Details

Time bar (total: 16.5s)

sample36.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
8.0ms278×body80nan

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5000
83880
71171
6415
5191
483
341
225
114
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
distribute-rgt-in distribute-lft-in
pow1
add-cbrt-cube add-exp-log
diff-log associate-*r*
sub-neg associate-*l*
flip3-- flip--
associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(- (* x (log y)) z)
50.0ms
(- (- (* x (log y)) z) y)
12.0ms
(* x (log y))

series186.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- (* x (log y)) z)
47.0ms
(- (- (* x (log y)) z) y)
53.0ms
(* x (log y))

simplify2.5s

Counts
76 → 76
Iterations
IterNodes
done5002
33841
2726
1273
0125

prune427.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (cbrt y) (cbrt y))
268.0ms
(cbrt y)
218.0ms
(cbrt y)
266.0ms
(cbrt y)

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune506.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* x (log (pow y 2/3)))
0.6b
(cbrt y)
6.1b
(pow y 2/3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×log-prod
23×add-sqr-sqrt
19×*-un-lft-identity add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
10×pow1
cbrt-prod unpow-prod-down associate-*r* add-exp-log
add-cbrt-cube
associate-*l*
add-log-exp
pow-unpow log-pow sqr-pow
pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
pow-to-exp pow-pow pow-exp
Counts
4 → 93
Calls
4 calls:
15.0ms
(* x (log (cbrt y)))
15.0ms
(* x (log (pow y 2/3)))
1.0ms
(cbrt y)
3.0ms
(pow y 2/3)

series693.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* x (log (cbrt y)))
112.0ms
(* x (log (pow y 2/3)))
257.0ms
(cbrt y)
213.0ms
(pow y 2/3)

simplify875.0ms

Counts
105 → 105
Iterations
IterNodes
done5000
21398
1365
0165

prune678.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 2/3)))
0.3b
(* x 1/3)
0.3b
(* (* x 1/3) (log y))
6.1b
(pow y 2/3)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×log-prod
17×*-un-lft-identity add-cube-cbrt
15×pow1
14×add-exp-log
13×add-cbrt-cube
11×associate-*r*
10×distribute-rgt-in distribute-lft-in
unpow-prod-down
associate-*l*
pow-prod-down prod-exp cbrt-unprod
add-log-exp
pow-unpow *-commutative sqr-pow
log-pow unswap-sqr
pow-to-exp pow-pow pow-exp
Counts
4 → 93
Calls
4 calls:
13.0ms
(* x (log (pow y 2/3)))
8.0ms
(* x 1/3)
26.0ms
(* (* x 1/3) (log y))
3.0ms
(pow y 2/3)

series434.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* x (log (pow y 2/3)))
22.0ms
(* x 1/3)
66.0ms
(* (* x 1/3) (log y))
242.0ms
(pow y 2/3)

simplify1.1s

Counts
105 → 105
Iterations
IterNodes
done5000
21989
1400
0165

prune615.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample1.5s

Algorithm
intervals
Results
474.0ms8036×body80valid
349.0ms8183×body80nan