Details

Time bar (total: 13.8s)

sample128.0ms

Algorithm
intervals
Results
13.0ms354×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
9.0ms
(+ x (* (* y z) z))
20.0ms
(* (* y z) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ x (* (* y z) z))
36.0ms
(* (* y z) z)

simplify2.6s

Counts
37 → 37
Iterations
IterNodes
done5008
32572
2540
1166
060

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
0.6b
(cbrt (+ x (* (* y z) z)))
0.6b
(cbrt (+ x (* (* y z) z)))
0.6b
(cbrt (+ x (* (* y z) z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
40.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
3.0ms
(cbrt (+ x (* (* y z) z)))
3.0ms
(cbrt (+ x (* (* y z) z)))
3.0ms
(cbrt (+ x (* (* y z) z)))

series714.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
165.0ms
(cbrt (+ x (* (* y z) z)))
165.0ms
(cbrt (+ x (* (* y z) z)))
175.0ms
(cbrt (+ x (* (* y z) z)))

simplify2.3s

Counts
103 → 103
Iterations
IterNodes
done5020
33419
21002
1340
0135

prune560.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (* z z)))
9.6b
(* y (* z z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 32
Calls
2 calls:
13.0ms
(+ x (* y (* z z)))
32.0ms
(* y (* z z))

series125.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ x (* y (* z z)))
51.0ms
(* y (* z z))

simplify2.1s

Counts
38 → 38
Iterations
IterNodes
done5000
32163
2485
1151
058

prune158.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* (* y z) (sqrt z)) (sqrt z))
0.1b
(* (* y z) (sqrt z))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
12×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt sqrt-prod
2×associate-*l* *-commutative insert-posit16 add-log-exp
Counts
2 → 47
Calls
2 calls:
108.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
24.0ms
(* (* y z) (sqrt z))

series136.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
84.0ms
(* (* y z) (sqrt z))

simplify3.2s

Counts
53 → 53
Iterations
IterNodes
done5000
33739
21051
1274
093

prune179.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes259.0ms

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
done9
19
06

end0.0ms

sample619.0ms

Algorithm
intervals
Results
374.0ms10639×body80valid