Details

Time bar (total: 5.4s)

sample302.0ms

Algorithm
intervals
Results
30.0ms548×body80valid

simplify82.0ms

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: 10.9b

localize21.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.4b
(* (* (* w w) r) r)
7.1b
(* (* w w) r)

rewrite214.0ms

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:
79.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
85.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
33.0ms
(* (* (* w w) r) r)
10.0ms
(* (* w w) r)

series210.0ms

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))
31.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify99.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06701303
13876935
25003931

prune273.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))
2.7b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite44.0ms

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))

series132.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (fabs (* w r)) (fabs (* w r)))
25.0ms
(/ 2.0 (* r r))
38.0ms
(* (* 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))

simplify71.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05591085
12754841
25001821

prune352.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))
5.0b
(/ (* 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)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
8.0ms
(pow (fabs (* w r)) 2)
24.0ms
(/ 2.0 (* r r))
62.0ms
(/ (* 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

prune700.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)
5.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite48.0ms

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:
9.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
5.0ms
(/ (/ 2.0 r) r)
1.0ms
(pow (fabs (* w r)) 2)
16.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
26.0ms
(/ (/ 2.0 r) r)
7.0ms
(pow (fabs (* w r)) 2)
55.0ms
(/ (* 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

prune829.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes230.0ms

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
03117
13117

end0.0ms

sample1.3s

Algorithm
intervals
Results
907.0ms17103×body80valid