Details

Time bar (total: 10.8s)

sample28.0ms

Algorithm
intervals
Results
9.0ms367×body80valid

simplify62.0ms

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: 8.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.0b
(/ (- (* x y) (* z t)) a)

rewrite30.0ms

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:
11.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
60.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: done (1.8s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune166.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.1b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite46.0ms

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:
8.0ms
(- (* x y) (* z t))
33.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series107.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x y) (* z t))
60.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (119.0ms)

IterNodesCost
0114890
1285773
2848682
33323682
done5001682

prune172.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 8.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
8.0b
(/ a (- (* x y) (* z t)))

rewrite48.0ms

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:
8.0ms
(- (* x y) (* z t))
23.0ms
(/ 1 (/ a (- (* x y) (* z t))))
12.0ms
(/ a (- (* x y) (* z t)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (* x y) (* z t))
94.0ms
(/ 1 (/ a (- (* x y) (* z t))))
48.0ms
(/ a (- (* x y) (* z t)))

simplify1.6s

Counts
142 → 142
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01972568
14322301
29832087
329842053
done50002052

prune292.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* x y) (* z t))
0.4b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.8b
(/ 1 (- (* x y) (* z t)))
7.2b
(* a (/ 1 (- (* x y) (* z t))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg fma-neg diff-log prod-diff *-commutative
Counts
4 → 133
Calls
4 calls:
8.0ms
(- (* x y) (* z t))
29.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
17.0ms
(/ 1 (- (* x y) (* z t)))
34.0ms
(* a (/ 1 (- (* x y) (* z t))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* x y) (* z t))
93.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
39.0ms
(/ 1 (- (* x y) (* z t)))
52.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify2.3s

Counts
145 → 145
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01641992
13851687
29081440
326061436
done50011430

prune281.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 8.1b

regimes398.0ms

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.0b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample746.0ms

Algorithm
intervals
Results
288.0ms11141×body80valid