Details

Time bar (total: 16.5s)

sample145.0ms

Algorithm
intervals
Results
19.0ms354×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
111
06

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×+-commutative sum-log flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
7.0ms
(+ x (* (* y z) z))
33.0ms
(* (* y z) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ x (* (* y z) z))
38.0ms
(* (* y z) z)

simplify2.1s

Counts
44 → 44
Iterations
IterNodes
done5000
32835
2578
1174
064

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite84.0ms

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×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 99
Calls
4 calls:
62.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
5.0ms
(cbrt (+ x (* (* y z) z)))
6.0ms
(cbrt (+ x (* (* y z) z)))
6.0ms
(cbrt (+ x (* (* y z) z)))

series734.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
166.0ms
(cbrt (+ x (* (* y z) z)))
181.0ms
(cbrt (+ x (* (* y z) z)))
160.0ms
(cbrt (+ x (* (* y z) z)))

simplify2.5s

Counts
111 → 111
Iterations
IterNodes
done5002
33557
21090
1354
0139

prune666.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

6.3b
(fma y (* z z) x)

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma y (* z z) x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(fma y (* z z) x)

simplify4.4s

Counts
14 → 14
Iterations
IterNodes
done5000
54499
4868
3231
280
130
020

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

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×expm1-log1p-u associate-*l* *-commutative insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 51
Calls
2 calls:
69.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
34.0ms
(* (* y z) (sqrt z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (* (* y z) (sqrt z)) (sqrt z))
70.0ms
(* (* y z) (sqrt z))

simplify3.3s

Counts
57 → 57
Iterations
IterNodes
done5002
33630
21031
1285
097

prune261.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes269.0ms

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
done9
19
06

end0.0ms

sample1.2s

Algorithm
intervals
Results
923.0ms10639×body80valid