Details

Time bar (total: 7.4s)

sample33.0ms

Algorithm
intervals
Results
12.0ms299×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ (* x y) z)

rewrite23.0ms

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:
22.0ms
(/ (* x y) z)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(/ (* x y) z)

simplify783.0ms

Counts
26 → 26
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune82.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ z (* x y)))
4.3b
(/ z (* x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
18.0ms
(/ 1 (/ z (* x y)))
13.0ms
(/ z (* x y))

series69.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (/ z (* x y)))
29.0ms
(/ z (* x y))

simplify930.0ms

Counts
87 → 87
Iterations

Useful iterations: done (927.0ms)

IterNodesCost
0122894
1295763
21418699
done5002693

prune193.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (* z (/ 1 (* x y))))
0.4b
(/ 1 (* x y))
4.3b
(* z (/ 1 (* x y)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
101×add-exp-log
43×prod-exp
36×div-exp
31×add-cbrt-cube
18×rec-exp 1-exp
12×add-sqr-sqrt
11×pow1
10×cbrt-undiv add-cube-cbrt *-un-lft-identity
9×times-frac cbrt-unprod
7×associate-*r*
6×associate-/l*
4×pow-flip
3×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/r* associate-/r/ un-div-inv inv-pow
1×*-commutative unswap-sqr
Counts
3 → 116
Calls
3 calls:
68.0ms
(/ 1 (* z (/ 1 (* x y))))
13.0ms
(/ 1 (* x y))
53.0ms
(* z (/ 1 (* x y)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (* z (/ 1 (* x y))))
18.0ms
(/ 1 (* x y))
37.0ms
(* z (/ 1 (* x y)))

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: 2 (319.0ms)

IterNodesCost
01371201
1386889
22003712
done5001712

prune232.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ z (* x y))
11.0b
(cbrt (/ z (* x y)))
11.0b
(cbrt (/ z (* x y)))
11.0b
(cbrt (/ z (* x y)))

rewrite38.0ms

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 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 77
Calls
4 calls:
14.0ms
(/ z (* x y))
10.0ms
(cbrt (/ z (* x y)))
5.0ms
(cbrt (/ z (* x y)))
5.0ms
(cbrt (/ z (* x y)))

series403.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ z (* x y))
102.0ms
(cbrt (/ z (* x y)))
133.0ms
(cbrt (/ z (* x y)))
129.0ms
(cbrt (/ z (* x y)))

simplify1.4s

Counts
89 → 89
Iterations

Useful iterations: done (1.4s)

IterNodesCost
093857
1180836
2539743
32509725
done5001713

prune371.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes267.0ms

Accuracy

68.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 6.3b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01838
12038
done2038

end0.0ms

sample843.0ms

Algorithm
intervals
Results
338.0ms9557×body80valid