Details

Time bar (total: 8.7s)

sample35.0ms

Algorithm
intervals
Results
14.0ms325×body80valid

simplify952.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
089
1169
2427
31455
410015
done50005

prune5.0ms

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

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* y x) z)

simplify488.0ms

Counts
24 → 24
Iterations

Useful iterations: done (487.0ms)

IterNodesCost
050186
1124179
2641155
done5000149

prune51.0ms

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))

rewrite33.0ms

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:
31.0ms
(* (* y x) (/ 1 z))

series20.0ms

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

simplify1.7s

Counts
41 → 41
Iterations

Useful iterations: done (1.7s)

IterNodesCost
084411
1248349
21609246
done5000238

prune73.0ms

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))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 69
Calls
4 calls:
23.0ms
(/ (* y x) z)
4.0ms
(cbrt (/ (* y x) z))
4.0ms
(cbrt (/ (* y x) z))
4.0ms
(cbrt (/ (* y x) z))

series369.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* y x) z)
124.0ms
(cbrt (/ (* y x) z))
98.0ms
(cbrt (/ (* y x) z))
123.0ms
(cbrt (/ (* y x) z))

simplify610.0ms

Counts
81 → 81
Iterations

Useful iterations: done (607.0ms)

IterNodesCost
094804
1197773
2841701
done5000662

prune221.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

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))

rewrite139.0ms

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*
6×pow1
4×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×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)
86.0ms
(* (/ (/ (* y x) (cbrt z)) (cbrt z)) (/ 1 (cbrt z)))
24.0ms
(/ (/ (* y x) (cbrt z)) (cbrt z))
11.0ms
(/ (* y x) (cbrt z))

series621.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt z)
59.0ms
(* (/ (/ (* y x) (cbrt z)) (cbrt z)) (/ 1 (cbrt z)))
163.0ms
(/ (/ (* y x) (cbrt z)) (cbrt z))
126.0ms
(/ (* y x) (cbrt z))

simplify733.0ms

Counts
281 → 281
Iterations

Useful iterations: done (723.0ms)

IterNodesCost
03284424
110764148
done50003686

prune819.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes370.0ms

Accuracy

71.1% (1.8b remaining)

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

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02779
13375
done3375

end0.0ms

sample1.3s

Algorithm
intervals
Results
439.0ms9475×body80valid