Details

Time bar (total: 10.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms292×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* 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 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ (* x y) z)

series18.0ms

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

simplify764.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
048186
1117179
2470149
32157149
done5001149

prune43.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (* x y) (/ 1 z))

rewrite12.0ms

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×associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
10.0ms
(* (* x y) (/ 1 z))

series25.0ms

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

simplify3.5s

Counts
41 → 41
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
083411
1248324
21039238
34022238
done5001238

prune55.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ z (* x y)))
4.6b
(/ z (* x y))

rewrite12.0ms

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×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
6.0ms
(/ 1 (/ z (* x y)))
3.0ms
(/ z (* x y))

series42.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ 1 (/ z (* x y)))
22.0ms
(/ z (* x y))

simplify3.8s

Counts
83 → 83
Iterations

Useful iterations: 3 (951.0ms)

IterNodesCost
0118866
1279763
21127607
34756589
done5000589

prune87.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1 x) y)
0.3b
(/ 1 (* z (/ (/ 1 x) y)))
4.5b
(* z (/ (/ 1 x) y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
149×times-frac
95×add-sqr-sqrt
84×*-un-lft-identity
83×add-cube-cbrt
81×add-exp-log
43×associate-*r*
42×div-exp
31×add-cbrt-cube
20×prod-exp
16×associate-/l*
13×cbrt-undiv
11×rec-exp 1-exp
10×div-inv
8×pow1
6×cbrt-unprod
4×associate-/r* unswap-sqr
3×associate-*l* add-log-exp
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num
1×associate-/r/ *-commutative associate-/l/ inv-pow
Counts
3 → 183
Calls
3 calls:
6.0ms
(/ (/ 1 x) y)
15.0ms
(/ 1 (* z (/ (/ 1 x) y)))
19.0ms
(* z (/ (/ 1 x) y))

series56.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ (/ 1 x) y)
21.0ms
(/ 1 (* z (/ (/ 1 x) y)))
23.0ms
(* z (/ (/ 1 x) y))

simplify1.5s

Counts
192 → 192
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02572217
16701811
224171483
done50011475

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

92% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02353
12853
done2853

end0.0ms

sample358.0ms

Algorithm
intervals
Results
170.0ms9579×body80valid