Details

Time bar (total: 22.1s)

sample30.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify135.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0911
12111
24010
36710
410210
513910
614410
done14410

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ 1.0 x) y)
5.8b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite75.0ms

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:
16.0ms
(/ (/ 1.0 x) y)
29.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ 1.0 x) y)
86.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify680.0ms

Counts
272 → 272
Iterations

Useful iterations: done (666.0ms)

IterNodesCost
04715328
111895051
done50014955

prune899.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
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
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series595.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt x)
234.0ms
(cbrt x)
62.0ms
(sqrt (fma z z 1.0))
73.0ms
(sqrt (fma z z 1.0))

simplify1.4s

Counts
68 → 68
Iterations

Useful iterations: 3 (471.0ms)

IterNodesCost
070470
1141424
2440394
32237386
done5001386

prune270.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
2.8b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

rewrite588.0ms

Algorithm
rewrite-expression-head
Rules
2614×times-frac
1268×add-sqr-sqrt
1152×*-un-lft-identity
1144×add-cube-cbrt
866×cbrt-prod
412×associate-*r*
347×add-exp-log
184×div-exp
136×associate-/l*
112×prod-exp
107×add-cbrt-cube
88×cbrt-undiv
53×div-inv
48×cbrt-unprod
32×unswap-sqr
16×rec-exp 1-exp
11×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1149
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
53.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
372.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

series846.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt x)
249.0ms
(cbrt x)
221.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
114.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

simplify1.1s

Counts
1161 → 1161
Iterations

Useful iterations: done (999.0ms)

IterNodesCost
0160734940
done500033507

prune7.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
1.1b
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (sqrt (fma z z 1.0)))
15.9b
(sqrt (fma z z 1.0))
15.9b
(sqrt (fma z z 1.0))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
2496×times-frac
1144×add-sqr-sqrt
1142×add-cube-cbrt *-un-lft-identity
843×cbrt-prod
417×sqrt-prod
136×associate-/l*
50×div-inv
13×add-exp-log
10×add-cbrt-cube
6×pow1 cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 1020
Calls
4 calls:
1.0ms
(cbrt y)
101.0ms
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (sqrt (fma z z 1.0)))
3.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series687.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt y)
255.0ms
(/ (/ (/ (cbrt 1.0) x) (cbrt y)) (sqrt (fma z z 1.0)))
60.0ms
(sqrt (fma z z 1.0))
68.0ms
(sqrt (fma z z 1.0))

simplify2.1s

Counts
1032 → 1032
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0134131036
1327328256
done500028171

prune3.9s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 4.5b

regimes197.0ms

Accuracy

0% (1.1b remaining)

Error of 6.1b against oracle of 5.1b and baseline of 6.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01526
11826
done1826

end0.0ms

sample872.0ms

Algorithm
intervals
Results
515.0ms8634×body80valid