Details

Time bar (total: 20.9s)

sample189.0ms

Algorithm
intervals
Results
115.0ms546×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02229
15129
215229
363329
4284629
done500229

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b
(* (* (* w w) r) r)
6.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.3b
(* (* w w) r)

rewrite767.0ms

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:
318.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
105.0ms
(* (* (* w w) r) r)
299.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
31.0ms
(* (* w w) r)

series334.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
48.0ms
(* (* (* w w) r) r)
111.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
52.0ms
(* (* w w) r)

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02032751
15932663
229841923
done50001915

prune509.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))
4.2b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.9b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite184.0ms

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:
8.0ms
(* (fabs (* w r)) (fabs (* w r)))
16.0ms
(/ 2.0 (* r r))
84.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
73.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series241.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (fabs (* w r)) (fabs (* w r)))
53.0ms
(/ 2.0 (* r r))
79.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
97.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01982324
15171954
221211521
done50001515

prune693.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

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)
0.8b
(/ 2.0 (* r r))
4.4b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite136.0ms

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:
21.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
5.0ms
(pow (fabs (* w r)) 2)
17.0ms
(/ 2.0 (* r r))
81.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
16.0ms
(pow (fabs (* w r)) 2)
49.0ms
(/ 2.0 (* r r))
96.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify1.8s

Counts
235 → 235
Iterations

Useful iterations: 2 (765.0ms)

IterNodesCost
03414818
19004404
228263960
done50003960

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)
4.4b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

rewrite161.0ms

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:
37.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
30.0ms
(/ (/ 2.0 r) r)
5.0ms
(pow (fabs (* w r)) 2)
69.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ (- 1.0 v) (pow (fabs (* w r)) 2))
30.0ms
(/ (/ 2.0 r) r)
16.0ms
(pow (fabs (* w r)) 2)
87.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (/ (- 1.0 v) (pow (fabs (* w r)) 2)))

simplify2.0s

Counts
284 → 284
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04375495
111055035
232194565
done50004553

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes594.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02530
13230
done3230

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.4s17113×body80valid