Details

Time bar (total: 47.8s)

sample255.0ms

Algorithm
intervals
Results
158.0ms556×body80valid

simplify737.0ms

Counts
1 → 1
Iterations
IterNodes
42323
3534
2142
151
022

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.2b
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
0.2b
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.5b
(/ 2 (* r r))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
53×add-sqr-sqrt *-un-lft-identity
33×add-cube-cbrt
30×add-cbrt-cube add-exp-log
23×associate-/r*
13×difference-of-squares
11×cbrt-undiv div-exp
9×prod-diff
7×prod-exp cbrt-unprod distribute-lft-out--
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv associate-/l*
3×fma-neg
2×clear-num frac-2neg fma-udef
1×sub-neg flip3-- diff-log associate-/r/ flip-- associate--r+
Counts
4 → 136
Calls
4 calls:
10.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
59.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
16.0ms
(/ 2 (* r r))

series516.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
137.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
164.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
48.0ms
(/ 2 (* r r))

simplify1.1s

Counts
148 → 148
Iterations
IterNodes
22827
1835
0304

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.2b
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
0.2b
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
0.2b
(/ (/ 2 r) r)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
133×times-frac
93×add-sqr-sqrt *-un-lft-identity
73×add-cube-cbrt
30×add-cbrt-cube add-exp-log
25×associate-/r*
14×associate-/l*
13×difference-of-squares
12×cbrt-undiv div-exp
9×prod-diff
8×div-inv
7×distribute-lft-out--
6×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×fma-neg
2×clear-num frac-2neg fma-udef
1×sub-neg flip3-- diff-log associate-/r/ flip-- associate--r+ associate-/l/
Counts
4 → 185
Calls
4 calls:
9.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
0.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
55.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
16.0ms
(/ (/ 2 r) r)

series472.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(- 3 (fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5))
132.0ms
(fma (/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3))) (* w r) 4.5)
133.0ms
(/ (* 0.125 (* w r)) (/ (- 1 v) (fma -2 v 3)))
50.0ms
(/ (/ 2 r) r)

simplify1.3s

Counts
197 → 197
Iterations
IterNodes
23324
11035
0400

prune2.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 2 (* r r))
0.5b
(/ 2 (* r r))
9.2b
(sqrt (/ 2 (* r r)))
9.2b
(sqrt (/ 2 (* r r)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×times-frac add-cbrt-cube add-exp-log sqrt-prod
12×*-un-lft-identity add-cube-cbrt
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv rem-sqrt-square div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
2×clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp cbrt-unprod
Counts
4 → 92
Calls
4 calls:
11.0ms
(/ 2 (* r r))
7.0ms
(/ 2 (* r r))
6.0ms
(sqrt (/ 2 (* r r)))
6.0ms
(sqrt (/ 2 (* r r)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 2 (* r r))
32.0ms
(/ 2 (* r r))
49.0ms
(sqrt (/ 2 (* r r)))
54.0ms
(sqrt (/ 2 (* r r)))

simplify7.1s

Counts
104 → 104
Iterations
IterNodes
46752
31291
2359
1133
068

prune1.8s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
0.3b
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))
0.4b
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
0.5b
(/ 2 (* r r))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
2490×times-frac
1298×sqrt-prod
1212×add-sqr-sqrt *-un-lft-identity
681×add-cube-cbrt
354×difference-of-squares
177×distribute-lft-out--
88×div-inv
51×associate-/r*
34×associate-/l*
32×add-cbrt-cube add-exp-log
28×sqrt-div associate-/r/
12×cbrt-undiv div-exp
7×prod-exp cbrt-unprod
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×fma-udef associate-/l/
Counts
4 → 934
Calls
4 calls:
0.0ms
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
64.0ms
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))
58.0ms
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
14.0ms
(/ 2 (* r r))

series634.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(fma (/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3)))) (* w r) 4.5)
161.0ms
(/ (/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3)))) (sqrt (/ (- 1 v) (fma -2 v 3))))
230.0ms
(/ (* 0.125 (* w r)) (sqrt (/ (- 1 v) (fma -2 v 3))))
41.0ms
(/ 2 (* r r))

simplify3.1s

Counts
946 → 946
Iterations
IterNodes
13519
01338

prune19.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes865.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
223
123
020

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.3s16769×body80valid