Details

Time bar (total: 11.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms350×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
7.0ms
(* (* y z) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ x (* (* y z) z))
28.0ms
(* (* y z) z)

simplify2.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (703.0ms)

IterNodesCost
062345
1168306
2627273
32484270
done5000270

prune96.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (pow (* y (pow z 2)) 1))
9.9b
(* y (pow z 2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*r*
7×add-exp-log
6×add-cube-cbrt
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×fma-def associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out
Counts
2 → 46
Calls
2 calls:
4.0ms
(+ x (pow (* y (pow z 2)) 1))
6.0ms
(* y (pow z 2))

series80.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (pow (* y (pow z 2)) 1))
29.0ms
(* y (pow z 2))

simplify978.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
081469
1185370
2521331
31802331
done5001331

prune124.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.5b
(* (cbrt y) (pow z 2))
5.2b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
22×add-sqr-sqrt
21×prod-exp
13×cbrt-prod
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×pow1 associate-*r* cbrt-unprod
8×unswap-sqr
7×associate-*l*
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×pow1/3 *-commutative
Counts
4 → 88
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
7.0ms
(* (cbrt y) (pow z 2))
19.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt y)
188.0ms
(cbrt y)
136.0ms
(* (cbrt y) (pow z 2))
50.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (pow z 2)))

simplify3.4s

Counts
100 → 100
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0107951
1244874
2896663
34752573
done5000573

prune248.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (* (* y z) z))
0.0b
(+ x (log1p (expm1 (* (* y z) z))))
0.0b
(log1p (expm1 (* (* y z) z)))
0.2b
(* (* y z) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt add-cube-cbrt
5×log1p-expm1-u
4×expm1-log1p-u
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×log1p-udef sum-log
1×+-commutative expm1-log1p flip3-+ log1p-expm1 associate-*l* *-commutative flip-+ distribute-lft-out expm1-udef
Counts
4 → 60
Calls
4 calls:
0.0ms
(expm1 (* (* y z) z))
3.0ms
(+ x (log1p (expm1 (* (* y z) z))))
0.0ms
(log1p (expm1 (* (* y z) z)))
7.0ms
(* (* y z) z)

series171.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(expm1 (* (* y z) z))
41.0ms
(+ x (log1p (expm1 (* (* y z) z))))
39.0ms
(log1p (expm1 (* (* y z) z)))
27.0ms
(* (* y z) z)

simplify2.2s

Counts
72 → 72
Iterations

Useful iterations: 3 (859.0ms)

IterNodesCost
091621
1215515
2737453
33133451
done5001451

prune160.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample415.0ms

Algorithm
intervals
Results
206.0ms10747×body80valid