Details

Time bar (total: 28.6s)

sample276.0ms

Algorithm
intervals
Results
150.0ms567×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (172.0ms)

IterNodesCost
02229
15129
215229
366228
4355528
done500028

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
1.2b
(/ 2.0 (* r r))
6.8b
(* (* (* w w) r) r)
9.0b
(* (* w w) r)

rewrite208.0ms

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)
17.0ms
(/ 2.0 (* r r))
127.0ms
(* (* (* w w) r) r)
57.0ms
(* (* w w) r)

series387.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
51.0ms
(/ 2.0 (* r r))
78.0ms
(* (* (* w w) r) r)
49.0ms
(* (* w w) r)

simplify2.6s

Counts
89 → 89
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0128982
1344962
22424812
done5001798

prune839.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

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))
0.2b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
0.4b
(* (fabs (* r w)) (fabs (* r w)))
1.2b
(/ 2.0 (* r r))

rewrite272.0ms

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:
227.0ms
(- (+ 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)
14.0ms
(* (fabs (* r w)) (fabs (* r w)))
25.0ms
(/ 2.0 (* r r))

series412.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(- (+ 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))
168.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
17.0ms
(* (fabs (* r w)) (fabs (* r w)))
54.0ms
(/ 2.0 (* r r))

simplify2.8s

Counts
108 → 108
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01803903
14512891
226002175
done50012120

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize63.0ms

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
(/ (/ 2.0 r) r)
0.2b
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
0.4b
(* (fabs (* r w)) (fabs (* r w)))

rewrite504.0ms

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:
436.0ms
(- (+ 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))
41.0ms
(/ (/ 2.0 r) r)
1.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
16.0ms
(* (fabs (* r w)) (fabs (* r w)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (+ 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))
47.0ms
(/ (/ 2.0 r) r)
151.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
15.0ms
(* (fabs (* r w)) (fabs (* r w)))

simplify3.1s

Counts
157 → 157
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02774580
16773525
235433186
done50012715

prune1.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r))) 4.5)
0.1b
(/ (/ 2.0 r) r)
0.3b
(fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r)))
0.4b
(pow (fabs (* w r)) 2)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×add-sqr-sqrt *-un-lft-identity
55×add-cube-cbrt
13×associate-/l*
10×add-exp-log
9×prod-diff add-cbrt-cube
6×add-log-exp
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv unpow-prod-down pow-unpow fma-neg div-exp associate-/r*
2×fma-udef
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg diff-log pow-exp associate--l+ clear-num flip-- associate-/l/ distribute-lft-out-- unpow2 difference-of-squares sqr-pow
Counts
4 → 131
Calls
4 calls:
13.0ms
(- (fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r))) 4.5)
35.0ms
(/ (/ 2.0 r) r)
1.0ms
(fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r)))
6.0ms
(pow (fabs (* w r)) 2)

series612.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(- (fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r))) 4.5)
60.0ms
(/ (/ 2.0 r) r)
259.0ms
(fma (pow (fabs (* w r)) 2) (- (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (+ 3.0 (/ (/ 2.0 r) r)))
16.0ms
(pow (fabs (* w r)) 2)

simplify2.4s

Counts
143 → 143
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02662940
16512723
226152466
done50022291

prune1.5s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.3b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
12928
23528
done3528

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.7s17214×body80valid