Details

Time bar (total: 14.3s)

sample45.0ms

Algorithm
intervals
Results
18.0ms337×body80valid

simplify106.0ms

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: 10.2b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
9.6b
(/ (- (* x y) (* z t)) a)

rewrite45.0ms

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))
35.0ms
(/ (- (* x y) (* z t)) a)

series112.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* x y) (* z t))
63.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
54 → 54
Iterations

Useful iterations: done (2.1s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune188.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* t z)))
9.6b
(/ (+ (fma x y (- (* t z))) 0) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log add-cbrt-cube distribute-lft-out associate-/l*
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
0.0ms
(fma x y (- (* t z)))
38.0ms
(/ (+ (fma x y (- (* t z))) 0) a)

series162.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(fma x y (- (* t z)))
87.0ms
(/ (+ (fma x y (- (* t z))) 0) a)

simplify2.2s

Counts
51 → 51
Iterations

Useful iterations: done (2.2s)

IterNodesCost
080760
1150641
2367589
31356589
done5000588

prune169.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
9.7b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite68.0ms

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:
13.0ms
(- (* x y) (* z t))
53.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series136.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x y) (* z t))
89.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.6s

Counts
64 → 64
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune707.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
9.7b
(/ a (- (* x y) (* z t)))

rewrite98.0ms

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:
15.0ms
(- (* x y) (* z t))
43.0ms
(/ 1 (/ a (- (* x y) (* z t))))
34.0ms
(/ a (- (* x y) (* z t)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (* x y) (* z t))
158.0ms
(/ 1 (/ a (- (* x y) (* z t))))
58.0ms
(/ a (- (* x y) (* z t)))

simplify2.5s

Counts
142 → 142
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01972568
14322301
29832087
329842053
done50002052

prune366.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.8b

regimes578.0ms

Accuracy

0% (0.3b remaining)

Error of 8.0b against oracle of 7.7b and baseline of 8.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
1169
done169

end0.0ms

sample1.6s

Algorithm
intervals
Results
681.0ms11072×body80valid