Details

Time bar (total: 8.7s)

sample15.0ms

Algorithm
intervals
Results
5.0ms302×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize6.0ms

Local error

Found 1 expressions with local error:

7.5b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
9.0ms
(/ (* x y) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (* x y) z)

simplify2.3s

Counts
24 → 24
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
048186
1110179
2384149
31757149
done5000149

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ x (/ z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
9.0ms
(/ x (/ z y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ x (/ z y))

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (642.0ms)

IterNodesCost
0150880
1311813
2943773
32755771
done5000771

prune141.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
160×add-sqr-sqrt
125×cbrt-prod associate-*r*
124×add-cube-cbrt *-un-lft-identity
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
12×unswap-sqr
6×pow1
5×associate-*l* div-inv
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 217
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
98.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

series527.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt z)
170.0ms
(cbrt z)
172.0ms
(cbrt z)
21.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt y))))

simplify725.0ms

Counts
229 → 229
Iterations

Useful iterations: done (718.0ms)

IterNodesCost
04274954
113714620
done50004016

prune551.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
157×add-exp-log
145×add-sqr-sqrt
125×associate-*r*
124×add-cube-cbrt *-un-lft-identity
121×cbrt-prod
75×prod-exp cbrt-unprod
73×add-cbrt-cube
51×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×associate-*l* div-inv
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
Counts
4 → 235
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
380.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt z)
175.0ms
(cbrt z)
174.0ms
(cbrt z)
22.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))) (/ x (/ (cbrt z) (cbrt y))))

simplify676.0ms

Counts
247 → 247
Iterations

Useful iterations: done (668.0ms)

IterNodesCost
04707757
114907351
done50015011

prune665.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11219
done1219

end0.0ms

sample409.0ms

Algorithm
intervals
Results
156.0ms9601×body80valid