Details

Time bar (total: 20.0s)

sample276.0ms

Algorithm
intervals
Results
83.0ms560×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
02229
15129
215229
366228
4355528
done500028

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.4b
(/ 2.0 (* r r))
5.4b
(* (* (* w w) r) r)
10.2b
(* (* w w) r)

rewrite151.0ms

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:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
10.0ms
(/ 2.0 (* r r))
83.0ms
(* (* (* w w) r) r)
54.0ms
(* (* w w) r)

series307.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
54.0ms
(/ 2.0 (* r r))
47.0ms
(* (* (* w w) r) r)
41.0ms
(* (* w w) r)

simplify1.9s

Counts
89 → 89
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0128982
1344962
22424812
done5001798

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5))
0.1b
(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)))
0.4b
(/ 2.0 (* r r))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
22×add-sqr-sqrt
18×add-cube-cbrt
12×prod-diff
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
5×distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×times-frac swap-sqr associate-*r* associate-*l* associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down associate--l+ clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-- div-inv associate--r+ difference-of-squares unswap-sqr
Counts
4 → 96
Calls
4 calls:
178.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5))
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
8.0ms
(* (fabs (* r w)) (fabs (* r w)))
9.0ms
(/ 2.0 (* r r))

series302.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5))
116.0ms
(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)))
30.0ms
(/ 2.0 (* r r))

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01803903
14512891
226002175
done50012120

prune638.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite486.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
71×*-un-lft-identity
62×add-sqr-sqrt
58×add-cube-cbrt
13×associate-/l*
12×prod-diff
11×pow1 add-exp-log add-cbrt-cube
9×add-log-exp
5×div-inv distribute-lft-out
4×expm1-log1p-u fma-neg log1p-expm1-u
3×cbrt-undiv swap-sqr div-exp associate-*r* associate-*l* associate-/r*
2×diff-log fma-udef distribute-lft-out--
1×pow2 sub-neg flip3-- frac-2neg pow-plus pow-prod-down prod-exp associate--l+ clear-num sum-log pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ associate--r+ difference-of-squares unswap-sqr
Counts
4 → 145
Calls
4 calls:
439.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5))
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
22.0ms
(/ (/ 2.0 r) r)
14.0ms
(* (fabs (* r w)) (fabs (* r w)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5))
122.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
54.0ms
(/ (/ 2.0 r) r)
17.0ms
(* (fabs (* r w)) (fabs (* r w)))

simplify2.3s

Counts
157 → 157
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02774580
16783525
235382934
done50002717

prune913.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ 2.0 r) r) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
0.1b
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.3b
(/ (/ 2.0 r) r)
0.3b
(pow (fabs (* w r)) 2)

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
130×add-sqr-sqrt
124×*-un-lft-identity
122×add-cube-cbrt
43×fma-neg prod-diff
34×add-exp-log
18×add-cbrt-cube
14×div-inv
13×associate-/l*
12×prod-exp
11×associate-*l*
9×div-exp
8×associate-*r*
7×unpow-prod-down
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u pow-to-exp pow-exp cbrt-unprod log1p-expm1-u unswap-sqr
3×pow-unpow associate-/r* unpow2 sqr-pow
2×flip3-- associate-*l/ associate-/r/ flip--
1×sub-neg pow-pow frac-2neg diff-log clear-num *-commutative frac-sub associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 239
Calls
4 calls:
77.0ms
(- (/ (/ 2.0 r) r) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
62.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
12.0ms
(/ (/ 2.0 r) r)
3.0ms
(pow (fabs (* w r)) 2)

series256.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ (/ 2.0 r) r) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)))
82.0ms
(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
39.0ms
(/ (/ 2.0 r) r)
11.0ms
(pow (fabs (* w r)) 2)

simplify627.0ms

Counts
251 → 251
Iterations

Useful iterations: done (617.0ms)

IterNodesCost
03566831
19606572
done50005831

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes453.0ms

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
02328
12828
done2828

end0.0ms

sample3.6s

Algorithm
intervals
Results
2.8s16922×body80valid