Details

Time bar (total: 23.8s)

sample231.0ms

Algorithm
intervals
Results
121.0ms542×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
02229
15129
215229
366228
4355528
done500028

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize35.0ms

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)
0.9b
(/ 2.0 (* r r))
6.1b
(* (* (* w w) r) r)
8.8b
(* (* 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:
0.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms
(/ 2.0 (* r r))
70.0ms
(* (* (* w w) r) r)
54.0ms
(* (* w w) r)

series291.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
48.0ms
(/ 2.0 (* r r))
45.0ms
(* (* (* w w) r) r)
30.0ms
(* (* w w) r)

simplify2.0s

Counts
89 → 89
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0128982
1344962
22424812
done5001798

prune455.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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)))
0.9b
(/ 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:
168.0ms
(- (+ 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)
9.0ms
(* (fabs (* r w)) (fabs (* r w)))
16.0ms
(/ 2.0 (* r r))

series336.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (+ 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))
135.0ms
(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)))
42.0ms
(/ 2.0 (* r r))

simplify2.2s

Counts
108 → 108
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01803903
14512891
226002175
done50012120

prune536.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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)
0.2b
(/ (/ 2.0 r) r)
0.3b
(* (fabs (* r w)) (fabs (* r w)))

rewrite405.0ms

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:
358.0ms
(- (+ 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)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (+ 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))
159.0ms
(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* r w)) (fabs (* r w))) 4.5)
29.0ms
(/ (/ 2.0 r) r)
21.0ms
(* (fabs (* r w)) (fabs (* r w)))

simplify2.5s

Counts
157 → 157
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02774580
16783525
235382934
done50002717

prune993.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* r w)) (fabs (* r w)))
0.4b
(* (/ (sqrt 2.0) r) (/ (sqrt 2.0) r))
0.4b
(/ (sqrt 2.0) r)
0.4b
(/ (sqrt 2.0) r)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
138×add-sqr-sqrt
132×times-frac
94×add-cube-cbrt *-un-lft-identity
72×sqrt-prod
31×swap-sqr
25×associate-*r* associate-*l*
22×add-exp-log add-cbrt-cube
18×pow1
12×associate-/l*
10×unswap-sqr
6×cbrt-undiv div-exp associate-/r* div-inv
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-2neg pow-plus pow-prod-down clear-num pow-sqr *-commutative pow-prod-up
1×frac-times associate-*r/ associate-*l/
Counts
4 → 216
Calls
4 calls:
14.0ms
(* (fabs (* r w)) (fabs (* r w)))
37.0ms
(* (/ (sqrt 2.0) r) (/ (sqrt 2.0) r))
15.0ms
(/ (sqrt 2.0) r)
15.0ms
(/ (sqrt 2.0) r)

series288.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (fabs (* r w)) (fabs (* r w)))
126.0ms
(* (/ (sqrt 2.0) r) (/ (sqrt 2.0) r))
83.0ms
(/ (sqrt 2.0) r)
54.0ms
(/ (sqrt 2.0) r)

simplify4.7s

Counts
228 → 228
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
01852887
16042572
246002339
done50022339

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes508.0ms

Accuracy

0% (0.3b 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
02539
13139
done3139

end0.0ms

sample4.0s

Algorithm
intervals
Results
3.2s17147×body80valid