Details

Time bar (total: 1.6m)

sample48.0ms

Algorithm
intervals
Results
22.0ms304×body80valid

simplify15.5s

Counts
1 → 1
Iterations

Useful iterations: done (15.5s)

IterNodesCost
089
1329
23037
done50005

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize5.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* x y) z)

rewrite12.0ms

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

series46.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) z)

simplify12.1s

Counts
26 → 26
Iterations

Useful iterations: done (12.1s)

IterNodesCost
050198
1516191
done5001161

prune80.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:
43.0ms
(* (* x y) (/ 1 z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (* x y) (/ 1 z))

simplify33.9s

Counts
43 → 43
Iterations

Useful iterations: done (33.9s)

IterNodesCost
085427
11745306
done5000250

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ z (* x y)))
4.4b
(/ z (* x y))

rewrite58.0ms

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:
32.0ms
(/ 1 (/ z (* x y)))
19.0ms
(/ z (* x y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1 (/ z (* x y)))
48.0ms
(/ z (* x y))

simplify15.5s

Counts
87 → 87
Iterations

Useful iterations: done (15.5s)

IterNodesCost
0122894
11497759
done5000689

prune168.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
1.3b
(* (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
3.5b
(* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
34×pow1 add-exp-log
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
18×cbrt-div
17×associate-*r*
13×associate-*r/
6×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*l* *-commutative
Counts
4 → 124
Calls
4 calls:
3.0ms
(cbrt (/ 1 z))
3.0ms
(cbrt (/ 1 z))
193.0ms
(* (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
57.0ms
(* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt (/ 1 z))
234.0ms
(cbrt (/ 1 z))
86.0ms
(* (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (cbrt (/ 1 z)))
155.0ms
(* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z))))

simplify13.2s

Counts
136 → 136
Iterations

Useful iterations: done (13.2s)

IterNodesCost
01562036
124071700
done50001257

prune330.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

87.4% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.7b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02455
12855
done2855

end0.0ms

sample1.4s

Algorithm
intervals
Results
473.0ms9596×body80valid