Details

Time bar (total: 4.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms303×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1122
2152
3162
4162
done162

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ (* x y) 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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(/ (* x y) z)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* x y) z)

simplify74.0ms

Counts
26 → 26
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
011391
151676
2247376
3500276
done500276

prune63.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
17.0ms
(/ x (/ z y))

series25.0ms

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

simplify48.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0327458
11333438
25001437
done5001437

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(/ x (/ (cbrt z) y))
3.5b
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
180×add-sqr-sqrt
149×*-un-lft-identity
145×add-cube-cbrt
87×add-exp-log
72×cbrt-prod
71×associate-*r*
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
12×cbrt-unprod unswap-sqr
10×div-inv
7×associate-*l*
6×pow1 rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 268
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(/ x (/ (cbrt z) y))
90.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

series591.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt z)
199.0ms
(cbrt z)
131.0ms
(/ x (/ (cbrt z) y))
58.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) y)))

simplify65.0ms

Counts
280 → 280
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
011552554
150012152
done50012152

prune877.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(/ x (/ (cbrt z) y))
3.5b
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
205×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
96×cbrt-prod
74×associate-/l*
30×add-exp-log
23×associate-/r*
21×add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp associate-/r/ cbrt-unprod
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 302
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
12.0ms
(/ x (/ (cbrt z) y))
33.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
212.0ms
(cbrt z)
142.0ms
(/ x (/ (cbrt z) y))
56.0ms
(/ (/ x (/ (cbrt z) y)) (* (cbrt z) (cbrt z)))

simplify137.0ms

Counts
314 → 314
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
010182959
149932675
250022675
done50022675

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes243.0ms

Accuracy

86.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314
done2314

end0.0ms

sample424.0ms

Algorithm
intervals
Results
169.0ms9648×body80valid