Details

Time bar (total: 17.9s)

sample65.0ms

Algorithm
intervals
Results
18.0ms257×body80valid
13.0ms226×body80nan

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1138
2168
3238
4418
5728
6988
71418
82548
95098
1015098
done50008

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize22.0ms

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))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
42×add-sqr-sqrt
40×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×associate-*l*
2×rem-log-exp log-pow
1×sub-neg log-div flip3-- diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 107
Calls
3 calls:
35.0ms
(- (* x (log (/ x y))) z)
33.0ms
(* x (log (/ x y)))
6.0ms
(log (/ x y))

series270.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(- (* x (log (/ x y))) z)
91.0ms
(* x (log (/ x y)))
64.0ms
(log (/ x y))

simplify814.0ms

Counts
116 → 116
Iterations

Useful iterations: done (801.0ms)

IterNodesCost
01921277
13931212
29791149
done50001117

prune740.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.5s

Counts
4 → 12
Calls
4 calls:
376.0ms
(cbrt y)
372.0ms
(cbrt y)
372.0ms
(cbrt x)
346.0ms
(cbrt x)

simplify1.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (194.0ms)

IterNodesCost
042260
177244
2211220
3659208
41936208
done5000208

prune570.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.9b
(log (/ x (cbrt y)))

rewrite19.0ms

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×add-cbrt-cube add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 66
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
10.0ms
(log (/ x (cbrt y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt y)
359.0ms
(cbrt y)
367.0ms
(cbrt y)
251.0ms
(log (/ x (cbrt y)))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0118609
1235568
2582527
32389503
done5001500

prune731.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (pow (log (/ x (cbrt y))) 3))
0.7b
(pow (log (/ x (cbrt y))) 3)
4.9b
(log (/ x (cbrt y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×log-prod
18×times-frac
10×pow1
8×add-exp-log unpow-prod-down cube-prod
5×log-pow add-cbrt-cube
4×add-log-exp
3×pow-unpow
2×cube-mult pow1/3 unpow3 rem-log-exp sqr-pow
1×pow-to-exp log-div pow-pow div-exp pow-exp rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt y)
7.0ms
(cbrt (pow (log (/ x (cbrt y))) 3))
8.0ms
(pow (log (/ x (cbrt y))) 3)
9.0ms
(log (/ x (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
385.0ms
(cbrt y)
263.0ms
(cbrt (pow (log (/ x (cbrt y))) 3))
376.0ms
(pow (log (/ x (cbrt y))) 3)
268.0ms
(log (/ x (cbrt y)))

simplify2.4s

Counts
104 → 104
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01591175
1373966
21499887
done5001884

prune690.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes301.0ms

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
01321
11721
done1721

end0.0ms

sample2.2s

Algorithm
intervals
Results
632.0ms8043×body80valid
573.0ms7944×body80nan