Details

Time bar (total: 10.3s)

sample46.0ms

Algorithm
intervals
Results
20.0ms325×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(/ (* y x) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
10.0ms
(/ (* y x) z)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (* y x) z)

simplify599.0ms

Counts
24 → 24
Iterations

Useful iterations: done (597.0ms)

IterNodesCost
050186
1124179
2641155
done5000149

prune67.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (* y x) (/ 1 z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
times-frac
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 cbrt-unprod
div-exp
pow-prod-down
cbrt-undiv rec-exp 1-exp
associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
38.0ms
(* (* y x) (/ 1 z))

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (* y x) (/ 1 z))

simplify2.3s

Counts
41 → 41
Iterations

Useful iterations: done (2.3s)

IterNodesCost
084411
1248349
21609246
done5000238

prune81.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (* y x) z)
14.2b
(cbrt (/ (* y x) z))
14.2b
(cbrt (/ (* y x) z))
14.2b
(cbrt (/ (* y x) z))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log add-cbrt-cube
pow1 div-inv add-log-exp
cbrt-div pow1/3 associate-/r*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 69
Calls
4 calls:
29.0ms
(/ (* y x) z)
7.0ms
(cbrt (/ (* y x) z))
7.0ms
(cbrt (/ (* y x) z))
5.0ms
(cbrt (/ (* y x) z))

series432.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* y x) z)
122.0ms
(cbrt (/ (* y x) z))
153.0ms
(cbrt (/ (* y x) z))
116.0ms
(cbrt (/ (* y x) z))

simplify606.0ms

Counts
81 → 81
Iterations

Useful iterations: done (602.0ms)

IterNodesCost
094804
1197773
2841701
done5000662

prune358.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
1.6b
(* (/ (/ (* y x) (cbrt z)) (cbrt z)) (/ 1 (cbrt z)))
1.7b
(/ (/ (* y x) (cbrt z)) (cbrt z))
1.9b
(/ (* y x) (cbrt z))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
244×times-frac
150×add-sqr-sqrt
131×cbrt-prod
110×*-un-lft-identity
104×add-cube-cbrt
78×add-exp-log
64×associate-*l*
35×div-exp
29×add-cbrt-cube
22×associate-*r* prod-exp
21×cbrt-undiv
17×div-inv
15×unswap-sqr
12×associate-/r* cbrt-unprod
11×associate-/l*
pow1
rec-exp 1-exp add-log-exp
frac-2neg clear-num
frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/
Counts
4 → 269
Calls
4 calls:
1.0ms
(cbrt z)
100.0ms
(* (/ (/ (* y x) (cbrt z)) (cbrt z)) (/ 1 (cbrt z)))
42.0ms
(/ (/ (* y x) (cbrt z)) (cbrt z))
21.0ms
(/ (* y x) (cbrt z))

series678.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt z)
70.0ms
(* (/ (/ (* y x) (cbrt z)) (cbrt z)) (/ 1 (cbrt z)))
181.0ms
(/ (/ (* y x) (cbrt z)) (cbrt z))
131.0ms
(/ (* y x) (cbrt z))

simplify635.0ms

Counts
281 → 281
Iterations

Useful iterations: done (622.0ms)

IterNodesCost
03284424
110764148
done50003686

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes452.0ms

Accuracy

71.1% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 6.1b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02779
13375
done3375

end0.0ms

sample1.2s

Algorithm
intervals
Results
631.0ms9475×body80valid