Details

Time bar (total: 15.9s)

sample33.0ms

Algorithm
intervals
Results
11.0ms313×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize8.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite16.0ms

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:
15.0ms
(/ (* x y) z)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (* x y) z)

simplify4.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune107.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b
(* x (/ y z))

rewrite22.0ms

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 expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
19.0ms
(* x (/ y z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* x (/ y z))

simplify4.6s

Counts
37 → 37
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
071289
1164272
2447242
31217242
43292242
done5000242

prune114.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ x (/ z y))

rewrite29.0ms

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:
20.0ms
(/ x (/ z y))

series38.0ms

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

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: 3 (983.0ms)

IterNodesCost
0152892
1313825
2947785
32760783
done5000783

prune295.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×times-frac
5×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
48.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt y)
285.0ms
(cbrt y)
288.0ms
(cbrt y)
292.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify1.4s

Counts
95 → 95
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01521332
13881263
21626919
done5000828

prune391.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11526
done1526

end0.0ms

sample612.0ms

Algorithm
intervals
Results
238.0ms9567×body80valid