Details

Time bar (total: 21.4s)

sample69.0ms

Algorithm
intervals
Results
17.0ms258×body80valid
14.0ms279×body80nan

simplify5.7s

Counts
1 → 1
Iterations
IterNodes
done5001
71296
6469
5213
496
351
229
115
07

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
9.0ms
(* x (log y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* x (log y))

simplify1.1s

Counts
30 → 30
Iterations
IterNodes
done5001
31264
2291
1113
059

prune153.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (cbrt y)) (+ x x))
0.3b
(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
12×cbrt-prod associate-+r+ log-prod associate-*r*
8×distribute-rgt-in distribute-lft-in
7×pow1
6×add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out pow1/3 distribute-lft-out
2×associate-+l+ flip3-+ associate-*r/ log-pow flip-+
1×+-commutative sum-log fma-def distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
24.0ms
(* (log (cbrt y)) (+ x x))
13.0ms
(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series695.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (log (cbrt y)) (+ x x))
143.0ms
(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
204.0ms
(cbrt y)
211.0ms
(cbrt y)

simplify2.2s

Counts
101 → 101
Iterations
IterNodes
done5000
21824
1381
0143

prune672.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (log (cbrt y)) (+ x x) (* x (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod log-prod *-un-lft-identity add-cube-cbrt
7×pow1
6×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma (log (cbrt y)) (+ x x) (* x (log (cbrt y))))
16.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
315.0ms
(fma (log (cbrt y)) (+ x x) (* x (log (cbrt y))))
147.0ms
(* x (log (cbrt y)))
309.0ms
(cbrt y)
298.0ms
(cbrt y)

simplify2.2s

Counts
82 → 82
Iterations
IterNodes
done5001
33496
2691
1206
0101

prune606.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
6.0b
(pow y 2/3)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down pow1/3
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(pow y 2/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt (cbrt y))
270.0ms
(cbrt y)
250.0ms
(cbrt y)
296.0ms
(pow y 2/3)

simplify2.4s

Counts
73 → 73
Iterations
IterNodes
done5000
32696
2595
1176
081

prune639.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample2.1s

Algorithm
intervals
Results
446.0ms8038×body80valid
408.0ms8153×body80nan