Details

Time bar (total: 13.6s)

sample31.0ms

Algorithm
intervals
Results
12.0ms359×body80valid

simplify69.0ms

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: 10.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.8b
(/ (- (* 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:
9.0ms
(- (* x y) (* z t))
24.0ms
(/ (- (* x y) (* z t)) a)

series112.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x y) (* z t))
61.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: done (2.4s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune221.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.9b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite84.0ms

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:
16.0ms
(- (* x y) (* z t))
65.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series163.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(- (* x y) (* z t))
86.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune242.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 10.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
9.8b
(/ a (- (* x y) (* z t)))

rewrite47.0ms

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:
20.0ms
(/ 1 (/ a (- (* x y) (* z t))))
9.0ms
(- (* x y) (* z t))
13.0ms
(/ a (- (* x y) (* z t)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(/ 1 (/ a (- (* x y) (* z t))))
60.0ms
(- (* x y) (* z t))
54.0ms
(/ a (- (* x y) (* z t)))

simplify2.3s

Counts
142 → 142
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01972568
14322301
29832087
329792053
done50002052

prune358.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.1b

localize20.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (/ (fma x y (- (* z t))) a))
9.8b
(/ (fma x y (- (* z t))) a)
9.8b
(/ (fma x y (- (* z t))) a)
9.8b
(/ (fma x y (- (* z t))) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (/ (fma x y (- (* z t))) a))
12.0ms
(/ (fma x y (- (* z t))) a)
5.0ms
(/ (fma x y (- (* z t))) a)
6.0ms
(/ (fma x y (- (* z t))) a)

series553.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (/ (fma x y (- (* z t))) a))
99.0ms
(/ (fma x y (- (* z t))) a)
83.0ms
(/ (fma x y (- (* z t))) a)
96.0ms
(/ (fma x y (- (* z t))) a)

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01341899
12371858
25641728
318101712
done50001697

prune603.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 10.1b

regimes565.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.7s

Algorithm
intervals
Results
990.0ms11093×body80valid