Details

Time bar (total: 10.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms300×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

localize8.0ms

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:
4.0ms
(/ (* x y) z)

series25.0ms

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

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
050198
1113191
2385161
31798161
done5000161

prune74.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b
(/ x (/ z y))

rewrite9.0ms

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:
6.0ms
(/ x (/ z y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ x (/ z y))

simplify1.8s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0152892
1327825
2966785
33656783
done5000783

prune220.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))))

rewrite16.0ms

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)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series820.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt x)
222.0ms
(cbrt x)
215.0ms
(cbrt x)
166.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify692.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
01521332
14281263
21739927
done5000927

prune372.0ms

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))

rewrite9.0ms

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:
8.0ms
(* x (/ y z))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (/ y z))

simplify3.3s

Counts
37 → 37
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
071289
1168272
2447242
31359242
43688242
done5001242

prune83.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11526
done1526

end0.0ms

sample391.0ms

Algorithm
intervals
Results
191.0ms9615×body80valid