Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms236×body80nan

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1184
2254
3454
4764
51024
61224
71524
82464
93534
105594
115624
125634
135634
done5634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
13.3b
(log (/ x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
add-exp-log
pow1
add-cbrt-cube div-inv add-log-exp
associate-*r*
expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
rem-log-exp log-pow
sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
14.0ms
(- (* x (log (/ x y))) z)
12.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series159.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x (log (/ x y))) z)
46.0ms
(* x (log (/ x y)))
41.0ms
(log (/ x y))

simplify47.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0413767
11429702
25001683
done5001683

prune279.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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

series738.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
184.0ms
(cbrt y)
182.0ms
(cbrt x)
189.0ms
(cbrt x)

simplify51.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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

series745.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
197.0ms
(cbrt y)
184.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify53.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152
done5001152

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.8b
(log (/ (cbrt x) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
add-exp-log
pow1
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
rem-log-exp
log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(log (/ (cbrt x) y))

series694.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
195.0ms
(cbrt x)
184.0ms
(cbrt x)
129.0ms
(log (/ (cbrt x) y))

simplify122.0ms

Counts
86 → 86
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0200398
1480377
21268365
34417355
45001355
done5001355

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01512
11512
done1512

end0.0ms

sample887.0ms

Algorithm
intervals
Results
254.0ms8031×body80valid
177.0ms8107×body80nan