Details

Time bar (total: 9.1s)

sample366.0ms

Algorithm
intervals
Results
92.0ms531×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05114
115514
266714
3312514
4500214

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize20.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* (* w w) r) r)
4.3b
(* (* 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))
10.4b
(* (* w w) r)

rewrite215.0ms

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:
25.0ms
(* (* (* w w) r) r)
81.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
92.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.0ms
(* (* w w) r)

series217.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* (* w w) r) r)
83.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
69.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
30.0ms
(* (* w w) r)

simplify102.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06701303
13876935
25003931

prune275.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.4b
(/ 2.0 (* r r))
4.3b
(* (* 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))

rewrite48.0ms

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))
18.0ms
(* (* 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)))
24.0ms
(/ 2.0 (* r r))
43.0ms
(* (* 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))

simplify74.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05591085
12754841
25001821

prune360.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
0.4b
(pow (fabs (* w r)) 2)
0.4b
(/ 2.0 (* r r))
0.5b
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
924×times-frac
381×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
171×unpow-prod-down
119×add-exp-log
101×associate-/r*
83×associate-/r/
82×associate-*r/ div-exp
57×unpow2 sqr-pow
48×div-inv
41×flip3-- flip-- distribute-lft-out-- difference-of-squares
32×add-cbrt-cube
17×associate-/l*
16×cbrt-undiv
13×pow-to-exp pow-exp prod-exp
10×rec-exp 1-exp
6×pow1
4×add-log-exp
3×pow-unpow frac-2neg clear-num cbrt-unprod
2×div-sub
1×pow-flip pow-pow associate-/l/ inv-pow
Counts
4 → 588
Calls
4 calls:
16.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
2.0ms
(pow (fabs (* w r)) 2)
6.0ms
(/ 2.0 (* r r))
32.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2))
10.0ms
(pow (fabs (* w r)) 2)
24.0ms
(/ 2.0 (* r r))
65.0ms
(/ 1 (/ (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))) (pow (fabs (* w r)) 2)))

simplify129.0ms

Algorithm
egg-herbie
Counts
600 → 600
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
021039956
150019027

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (fabs (* w r)))) (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (sqrt (pow (fabs (* w r)) 2))))
0.4b
(pow (fabs (* w r)) 2)
0.4b
(/ 2.0 (* r r))
12.5b
(sqrt (pow (fabs (* w r)) 2))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
579×times-frac
474×sqrt-prod
208×add-sqr-sqrt
206×*-un-lft-identity
162×add-cube-cbrt
159×associate-/r*
91×unpow-prod-down
45×add-exp-log associate-/r/
44×associate-*r/
31×unpow2 sqr-pow
30×add-cbrt-cube
26×div-inv
22×flip3-- flip-- distribute-lft-out-- difference-of-squares
21×div-exp
13×cbrt-undiv
9×prod-exp
5×pow1 cbrt-unprod
4×rem-sqrt-square associate-/l* add-log-exp
3×pow-unpow
2×rec-exp frac-2neg 1-exp clear-num
1×pow-to-exp pow-pow sqrt-pow1 pow1/2 associate-*l/ pow-exp associate-/l/
Counts
4 → 405
Calls
4 calls:
63.0ms
(/ (* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (fabs (* w r)))) (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (sqrt (pow (fabs (* w r)) 2))))
1.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))
2.0ms
(sqrt (pow (fabs (* w r)) 2))

series261.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ (* (/ 1 (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v)))))) (fabs (fabs (* w r)))) (/ (sqrt (/ (- 1.0 v) (* 0.125 (- 3.0 (* 2.0 v))))) (sqrt (pow (fabs (* w r)) 2))))
8.0ms
(pow (fabs (* w r)) 2)
31.0ms
(/ 2.0 (* r r))
2.0ms
(sqrt (pow (fabs (* w r)) 2))

simplify118.0ms

Algorithm
egg-herbie
Counts
417 → 417
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0205510263
150019553

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
12918

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.7s17133×body80valid