Details

Time bar (total: 19.8s)

sample269.0ms

Algorithm
intervals
Results
99.0ms515×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
02229
15129
215229
366228
4355528
done500028

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.5b
(/ 2.0 (* r r))
5.9b
(* (* (* w w) r) r)
7.6b
(* (* w w) r)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
10×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
8×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv unswap-sqr
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
16.0ms
(/ 2.0 (* r r))
81.0ms
(* (* (* w w) r) r)
31.0ms
(* (* w w) r)

series323.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
35.0ms
(/ 2.0 (* r r))
45.0ms
(* (* (* w w) r) r)
47.0ms
(* (* w w) r)

simplify1.9s

Counts
89 → 89
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0128982
1344962
22424812
done5001798

prune472.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
0.0b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
0.3b
(* (fabs (* r w)) (fabs (* r w)))
0.5b
(/ 2.0 (* r r))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
11×pow1
8×times-frac
6×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num associate-/r/ flip-- div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up fma-udef unswap-sqr
Counts
4 → 91
Calls
4 calls:
29.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
25.0ms
(* (fabs (* r w)) (fabs (* r w)))
17.0ms
(/ 2.0 (* r r))

series257.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))
155.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
10.0ms
(* (fabs (* r w)) (fabs (* r w)))
29.0ms
(/ 2.0 (* r r))

simplify2.0s

Counts
103 → 103
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01961461
15331366
230471114
done50011104

prune543.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
0.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
0.3b
(* (fabs (* r w)) (fabs (* r w)))
0.5b
(/ 2.0 (* r r))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
27×add-sqr-sqrt
25×*-un-lft-identity
24×associate-*r*
23×add-cbrt-cube
19×add-cube-cbrt
18×times-frac
16×pow1
14×prod-exp
8×cbrt-unprod
6×div-exp
5×associate-*r/
4×cbrt-undiv expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×flip3-- swap-sqr flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×frac-times rec-exp 1-exp associate-*l/ associate-/r/ *-commutative div-inv
1×pow2 frac-2neg pow-plus clear-num associate-/r* pow-sqr un-div-inv pow-prod-up fma-udef unswap-sqr
Counts
4 → 112
Calls
4 calls:
1.0ms
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
104.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
8.0ms
(* (fabs (* r w)) (fabs (* r w)))
8.0ms
(/ 2.0 (* r r))

series252.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
63.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
17.0ms
(* (fabs (* r w)) (fabs (* r w)))
49.0ms
(/ 2.0 (* r r))

simplify3.9s

Counts
124 → 124
Iterations

Useful iterations: done (3.9s)

IterNodesCost
02431928
16951756
244031356
done50001353

prune714.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
0.1b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (fabs (* r w)) (fabs (* r w)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
67×add-sqr-sqrt
65×*-un-lft-identity
59×add-cube-cbrt
33×add-exp-log
24×associate-*r*
23×add-cbrt-cube
16×pow1
13×prod-exp associate-/l*
7×div-exp cbrt-unprod
6×div-inv
5×cbrt-undiv associate-*r/
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×flip3-- swap-sqr associate-/r* flip-- distribute-lft-out-- difference-of-squares
2×frac-times rec-exp 1-exp associate-*l/ associate-/r/ *-commutative
1×pow2 frac-2neg pow-plus clear-num pow-sqr un-div-inv pow-prod-up fma-udef associate-/l/ unswap-sqr
Counts
4 → 161
Calls
4 calls:
1.0ms
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
99.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
31.0ms
(/ (/ 2.0 r) r)
8.0ms
(* (fabs (* r w)) (fabs (* r w)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(fma (* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v))) (* (fabs (* r w)) (fabs (* r w))) 4.5)
65.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ 1 (- 1.0 v)))
28.0ms
(/ (/ 2.0 r) r)
14.0ms
(* (fabs (* r w)) (fabs (* r w)))

simplify624.0ms

Counts
173 → 173
Iterations

Useful iterations: done (619.0ms)

IterNodesCost
03392605
19342387
done50001967

prune944.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02332
13032
done3032

end0.0ms

sample4.2s

Algorithm
intervals
Results
3.4s17080×body80valid