Details

Time bar (total: 8.9s)

sample41.0ms

Algorithm
intervals
Results
16.0ms366×body80valid

simplify41.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) z)
0.0b
(+ (* (+ (* x y) z) y) t)
0.1b
(* (+ (* x y) z) y)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*l/ sum-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
11.0ms
(+ (* x y) z)
14.0ms
(+ (* (+ (* x y) z) y) t)
51.0ms
(* (+ (* x y) z) y)

series175.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* x y) z)
90.0ms
(+ (* (+ (* x y) z) y) t)
52.0ms
(* (+ (* x y) z) y)

simplify1.6s

Counts
51 → 51

prune128.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

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:
77.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
6.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))

series588.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
119.0ms
(cbrt (+ (* x y) z))
123.0ms
(cbrt (+ (* x y) z))
159.0ms
(cbrt (+ (* x y) z))

simplify583.0ms

Counts
99 → 99

prune449.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
20×cbrt-prod
14×flip3-+ flip-+
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
Counts
4 → 66
Calls
4 calls:
40.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
28.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
10.0ms
(cbrt (cbrt (+ (* x y) z)))
12.0ms
(cbrt (cbrt (+ (* x y) z)))

series689.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
197.0ms
(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
174.0ms
(cbrt (cbrt (+ (* x y) z)))
168.0ms
(cbrt (cbrt (+ (* x y) z)))

simplify867.0ms

Counts
78 → 78

prune465.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* x y) z))
0.6b
(cbrt (+ (* x y) z))
0.7b
(- (* (* x y) (* x y)) (* z z))
23.8b
(cbrt (- (* (* x y) (* x y)) (* z z)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×flip3-- flip3-+ flip-- flip-+ difference-of-squares
1×sub-neg diff-log
Counts
4 → 53
Calls
4 calls:
9.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
33.0ms
(- (* (* x y) (* x y)) (* z z))
26.0ms
(cbrt (- (* (* x y) (* x y)) (* z z)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ (* x y) z))
137.0ms
(cbrt (+ (* x y) z))
100.0ms
(- (* (* x y) (* x y)) (* z z))
139.0ms
(cbrt (- (* (* x y) (* x y)) (* z z)))

simplify608.0ms

Counts
65 → 65

prune441.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify28.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
406.0ms11320×body80valid