Details

Time bar (total: 10.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite16.0ms

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:
15.0ms
(/ (* x y) z)

series34.0ms

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

simplify650.0ms

Counts
26 → 26
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune70.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (/ z (* x y)))
6.1b
(/ z (* x y))

rewrite36.0ms

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:
21.0ms
(/ 1 (/ z (* x y)))
11.0ms
(/ z (* x y))

series66.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (/ z (* x y)))
35.0ms
(/ z (* x y))

simplify701.0ms

Counts
87 → 87
Iterations

Useful iterations: done (697.0ms)

IterNodesCost
0122894
1295763
21418699
done5002693

prune165.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (/ (/ z x) y))
4.2b
(/ (/ z x) y)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×associate-/r*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube associate-/l*
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 274
Calls
2 calls:
29.0ms
(/ 1 (/ (/ z x) y))
18.0ms
(/ (/ z x) y)

series63.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (/ (/ z x) y))
30.0ms
(/ (/ z x) y)

simplify858.0ms

Counts
280 → 280
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
04264467
112383798
done50003598

prune488.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ y (/ z x)))
0.8b
(/ 1 (/ 1 (/ y (/ z x))))
4.4b
(/ y (/ z x))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
2202×times-frac
968×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
194×associate-/r*
105×add-exp-log
83×div-exp
75×div-inv
31×add-cbrt-cube
23×associate-/r/
22×rec-exp 1-exp
19×cbrt-undiv
9×associate-/l*
6×pow1
5×pow-flip
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u inv-pow add-log-exp
1×remove-double-div
Counts
3 → 881
Calls
3 calls:
19.0ms
(/ 1 (/ y (/ z x)))
53.0ms
(/ 1 (/ 1 (/ y (/ z x))))
9.0ms
(/ y (/ z x))

series90.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ 1 (/ y (/ z x)))
24.0ms
(/ 1 (/ 1 (/ y (/ z x))))
37.0ms
(/ y (/ z x))

simplify4.6s

Counts
890 → 890
Iterations

Useful iterations: done (4.6s)

IterNodesCost
0122918420
1366711128
done500010790

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes245.0ms

Accuracy

93.4% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02655
13055
done3055

end0.0ms

sample683.0ms

Algorithm
intervals
Results
269.0ms9589×body80valid