Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
8.0ms306×body80valid

simplify86.0ms

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: 8.3b

localize4.0ms

Local error

Found 1 expressions with local error:

8.0b
(* 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))

simplify69.0ms

Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0166133
1744118
23153118
35002118
done5002118

prune74.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
89.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series602.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
183.0ms
(cbrt y)
183.0ms
(cbrt y)
41.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify59.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0356579
12031443
25002404
done5002404

prune218.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (* 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:
10.0ms
(/ (* x y) z)

series22.0ms

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

simplify58.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170
done500170

prune54.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* x y) (/ 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
24.0ms
(* (* x y) (/ 1 z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (* x y) (/ 1 z))

simplify34.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0244183
11259141
25001127
done5001127

prune57.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

96.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120
done3120

end0.0ms

sample585.0ms

Algorithm
intervals
Results
248.0ms9609×body80valid