Details

Time bar (total: 20.4s)

sample70.0ms

Algorithm
intervals
Results
19.0ms257×body80valid
13.0ms226×body80nan

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2188
3258
4458
5848
61258
71698
82618
95918
1020428
done50008

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.2b
(* x (log (/ x y)))
15.4b
(log (/ x y))

rewrite79.0ms

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+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
2×rem-log-exp log-pow
1×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:
33.0ms
(- (* x (log (/ x y))) z)
29.0ms
(* x (log (/ x y)))
6.0ms
(log (/ x y))

series315.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(- (* x (log (/ x y))) z)
98.0ms
(* x (log (/ x y)))
79.0ms
(log (/ x y))

simplify1.9s

Counts
126 → 126
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02151393
15001299
215131223
done50011219

prune890.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
4.9b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod rem-log-exp
4×expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
21.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt x)
331.0ms
(cbrt x)
335.0ms
(cbrt x)
159.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify899.0ms

Counts
72 → 72
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
075539
1144515
2340418
31178376
done5001373

prune770.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
4.9b
(log (/ (cbrt x) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
8.0ms
(log (/ (cbrt x) y))

series1.4s

Counts
4 → 12
Calls
4 calls:
395.0ms
(cbrt x)
377.0ms
(cbrt x)
389.0ms
(cbrt x)
245.0ms
(log (/ (cbrt x) y))

simplify1.5s

Counts
86 → 86
Iterations

Useful iterations: 3 (508.0ms)

IterNodesCost
0113634
1207589
2515551
32096532
done5001532

prune686.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
4.9b
(log (/ (cbrt x) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
7.0ms
(log (/ (cbrt x) y))

series1.2s

Counts
4 → 12
Calls
4 calls:
329.0ms
(cbrt x)
337.0ms
(cbrt x)
332.0ms
(cbrt x)
217.0ms
(log (/ (cbrt x) y))

simplify1.3s

Counts
86 → 86
Iterations

Useful iterations: 3 (453.0ms)

IterNodesCost
0113634
1207589
2515551
32096532
done5001532

prune688.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01932
12630
done2630

end0.0ms

sample2.7s

Algorithm
intervals
Results
610.0ms8043×body80valid
563.0ms7944×body80nan