Details

Time bar (total: 13.5s)

sample33.0ms

Algorithm
intervals
Results
9.0ms258×body80valid
8.0ms272×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07193
113193
216193
323193
441193
571193
693193
7133193
8238193
9476193
101386193
done5001193

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize26.0ms

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))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
26×distribute-rgt-in distribute-lft-in associate--l+
add-exp-log
pow1
add-cbrt-cube div-inv add-log-exp
associate-*r*
associate-*l*
rem-log-exp log-pow
log-div sub-neg flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr
Counts
3 → 107
Calls
3 calls:
25.0ms
(- (* x (log (/ x y))) z)
20.0ms
(* x (log (/ x y)))
5.0ms
(log (/ x y))

series241.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(- (* x (log (/ x y))) z)
74.0ms
(* x (log (/ x y)))
46.0ms
(log (/ x y))

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
019234909
139333186
298532602
done500032372

prune709.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

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))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×pow1
cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
log-pow
rem-log-exp
add-cbrt-cube div-exp prod-exp add-log-exp
log-div pow1/3
pow2 frac-times log-prod pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
29.0ms
(log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

series924.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt x)
226.0ms
(cbrt x)
320.0ms
(cbrt x)
131.0ms
(log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

simplify1.0s

Counts
67 → 67
Iterations

Useful iterations: 3 (279.0ms)

IterNodesCost
06715335
113214048
233313769
3113713151
done500113151

prune461.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize78.0ms

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
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
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:
291.0ms
(cbrt y)
322.0ms
(cbrt x)
257.0ms
(cbrt x)
273.0ms
(cbrt x)

simplify1.1s

Counts
56 → 56
Iterations

Useful iterations: 3 (133.0ms)

IterNodesCost
04210684
1759316
22069160
36378520
418428520
done50008520

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize54.0ms

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)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
add-exp-log
pow1
add-cbrt-cube add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(log (/ x (cbrt y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt y)
253.0ms
(cbrt y)
328.0ms
(cbrt y)
167.0ms
(log (/ x (cbrt y)))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011823417
123421041
258620764
3238720142
done500020062

prune484.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes403.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012473
115473
done15473

end0.0ms

sample1.7s

Algorithm
intervals
Results
648.0ms7822×body80nan
555.0ms8030×body80valid