Details

Time bar (total: 3.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms346×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
20.0ms
(* (* y z) z)

series101.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (* (* y z) z))
45.0ms
(* (* y z) z)

simplify99.0ms

Counts
35 → 35

prune68.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
29.0ms
(* (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)))

series815.0ms

Counts
4 → 12
Calls
4 calls:
432.0ms
(* (cbrt (+ x (* (* y z) z))) (cbrt (+ x (* (* y z) z))))
125.0ms
(cbrt (+ x (* (* y z) z)))
124.0ms
(cbrt (+ x (* (* y z) z)))
133.0ms
(cbrt (+ x (* (* y z) z)))

simplify142.0ms

Counts
99 → 99

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (+ x (* (* y z) z)))
4.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
4.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
4.0ms
(cbrt (cbrt (+ x (* (* y z) z))))

series772.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (+ x (* (* y z) z)))
197.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
199.0ms
(cbrt (cbrt (+ x (* (* y z) z))))
239.0ms
(cbrt (cbrt (+ x (* (* y z) z))))

simplify68.0ms

Counts
73 → 73

prune302.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (pow z 2) y) x)
10.1b
(* (pow z 2) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
9.0ms
(+ (* (pow z 2) y) x)
12.0ms
(* (pow z 2) y)

series64.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (pow z 2) y) x)
29.0ms
(* (pow z 2) y)

simplify105.0ms

Counts
44 → 44

prune84.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample708.0ms

Algorithm
intervals
Results
285.0ms10733×body80valid