Details

Time bar (total: 8.0s)

sample28.0ms

Algorithm
intervals
Results
10.0ms309×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize8.0ms

Local error

Found 1 expressions with local error:

6.3b
(/ (* x y) z)

rewrite15.0ms

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:
14.0ms
(/ (* x y) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* x y) z)

simplify719.0ms

Counts
24 → 24
Iterations

Useful iterations: done (718.0ms)

IterNodesCost
048186
1119179
2627155
done5000149

prune45.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.9b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
60.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series884.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt z)
265.0ms
(cbrt z)
272.0ms
(cbrt z)
69.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.4s

Counts
104 → 104
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01401213
14521163
23006877
done5000796

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (* x y) (/ 1 z))

rewrite48.0ms

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:
46.0ms
(* (* x y) (/ 1 z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x y) (/ 1 z))

simplify1.8s

Counts
41 → 41
Iterations

Useful iterations: done (1.8s)

IterNodesCost
083411
1248349
21602246
done5000238

prune75.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ z (* x y)))
6.3b
(/ z (* x y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
24.0ms
(/ 1 (/ z (* x y)))
13.0ms
(/ z (* x y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 1 (/ z (* x y)))
32.0ms
(/ z (* x y))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0118866
1295735
21522671
done5002665

prune142.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes242.0ms

Accuracy

91.8% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
02149
12645
22941
33241
done3240

end0.0ms

sample724.0ms

Algorithm
intervals
Results
277.0ms9579×body80valid