Details

Time bar (total: 25.6s)

sample40.0ms

Algorithm
intervals
Results
20.0ms296×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
089
1169
2427
3995
43865
517055
done50015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize4.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (/ y z) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
15.0ms
(* (/ y z) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (/ y z) x)

simplify6.6s

Counts
35 → 35
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
068261
1153256
2423224
31176224
43630224
done5000224

prune93.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b
(* y (/ x z))

rewrite15.0ms

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

series20.0ms

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

simplify4.2s

Counts
35 → 35
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
070277
1163260
2447230
31167230
42967230
done5000230

prune149.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))
10.4b
(cbrt (/ x z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
38.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
2.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))

series416.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* y (* (cbrt (/ x z)) (cbrt (/ x z))))
92.0ms
(cbrt (/ x z))
94.0ms
(cbrt (/ x z))
105.0ms
(cbrt (/ x z))

simplify2.8s

Counts
100 → 100
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01271058
12361011
2530927
31253902
42881801
done5000762

prune305.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(* (/ y (cbrt z)) x)
3.7b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
19.0ms
(* (/ y (cbrt z)) x)
85.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series831.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt z)
339.0ms
(cbrt z)
172.0ms
(* (/ y (cbrt z)) x)
46.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify2.2s

Counts
127 → 127
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01711543
14121367
21537947
done5000788

prune406.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes436.0ms

Accuracy

84.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02149
12449
done2449

end0.0ms

sample969.0ms

Algorithm
intervals
Results
584.0ms9601×body80valid