Details

Time bar (total: 14.2s)

sample26.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.3b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

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 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series114.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x y) (* z t))
66.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088706
1220679
2769628
32734628
done5000626

prune187.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
7.3b
(/ a (- (* x y) (* z t)))

rewrite23.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
10.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (* x y) (* z t))
100.0ms
(/ 1 (/ a (- (* x y) (* z t))))
52.0ms
(/ a (- (* x y) (* z t)))

simplify3.7s

Counts
142 → 142
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01972568
14602349
215532087
342082053
done50002051

prune348.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.8b
(/ 1 (- (* x y) (* z t)))
6.6b
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/r*
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff associate-/l/ inv-pow
Counts
3 → 308
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
6.0ms
(/ 1 (- (* x y) (* z t)))
17.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

series192.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (* x y) (* z t))
38.0ms
(/ 1 (- (* x y) (* z t)))
101.0ms
(/ (/ 1 a) (/ 1 (- (* x y) (* z t))))

simplify4.4s

Counts
317 → 317
Iterations

Useful iterations: 2 (802.0ms)

IterNodesCost
04708395
114007218
240186065
done50006065

prune415.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.9b

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b
(cbrt (/ (- (* x y) (* z t)) a))
7.3b
(/ (- (* x y) (* z t)) a)
7.3b
(/ (- (* x y) (* z t)) a)
7.3b
(/ (- (* x y) (* z t)) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/l/
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (/ (- (* x y) (* z t)) a))
7.0ms
(/ (- (* x y) (* z t)) a)
7.0ms
(/ (- (* x y) (* z t)) a)
7.0ms
(/ (- (* x y) (* z t)) a)

series373.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (/ (- (* x y) (* z t)) a))
55.0ms
(/ (- (* x y) (* z t)) a)
52.0ms
(/ (- (* x y) (* z t)) a)
57.0ms
(/ (- (* x y) (* z t)) a)

simplify1.2s

Counts
132 → 132
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01422031
13001963
29241833
331761823
done50001820

prune500.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.9b

regimes494.0ms

Accuracy

63.4% (1.5b remaining)

Error of 5.2b against oracle of 3.7b and baseline of 7.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02355
13045
done3045

end0.0ms

sample664.0ms

Algorithm
intervals
Results
327.0ms11186×body80valid