Details

Time bar (total: 9.3s)

sample26.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify11.0ms

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 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ (* x y) z)

series26.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* x y) z)

simplify673.0ms

Counts
24 → 24
Iterations

Useful iterations: done (672.0ms)

IterNodesCost
048186
1119179
2627155
done5000149

prune43.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
15.0ms
(/ 1 (/ z (* x y)))
8.0ms
(/ z (* x y))

series50.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (/ z (* x y)))
23.0ms
(/ z (* x y))

simplify649.0ms

Counts
83 → 83
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
0118866
1295735
21522671
done5002665

prune122.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 270
Calls
2 calls:
20.0ms
(/ 1 (/ (/ z x) y))
11.0ms
(/ (/ z x) y)

series62.0ms

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

simplify840.0ms

Counts
276 → 276
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
04224439
112423770
done50003574

prune546.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))

rewrite252.0ms

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×frac-2neg clear-num inv-pow add-log-exp
1×remove-double-div
Counts
3 → 875
Calls
3 calls:
37.0ms
(/ 1 (/ y (/ z x)))
90.0ms
(/ 1 (/ 1 (/ y (/ z x))))
9.0ms
(/ y (/ z x))

series69.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ 1 (/ y (/ z x)))
28.0ms
(/ 1 (/ 1 (/ y (/ z x))))
21.0ms
(/ y (/ z x))

simplify3.5s

Counts
884 → 884
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0122318372
1366411104
done500110996

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes198.0ms

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

sample990.0ms

Algorithm
intervals
Results
581.0ms9589×body80valid