Details

Time bar (total: 16.0s)

sample54.0ms

Algorithm
intervals
Results
15.0ms258×body80valid
13.0ms272×body80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
101911
9571
8254
7169
6129
585
445
325
218
114
07

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize19.0ms

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))

rewrite29.0ms

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:
12.0ms
(- (* x (log (/ x y))) z)
10.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series188.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (* x (log (/ x y))) z)
50.0ms
(* x (log (/ x y)))
44.0ms
(log (/ x y))

simplify1.2s

Counts
126 → 126
Iterations
IterNodes
done5001
21514
1500
0215

prune821.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize63.0ms

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 x)) (cbrt y)) (cbrt y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
64×log-prod
57×cbrt-prod
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×add-exp-log
7×div-inv
5×pow1 div-exp
4×expm1-log1p-u add-cbrt-cube rem-log-exp log1p-expm1-u add-log-exp
3×pow1/3
1×log-div prod-exp log-pow
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(log (/ (/ (* (cbrt x) (cbrt x)) (cbrt y)) (cbrt y)))

series991.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt x)
268.0ms
(cbrt x)
321.0ms
(cbrt x)
145.0ms
(log (/ (/ (* (cbrt x) (cbrt x)) (cbrt y)) (cbrt y)))

simplify1.6s

Counts
130 → 130
Iterations
IterNodes
done5001
22106
1580
0261

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize53.0ms

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)

series1.3s

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt y)
334.0ms
(cbrt x)
325.0ms
(cbrt x)
338.0ms
(cbrt x)

simplify836.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
41995
3668
2215
179
046

prune487.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

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)
3.0ms
(log (/ x (cbrt y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt y)
263.0ms
(cbrt y)
256.0ms
(cbrt y)
178.0ms
(log (/ x (cbrt y)))

simplify904.0ms

Counts
86 → 86
Iterations
IterNodes
done5000
32355
2589
1238
0122

prune458.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
452.0ms8030×body80valid
389.0ms7822×body80nan