Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify87.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012
done50012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize4.0ms

Local error

Found 1 expressions with local error:

7.0b
(* x (/ y z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
13.0ms
(* x (/ y z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* x (/ y z))

simplify68.0ms

Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118
done5002118

prune73.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
39.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series634.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
191.0ms
(cbrt z)
180.0ms
(cbrt z)
82.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify42.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0301473
11336381
25001342
done5001342

prune210.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series751.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
191.0ms
(cbrt z)
187.0ms
(cbrt z)
184.0ms
(cbrt z)

simplify58.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136
done5001136

prune174.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
7.2b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×add-sqr-sqrt prod-exp cbrt-unprod
6×pow1 add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×cbrt-undiv associate-*r/ div-exp add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv
Counts
4 → 60
Calls
4 calls:
38.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
26.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
26.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
30.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series521.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
143.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
142.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
147.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify42.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0319812
11383677
25001639
done5001639

prune232.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11212
done1212

end0.0ms

sample567.0ms

Algorithm
intervals
Results
244.0ms9563×body80valid