Details

Time bar (total: 10.6s)

sample52.0ms

Algorithm
intervals
Results
19.0ms257×body80valid
17.0ms267×body80nan

simplify997.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
181950
171771
161648
151469
141346
131180
12948
11602
10359
9234
8162
7127
6105
573
445
325
218
114
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
14.8b
(log (/ x y))

rewrite27.0ms

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 insert-posit16 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 → 120
Calls
3 calls:
10.0ms
(- (* x (log (/ x y))) z)
13.0ms
(* x (log (/ x y)))
2.0ms
(log (/ x y))

series187.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x (log (/ x y))) z)
68.0ms
(* x (log (/ x y)))
52.0ms
(log (/ x y))

simplify834.0ms

Counts
129 → 129
Iterations
IterNodes
done2002
21012
1455
0218

prune507.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.6b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 log-prod rem-log-exp
4×expm1-log1p-u add-cbrt-cube div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
15.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt y)
217.0ms
(cbrt y)
213.0ms
(cbrt y)
120.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify578.0ms

Counts
76 → 76
Iterations
IterNodes
done2002
3808
2305
1145
077

prune373.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series835.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt x)
206.0ms
(cbrt y)
196.0ms
(cbrt y)
191.0ms
(cbrt y)

simplify424.0ms

Counts
68 → 68
Iterations
IterNodes
done2000
4966
3364
2176
181
048

prune437.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.2b
(log (/ (cbrt x) y))

rewrite9.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(log (/ (cbrt x) y))

series831.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt x)
239.0ms
(cbrt x)
227.0ms
(cbrt x)
128.0ms
(log (/ (cbrt x) y))

simplify603.0ms

Counts
90 → 90
Iterations
IterNodes
done2002
31118
2401
1208
0115

prune465.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.2s

Algorithm
intervals
Results
960.0ms8064×body80nan
757.0ms8035×body80valid