Details

Time bar (total: 19.1s)

sample36.0ms

Algorithm
intervals
Results
13.0ms313×body80valid

simplify21.0ms

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: 6.1b

localize22.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ (* 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:
21.0ms
(/ (* x y) z)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ (* x y) z)

simplify4.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
050198
1112191
2390161
31765161
done5000161

prune108.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* x y) (/ 1 z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
33.0ms
(* (* x y) (/ 1 z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* x y) (/ 1 z))

simplify3.9s

Counts
43 → 43
Iterations

Useful iterations: 2 (223.0ms)

IterNodesCost
085427
1220318
2710250
32518250
done5001250

prune77.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ z (* x y)))
5.9b
(/ z (* x y))

rewrite33.0ms

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:
20.0ms
(/ 1 (/ z (* x y)))
10.0ms
(/ z (* x y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (/ z (* x y)))
41.0ms
(/ z (* x y))

simplify3.1s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0122894
1261763
2661631
33116613
done5001613

prune156.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* x y))
0.6b
(/ 1 (* z (/ 1 (* x y))))
6.1b
(* 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:
16.0ms
(/ 1 (* x y))
69.0ms
(/ 1 (* z (/ 1 (* x y))))
49.0ms
(* z (/ 1 (* x y)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ 1 (* x y))
39.0ms
(/ 1 (* z (/ 1 (* x y))))
39.0ms
(* z (/ 1 (* x y)))

simplify5.2s

Counts
125 → 125
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
01371201
1301883
2818690
34313690
done5002690

prune291.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes254.0ms

Accuracy

79.5% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 6.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02561
13057
done3057

end0.0ms

sample1.3s

Algorithm
intervals
Results
350.0ms9595×body80valid