Details

Time bar (total: 18.1s)

sample44.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
10.0ms259×body80nan

simplify495.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2188
3258
4458
5728
6978
71178
81428
91828
102458
112758
122888
done2888

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
13.2b
(log (/ x y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
add-exp-log
pow1
add-cbrt-cube div-inv add-log-exp
associate-*r*
expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
rem-log-exp log-pow
sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
16.0ms
(- (* x (log (/ x y))) z)
27.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series238.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(- (* x (log (/ x y))) z)
77.0ms
(* x (log (/ x y)))
61.0ms
(log (/ x y))

simplify2.4s

Counts
126 → 126
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02151393
14121296
27811218
324671187
done50011181

prune355.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
276.0ms
(cbrt x)
299.0ms
(cbrt y)
220.0ms
(cbrt y)

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
046284
175268
2148244
3303232
4759232
52538232
done5000232

prune398.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt y)
394.0ms
(cbrt (cbrt x))
364.0ms
(cbrt (cbrt x))
400.0ms
(cbrt (cbrt x))

simplify3.2s

Counts
73 → 73
Iterations

Useful iterations: done (3.2s)

IterNodesCost
057419
192400
2164376
3321364
4926364
53641364
done5001361

prune413.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
2.9b
(log (/ (cbrt x) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
add-exp-log
pow1
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(log (/ (cbrt x) y))

series1.4s

Counts
4 → 12
Calls
4 calls:
629.0ms
(cbrt x)
291.0ms
(cbrt x)
299.0ms
(cbrt x)
187.0ms
(log (/ (cbrt x) y))

simplify2.4s

Counts
86 → 86
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0113634
1202589
2403551
3904532
42652530
done5000527

prune415.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01321
11721
done1721

end0.0ms

sample1.6s

Algorithm
intervals
Results
425.0ms8025×body80valid
380.0ms8040×body80nan