
(* (* (* w w) r) r)
8.9b
(* (* w w) r)

rewrite212.0ms

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:
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
89.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
24.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series215.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
72.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
36.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify104.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06701303
13876935
25003931

prune282.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))
2.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.5b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite47.0ms

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:
5.0ms
(* (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))

series133.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))
42.0ms
(* (* 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))

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05591085
12754841
25001821

prune348.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (fabs (* w r)) 2)
0.4b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.8b
(/ 2.0 (* r r))
3.8b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
167×times-frac
117×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
53×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
19×div-exp
17×unpow2 sqr-pow
9×cbrt-undiv associate-/l*
5×pow1 prod-exp div-inv
4×pow-to-exp pow-exp associate-/l/ add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×flip3-- associate-*r/ flip--
1×pow-pow div-sub associate-/r/
Counts
4 → 223
Calls
4 calls:
1.0ms
(pow (fabs (* w r)) 2)
9.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
3.0ms
(/ 2.0 (* r r))
16.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(pow (fabs (* w r)) 2)
35.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
25.0ms
(/ 2.0 (* r r))
63.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify102.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09712431
141662156
250012156

prune691.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sqrt (fabs (* w r))) 2)
0.8b
(/ 2.0 (* r r))
3.8b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))
3.8b
(sqrt (fabs (* w r)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
964×times-frac
457×add-sqr-sqrt
456×*-un-lft-identity
324×add-cube-cbrt
234×unpow-prod-down
214×associate-/r*
120×sqrt-prod
66×distribute-lft-out-- difference-of-squares
59×add-exp-log
39×unpow2 sqr-pow
34×div-exp
30×add-cbrt-cube
26×div-inv
14×cbrt-undiv
8×prod-exp
7×pow1
5×pow-to-exp pow-exp
4×cbrt-unprod associate-/l* add-log-exp
3×pow-unpow pow-pow
2×frac-2neg sqrt-pow1 pow1/2 associate-*r/ clear-num associate-/l/
1×rem-sqrt-square flip3-- associate-/r/ sqrt-pow2 flip--
Counts
4 → 518
Calls
4 calls:
2.0ms
(pow (sqrt (fabs (* w r))) 2)
3.0ms
(/ 2.0 (* r r))
46.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))
1.0ms
(sqrt (fabs (* w r)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(pow (sqrt (fabs (* w r))) 2)
25.0ms
(/ 2.0 (* r r))
62.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (/ (- 1.0 v) (fabs (* w r))) (pow (sqrt (fabs (* w r))) 2)))
9.0ms
(sqrt (fabs (* w r)))

simplify117.0ms

Algorithm
egg-herbie
Counts
530 → 530
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
028279232
150028499

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03017
13017

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.2s17060×body80valid