Details

Time bar (total: 8.8s)

sample31.0ms

Algorithm
intervals
Results
12.0ms310×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1883
21283
31583
41683
done1683

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize6.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (* x y) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
8.0ms
(/ (* x y) z)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (* x y) z)

simplify1.1s

Counts
24 → 24
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0483643
11193351
26243231
done50003111

prune112.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (* x y) (/ 1 z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*l* associate-*r/ un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
25.0ms
(* (* x y) (/ 1 z))

series33.0ms

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

simplify1.4s

Counts
41 → 41
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0838664
12486557
215925372
done50025052

prune200.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ z (* x y)))
3.9b
(/ z (* x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×clear-num frac-2neg cbrt-unprod add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 77
Calls
2 calls:
22.0ms
(/ 1 (/ z (* x y)))
12.0ms
(/ z (* x y))

series51.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ z (* x y)))
24.0ms
(/ z (* x y))

simplify864.0ms

Counts
83 → 83
Iterations

Useful iterations: done (860.0ms)

IterNodesCost
011818431
129514083
2152313923
done500013521

prune251.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.0b
(* (/ 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×*-un-lft-identity associate-*r* add-cube-cbrt
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 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
63.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series841.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt z)
273.0ms
(cbrt z)
257.0ms
(cbrt z)
78.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify1.8s

Counts
104 → 104
Iterations

Useful iterations: done (1.8s)

IterNodesCost
014030298
145127744
2298127143
done500123103

prune509.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes474.0ms

Accuracy

63% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
024877
132877
done32877

end0.0ms

sample876.0ms

Algorithm
intervals
Results
623.0ms9605×body80valid