Details

Time bar (total: 16.6s)

sample28.0ms

Algorithm
intervals
Results
13.0ms278×body80valid

simplify135.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
5.8b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
18.0ms
(/ (/ 1.0 x) y)
27.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series113.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (/ 1.0 x) y)
80.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify2.2s

Counts
272 → 272
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
1.0b
(/ (/ (cbrt (/ 1.0 x)) y) (sqrt (fma z z 1.0)))
12.8b
(sqrt (fma z z 1.0))
12.8b
(sqrt (fma z z 1.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
846×times-frac
408×add-sqr-sqrt
406×add-cube-cbrt *-un-lft-identity
286×cbrt-prod
165×sqrt-prod
52×associate-/l*
30×div-inv
9×add-exp-log
8×add-cbrt-cube
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-div frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 441
Calls
4 calls:
5.0ms
(cbrt (/ 1.0 x))
43.0ms
(/ (/ (cbrt (/ 1.0 x)) y) (sqrt (fma z z 1.0)))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt (/ 1.0 x))
677.0ms
(/ (/ (cbrt (/ 1.0 x)) y) (sqrt (fma z z 1.0)))
87.0ms
(sqrt (fma z z 1.0))
97.0ms
(sqrt (fma z z 1.0))

simplify2.0s

Counts
453 → 453
Iterations

Useful iterations: done (2.0s)

IterNodesCost
070911572
1146510582
2297410503
done500110494

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.8b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ (sqrt 1.0) (cbrt x)))
12.8b
(sqrt (fma z z 1.0))
12.8b
(sqrt (fma z z 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
36×times-frac
34×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
6×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
1×cbrt-div div-inv
Counts
4 → 94
Calls
4 calls:
2.0ms
(cbrt x)
10.0ms
(cbrt (/ (sqrt 1.0) (cbrt x)))
3.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
222.0ms
(cbrt x)
651.0ms
(cbrt (/ (sqrt 1.0) (cbrt x)))
73.0ms
(sqrt (fma z z 1.0))
92.0ms
(sqrt (fma z z 1.0))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01881173
12921069
26091003
31544995
done5001993

prune648.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.8b

localize45.0ms

Local error

Found 4 expressions with local error:

12.8b
(sqrt (fma z z 1.0))
12.8b
(sqrt (fma z z 1.0))
12.8b
(sqrt (fma z z 1.0))
12.8b
(sqrt (fma z z 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series263.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (fma z z 1.0))
62.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))
69.0ms
(sqrt (fma z z 1.0))

simplify1.7s

Counts
72 → 72
Iterations

Useful iterations: done (1.7s)

IterNodesCost
045656
197580
2237544
3673540
42944536
done5001528

prune531.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.8b

regimes273.0ms

Accuracy

0% (1.2b remaining)

Error of 6.3b against oracle of 5.1b and baseline of 6.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02140
12340
done2340

end0.0ms

sample962.0ms

Algorithm
intervals
Results
532.0ms8610×body80valid