Details

Time bar (total: 5.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms300×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize4.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* 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 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:
3.0ms
(/ (* x y) z)

series19.0ms

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

simplify857.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
050198
1119191
2474161
32155161
done5000161

prune51.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ x (/ z y))

rewrite8.0ms

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:
5.0ms
(/ x (/ z y))

series20.0ms

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

simplify523.0ms

Counts
75 → 75
Iterations

Useful iterations: done (519.0ms)

IterNodesCost
0152892
1330825
21307785
done5000783

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

rewrite15.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series841.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
367.0ms
(cbrt x)
183.0ms
(cbrt x)
120.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify570.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
01521332
14351263
21901927
done5000927

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

4.7b
(* 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 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:
7.0ms
(* x (/ y z))

series19.0ms

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

simplify1.4s

Counts
37 → 37
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
071289
1170272
2697242
32745242
done5000242

prune65.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11526
done1526

end0.0ms

sample355.0ms

Algorithm
intervals
Results
168.0ms9615×body80valid