Details

Time bar (total: 17.1s)

sample26.0ms

Algorithm
intervals
Results
10.0ms352×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: 5.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(/ (- (* 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)

series99.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
56.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088706
1220679
2769628
32734628
done5000626

prune183.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite19.0ms

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:
3.0ms
(- (* x y) (* z t))
14.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series99.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.0s

Counts
64 → 64
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0114890
1300791
21091682
33967682
done5001681

prune202.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
5.4b
(/ a (- (* x y) (* z t)))

rewrite22.0ms

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:
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
3.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ 1 (/ a (- (* x y) (* z t))))
44.0ms
(- (* x y) (* z t))
46.0ms
(/ a (- (* x y) (* z t)))

simplify3.4s

Counts
142 → 142
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01972568
14602349
215522087
342042053
done50012051

prune336.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma y x (- (* z t)))
0.3b
(/ 1 (/ (fma y x (- (* z t))) a))
0.4b
(/ 1 (/ 1 (/ (fma y x (- (* z t))) a)))
5.4b
(/ (fma y x (- (* z t))) a)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
239×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
60×add-exp-log associate-/r*
43×div-exp
23×div-inv
20×add-cbrt-cube
15×rec-exp 1-exp
10×cbrt-undiv
9×associate-/l*
7×pow1
6×associate-/r/
5×pow-flip
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num inv-pow
1×fma-udef remove-double-div
Counts
4 → 338
Calls
4 calls:
0.0ms
(fma y x (- (* z t)))
5.0ms
(/ 1 (/ (fma y x (- (* z t))) a))
18.0ms
(/ 1 (/ 1 (/ (fma y x (- (* z t))) a)))
2.0ms
(/ (fma y x (- (* z t))) a)

series251.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(fma y x (- (* z t)))
78.0ms
(/ 1 (/ (fma y x (- (* z t))) a))
59.0ms
(/ 1 (/ 1 (/ (fma y x (- (* z t))) a)))
66.0ms
(/ (fma y x (- (* z t))) a)

simplify6.1s

Counts
350 → 350
Iterations

Useful iterations: done (6.1s)

IterNodesCost
04327958
19846711
227735345
done50005333

prune601.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.8b

regimes512.0ms

Accuracy

83.8% (0.6b remaining)

Error of 4.4b against oracle of 3.8b and baseline of 7.5b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02253
13043
done3043

end0.0ms

sample700.0ms

Algorithm
intervals
Results
347.0ms11185×body80valid