Details

Time bar (total: 15.2s)

sample47.0ms

Algorithm
intervals
Results
18.0ms357×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.7b
(/ (- (* x y) (* z t)) a)

rewrite56.0ms

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:
15.0ms
(- (* x y) (* z t))
38.0ms
(/ (- (* x y) (* z t)) a)

series125.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x y) (* z t))
74.0ms
(/ (- (* x y) (* z t)) a)

simplify2.5s

Counts
54 → 54
Iterations

Useful iterations: done (2.5s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune223.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.7b
(/ (- (* x y) (* z t)) a)

rewrite43.0ms

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:
8.0ms
(- (* x y) (* z t))
33.0ms
(/ (- (* x y) (* z t)) a)

series144.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (* x y) (* z t))
89.0ms
(/ (- (* x y) (* z t)) a)

simplify2.9s

Counts
54 → 54
Iterations

Useful iterations: done (2.9s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune266.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite85.0ms

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:
17.0ms
(- (* x y) (* z t))
64.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series153.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* x y) (* z t))
95.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.6s

Counts
64 → 64
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune252.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.5b
(/ 1 (/ a (- (* x y) (* z t))))
8.6b
(/ a (- (* x y) (* z t)))

rewrite74.0ms

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:
18.0ms
(- (* x y) (* z t))
25.0ms
(/ 1 (/ a (- (* x y) (* z t))))
20.0ms
(/ a (- (* x y) (* z t)))

series245.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (* x y) (* z t))
114.0ms
(/ 1 (/ a (- (* x y) (* z t))))
70.0ms
(/ a (- (* x y) (* z t)))

simplify2.4s

Counts
142 → 142
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01972568
14322301
29832087
329842053
done50002052

prune499.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

regimes760.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.4b and baseline of 7.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01111
1169
done169

end0.0ms

sample1.7s

Algorithm
intervals
Results
704.0ms11234×body80valid