Details

Time bar (total: 5.4s)

sample304.0ms

Algorithm
intervals
Results
33.0ms561×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: 13.7b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
6.6b
(* (* (* w w) r) r)
11.1b
(* (* w w) r)

rewrite55.0ms

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:
13.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
18.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.0ms
(* (* (* w w) r) r)
8.0ms
(* (* w w) r)

series223.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
70.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
41.0ms
(* (* (* w w) r) r)
26.0ms
(* (* w w) r)

simplify105.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06701303
13876935
25003931

prune277.0ms

Filtered
131 candidates to 61 candidates (46.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.6b
(/ 2.0 (* r r))
3.3b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
5.7b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite33.0ms

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)))
4.0ms
(/ 2.0 (* r r))
8.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
13.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series138.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
29.0ms
(/ 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 (61.0ms)

IterNodesCost
05591085
12754841
25001821

prune363.0ms

Filtered
117 candidates to 70 candidates (59.8%)
Pruning

16 alts after pruning (16 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))
0.4b
(pow (fabs (* w r)) 2)
0.6b
(/ 2.0 (* r r))
6.8b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite42.0ms

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:
7.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
2.0ms
(pow (fabs (* w r)) 2)
4.0ms
(/ 2.0 (* r r))
21.0ms
(* (* 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))
7.0ms
(pow (fabs (* w r)) 2)
25.0ms
(/ 2.0 (* r r))
62.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify96.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07881794
136011581
250021581

prune598.0ms

Filtered
194 candidates to 117 candidates (60.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 v))
0.3b
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
0.6b
(/ 2.0 (* r r))
5.6b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
33×cbrt-prod *-un-lft-identity
32×add-exp-log
26×cbrt-div add-cbrt-cube
23×associate-*r*
17×add-cube-cbrt
16×pow1
15×flip3-- flip--
13×prod-exp cbrt-unprod
10×frac-times swap-sqr
9×associate-*r/ associate-*l*
8×associate-/r/
7×pow1/3 distribute-lft-out--
6×cbrt-undiv times-frac div-exp associate-*l/
5×pow-prod-down difference-of-squares
4×add-log-exp unswap-sqr
3×associate-/l*
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-2neg pow-plus clear-num associate-/r*
Counts
4 → 135
Calls
4 calls:
3.0ms
(cbrt (- 1.0 v))
11.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
4.0ms
(/ 2.0 (* r r))
17.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

series544.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (- 1.0 v))
114.0ms
(* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))
31.0ms
(/ 2.0 (* r r))
302.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (fabs (* w r)) (* (cbrt (- 1.0 v)) (cbrt (- 1.0 v)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08201448
134721247
250011202

prune543.0ms

Filtered
147 candidates to 95 candidates (64.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03434
13434

end0.0ms

sample1.3s

Algorithm
intervals
Results
945.0ms17100×body80valid