Details

Time bar (total: 14.4s)

sample51.0ms

Algorithm
intervals
Results
20.0ms354×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
13.0ms
(- (* x y) (* z t))
27.0ms
(/ (- (* x y) (* z t)) a)

series125.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* x y) (* z t))
58.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
48 → 48
Iterations

Useful iterations: 3 (706.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune207.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series125.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* x y) (* z t))
70.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.6s

Counts
58 → 58
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0106832
1292771
21861644
done5000638

prune249.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.6b
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
5.9b
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×cbrt-prod
18×add-exp-log
11×add-cbrt-cube
10×associate-/l*
9×div-inv
7×cbrt-undiv div-exp associate-/r*
4×pow1 add-log-exp
3×div-sub associate-/l/
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod
1×flip3-- flip--
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
46.0ms
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
26.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt a)
270.0ms
(cbrt a)
166.0ms
(/ (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (cbrt a))
330.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

simplify1.9s

Counts
131 → 131
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01882625
15352542
231242053
done50002025

prune559.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
9.2b
(/ a (- (* x y) (* z t)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
48.0ms
(/ 1 (/ a (- (* x y) (* z t))))
8.0ms
(- (* x y) (* z t))
13.0ms
(/ a (- (* x y) (* z t)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(/ 1 (/ a (- (* x y) (* z t))))
56.0ms
(- (* x y) (* z t))
65.0ms
(/ a (- (* x y) (* z t)))

simplify1.9s

Counts
134 → 134
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01872490
14882241
224722086
done50001998

prune383.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.7b

regimes717.0ms

Accuracy

36.7% (1.0b remaining)

Error of 7.1b against oracle of 6.1b and baseline of 7.7b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02037
12337
done2337

end0.0ms

sample1.7s

Algorithm
intervals
Results
579.0ms11088×body80valid