Details

Time bar (total: 17.2s)

sample36.0ms

Algorithm
intervals
Results
10.0ms258×body80valid
8.0ms272×body80nan

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07193
114193
218193
325193
445193
585193
6129193
7169193
8254193
9571193
101911193
done5000193

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
13.9b
(log (/ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×*-un-lft-identity add-cube-cbrt
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×log-div sub-neg flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr
Counts
3 → 117
Calls
3 calls:
22.0ms
(- (* x (log (/ x y))) z)
11.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series210.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- (* x (log (/ x y))) z)
63.0ms
(* x (log (/ x y)))
58.0ms
(log (/ x y))

simplify1.8s

Counts
126 → 126
Iterations

Useful iterations: done (1.7s)

IterNodesCost
021537818
150035719
2151434687
done500134577

prune728.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×pow1
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×log-pow
5×rem-log-exp
4×expm1-log1p-u add-cbrt-cube div-exp prod-exp log1p-expm1-u add-log-exp
3×log-div pow1/3
1×pow2 frac-times log-prod pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
1.0ms
(cbrt x)
36.0ms
(log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

series892.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt x)
257.0ms
(cbrt x)
261.0ms
(cbrt x)
126.0ms
(log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: 3 (261.0ms)

IterNodesCost
07117085
113915798
234015519
3118714901
done500014901

prune659.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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

series1.1s

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt y)
265.0ms
(cbrt x)
310.0ms
(cbrt x)
287.0ms
(cbrt x)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
04611972
17910604
221510448
36689808
419959808
done50009808

prune540.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
4.2b
(log (/ x (cbrt y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(log (/ x (cbrt y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
288.0ms
(cbrt y)
329.0ms
(cbrt y)
279.0ms
(cbrt y)
180.0ms
(log (/ x (cbrt y)))

simplify1.4s

Counts
86 → 86
Iterations

Useful iterations: done (1.4s)

IterNodesCost
012224927
123822551
258922224
3235521652
done500021572

prune567.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes416.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012473
115473
done15473

end0.0ms

sample1.7s

Algorithm
intervals
Results
858.0ms8030×body80valid
344.0ms7822×body80nan