Details

Time bar (total: 5.2s)

sample293.0ms

Algorithm
intervals
Results
29.0ms538×body80valid

simplify81.0ms

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: 16.3b

localize35.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.8b
(* (* (* w w) r) r)
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
13.3b
(* (* 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)
83.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series211.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
31.0ms
(* (* (* w w) r) r)
72.0ms
(/ (* (* 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

prune264.0ms

Filtered
131 candidates to 61 candidates (46.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))
3.0b
(* (* 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))

rewrite43.0ms

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))
14.0ms
(* (* 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))

series133.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
26.0ms
(/ 2.0 (* r r))
38.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
61.0ms
(/ (* (* 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 (61.0ms)

IterNodesCost
05591085
12754841
25001821

prune347.0ms

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:

0.2b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))
4.9b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite42.0ms

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:
9.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
18.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
24.0ms
(/ 2.0 (* r r))
60.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify105.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09712431
141662156
250012156

prune670.0ms

Filtered
235 candidates to 137 candidates (58.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 r) r)
0.2b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
4.9b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
239×times-frac
157×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
55×associate-/r*
51×unpow-prod-down
39×add-exp-log
25×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
20×div-exp
19×associate-/l*
17×unpow2 sqr-pow
10×cbrt-undiv
9×div-inv
5×pow1 associate-/l/
4×pow-to-exp pow-exp prod-exp add-log-exp
3×pow-unpow frac-2neg clear-num
2×flip3-- associate-*r/ flip-- cbrt-unprod
1×pow-pow div-sub associate-/r/
Counts
4 → 272
Calls
4 calls:
6.0ms
(/ (/ 2.0 r) r)
8.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
1.0ms
(pow (fabs (* w r)) 2)
16.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series122.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (/ 2.0 r) r)
35.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
56.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011802794
150012504

prune787.0ms

Filtered
284 candidates to 171 candidates (60.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes214.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03117
13217
23217

end0.0ms

sample1.2s

Algorithm
intervals
Results
883.0ms16946×body80valid