Details

Time bar (total: 19.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms316×body80valid

simplify7.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
089
1169
2407
3985
44115
524325
done50015

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize4.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (/ y z))

rewrite8.0ms

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:
7.0ms
(* x (/ y z))

series24.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* x (/ y z))

simplify3.6s

Counts
35 → 35
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
069277
1166260
2447230
31371230
43646230
done5000230

prune77.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite25.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
177.0ms
(cbrt z)
183.0ms
(cbrt z)
76.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify804.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0115782
1303747
21072557
done5000557

prune232.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* x y) z)

rewrite4.0ms

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:
3.0ms
(/ (* x y) z)

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(/ (* x y) z)

simplify2.4s

Counts
24 → 24
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
048186
1111179
2383149
31804149
done5000149

prune39.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* x y) (/ 1 z))

rewrite12.0ms

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:
10.0ms
(* (* x y) (/ 1 z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* (* x y) (/ 1 z))

simplify2.8s

Counts
41 → 41
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
083411
1243324
2816238
33071238
done5000238

prune49.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11319
done1319

end0.0ms

sample496.0ms

Algorithm
intervals
Results
265.0ms9624×body80valid