Details

Time bar (total: 22.7s)

sample47.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
9.0ms253×body80nan

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1158
2298
3518
4968
52138
64748
713028
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l* prod-diff
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 51
Calls
2 calls:
10.0ms
(- (* x (log y)) z)
12.0ms
(* x (log y))

series158.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x (log y)) z)
88.0ms
(* x (log y))

simplify3.1s

Counts
57 → 57
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0111494
1253444
2764401
34085382
done5000381

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
12.0ms
(* x (log (cbrt y)))
33.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series853.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(* x (log (cbrt y)))
133.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
296.0ms
(cbrt y)
284.0ms
(cbrt y)

simplify1.8s

Counts
123 → 123
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01631298
14641159
22024920
done5001862

prune662.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
21.0ms
(* x (log (cbrt y)))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
143.0ms
(* x (log (cbrt y)))
307.0ms
(cbrt y)
340.0ms
(cbrt y)

simplify2.4s

Counts
82 → 82
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0102667
1202642
2653537
33147474
done5001471

prune340.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (pow y 2/3))
0.6b
(cbrt (cbrt y))
6.0b
(pow y 2/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt y)
4.0ms
(cbrt (pow y 2/3))
3.0ms
(cbrt (cbrt y))
6.0ms
(pow y 2/3)

series1.3s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt y)
302.0ms
(cbrt (pow y 2/3))
389.0ms
(cbrt (cbrt y))
325.0ms
(pow y 2/3)

simplify2.2s

Counts
77 → 77
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0101460
1207415
2673379
32758365
done5000361

prune566.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
12325
done2325

end0.0ms

sample2.1s

Algorithm
intervals
Results
499.0ms8033×body80valid
365.0ms8219×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid