Details

Time bar (total: 10.2s)

sample28.0ms

Algorithm
intervals
Results
9.0ms355×body80valid

simplify66.0ms

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: 9.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite32.0ms

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:
9.0ms
(- (* x y) (* z t))
21.0ms
(/ (- (* x y) (* z t)) a)

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
62.0ms
(/ (- (* x y) (* z t)) a)

simplify1.9s

Counts
54 → 54
Iterations

Useful iterations: done (1.9s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune177.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
9.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite51.0ms

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:
9.0ms
(- (* x y) (* z t))
40.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series109.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* x y) (* z t))
59.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune189.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
9.3b
(/ a (- (* x y) (* z t)))

rewrite55.0ms

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:
10.0ms
(- (* x y) (* z t))
22.0ms
(/ 1 (/ a (- (* x y) (* z t))))
14.0ms
(/ a (- (* x y) (* z t)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x y) (* z t))
97.0ms
(/ 1 (/ a (- (* x y) (* z t))))
49.0ms
(/ a (- (* x y) (* z t)))

simplify1.7s

Counts
142 → 142
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01972568
14322301
29832087
329842053
done50002052

prune340.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
9.3b
(/ (- (* x y) (* z t)) a)

rewrite36.0ms

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:
10.0ms
(- (* x y) (* z t))
25.0ms
(/ (- (* x y) (* z t)) a)

series110.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x y) (* z t))
59.0ms
(/ (- (* x y) (* z t)) a)

simplify1.9s

Counts
54 → 54
Iterations

Useful iterations: done (1.9s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune124.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.4b

regimes397.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample773.0ms

Algorithm
intervals
Results
305.0ms11042×body80valid