Details

Time bar (total: 21.8s)

sample65.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
12.0ms238×body80nan

simplify5.0s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) z)
0.2b
(* x (log y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-cbrt-cube associate-*r* add-exp-log add-log-exp
3×associate-*l* prod-diff
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(- (* x (log y)) z)
9.0ms
(* x (log y))

series135.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(- (* x (log y)) z)
62.0ms
(* x (log y))

simplify2.3s

Counts
57 → 57
Iterations
IterNodes
done5000
33836
2753
1254
0111

prune292.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma x (log y) (- z))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (log y) (- z))

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(fma x (log y) (- z))

simplify5.0s

Counts
13 → 13
Iterations
IterNodes
done5000
44761
3468
2119
157
031

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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)

rewrite46.0ms

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:
19.0ms
(* (log (cbrt y)) (+ x x))
22.0ms
(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series808.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (log (cbrt y)) (+ x x))
134.0ms
(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
240.0ms
(cbrt y)
284.0ms
(cbrt y)

simplify2.2s

Counts
101 → 101
Iterations
IterNodes
done5000
21824
1381
0143

prune749.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×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 log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt y)
266.0ms
(cbrt y)
313.0ms
(cbrt (cbrt y))
469.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify1.1s

Counts
65 → 65
Iterations
IterNodes
done5000
31174
2324
1118
064

prune561.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes235.0ms

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
done7
07

end0.0ms

sample1.6s

Algorithm
intervals
Results
526.0ms8033×body80valid
453.0ms7767×body80nan
1.0ms1×body1280valid
0.0ms1×body320valid