Details

Time bar (total: 8.6s)

sample34.0ms

Algorithm
intervals
Results
12.0ms310×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1883
21283
31583
41683
done1683

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize8.0ms

Local error

Found 1 expressions with local error:

4.0b
(/ (* x y) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
8.0ms
(/ (* x y) z)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (* x y) z)

simplify988.0ms

Counts
26 → 26
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
0503969
11203677
26273557
done50003437

prune152.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

4.1b
(* (* x y) (/ 1 z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*l* associate-*r/ un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
38.0ms
(* (* x y) (/ 1 z))

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (* x y) (/ 1 z))

simplify1.7s

Counts
43 → 43
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0859072
12517088
216575780
done50005378

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ z (* x y)))
3.9b
(/ z (* x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 81
Calls
2 calls:
21.0ms
(/ 1 (/ z (* x y)))
6.0ms
(/ z (* x y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (/ z (* x y)))
43.0ms
(/ z (* x y))

simplify1.6s

Counts
87 → 87
Iterations

Useful iterations: done (1.6s)

IterNodesCost
012219165
129514817
2141614657
done500014337

prune443.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ (* x y) z))
0.7b
(/ 1 (/ 1 (/ (* x y) z)))
4.0b
(/ (* x y) z)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
105×add-exp-log
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
70×div-exp
36×associate-/r*
31×add-cbrt-cube
23×div-inv
22×rec-exp 1-exp
16×cbrt-undiv
13×prod-exp
7×associate-/l*
6×pow1 associate-/r/
5×pow-flip
3×expm1-log1p-u clear-num frac-2neg cbrt-unprod log1p-expm1-u inv-pow add-log-exp
1×remove-double-div
Counts
3 → 240
Calls
3 calls:
21.0ms
(/ 1 (/ (* x y) z))
36.0ms
(/ 1 (/ 1 (/ (* x y) z)))
8.0ms
(/ (* x y) z)

series98.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (/ (* x y) z))
26.0ms
(/ 1 (/ 1 (/ (* x y) z)))
32.0ms
(/ (* x y) z)

simplify870.0ms

Counts
249 → 249
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
030777743
186141131
done500040044

prune769.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes535.0ms

Accuracy

56.7% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify22.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
018767
125556
228556
331556
done31556

end0.0ms

sample758.0ms

Algorithm
intervals
Results
338.0ms9605×body80valid