Details

Time bar (total: 14.4s)

sample33.0ms

Algorithm
intervals
Results
15.0ms351×body80valid

simplify67.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b
(- (* x y) (* z t))
8.4b
(/ (- (* x y) (* z t)) a)

rewrite34.0ms

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:
13.0ms
(- (* x y) (* z t))
20.0ms
(/ (- (* x y) (* z t)) a)

series134.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(- (* x y) (* z t))
71.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: done (2.4s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune186.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.8b
(- (* x y) (* z t))
8.5b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite74.0ms

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×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
14.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series138.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(- (* x y) (* z t))
72.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune234.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.8b
(- (* x y) (* z t))
8.4b
(/ a (- (* x y) (* z t)))

rewrite66.0ms

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:
25.0ms
(/ 1 (/ a (- (* x y) (* z t))))
14.0ms
(- (* x y) (* z t))
20.0ms
(/ a (- (* x y) (* z t)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(/ 1 (/ a (- (* x y) (* z t))))
52.0ms
(- (* x y) (* z t))
52.0ms
(/ a (- (* x y) (* z t)))

simplify2.8s

Counts
142 → 142
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01972568
14322301
29832087
329792053
done50002052

prune400.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ (- a) (fma t z (- (* x y)))))
0.5b
(fma t z (- (* x y)))
8.4b
(/ (- a) (fma t z (- (* x y))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
141×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×add-exp-log neg-mul-1
13×associate-/l*
10×add-cbrt-cube
8×div-exp
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ fma-udef inv-pow
Counts
3 → 231
Calls
3 calls:
31.0ms
(/ 1 (/ (- a) (fma t z (- (* x y)))))
0.0ms
(fma t z (- (* x y)))
8.0ms
(/ (- a) (fma t z (- (* x y))))

series270.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ 1 (/ (- a) (fma t z (- (* x y)))))
59.0ms
(fma t z (- (* x y)))
83.0ms
(/ (- a) (fma t z (- (* x y))))

simplify2.4s

Counts
240 → 240
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03045108
16464558
212644175
333574115
done50004114

prune644.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 8.6b

regimes544.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.4s

Algorithm
intervals
Results
782.0ms11103×body80valid