Details

Time bar (total: 11.0s)

sample35.0ms

Algorithm
intervals
Results
13.0ms357×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5859
6899
done899

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
4.9b
(/ (- (* x y) (* z t)) a)

rewrite53.0ms

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

series115.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x y) (* z t))
69.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
088706
1224679
2790630
34076628
done5000628

prune178.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
5.0b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite76.0ms

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:
15.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series145.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x y) (* z t))
83.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify1.4s

Counts
64 → 64
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
0114890
1297775
21538682
done5001682

prune249.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
4.9b
(/ 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:
9.0ms
(- (* x y) (* z t))
25.0ms
(/ 1 (/ a (- (* x y) (* z t))))
15.0ms
(/ a (- (* x y) (* z t)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x y) (* z t))
105.0ms
(/ 1 (/ a (- (* x y) (* z t))))
49.0ms
(/ a (- (* x y) (* z t)))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01972568
15002301
224892186
done50022053

prune497.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x y) (* z t))
0.4b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
0.4b
(/ 1 (- (* x y) (* z t)))
4.7b
(* a (/ 1 (- (* x y) (* z t))))

rewrite207.0ms

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:
21.0ms
(- (* x y) (* z t))
62.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
32.0ms
(/ 1 (- (* x y) (* z t)))
83.0ms
(* a (/ 1 (- (* x y) (* z t))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* x y) (* z t))
118.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
50.0ms
(/ 1 (- (* x y) (* z t)))
78.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify1.2s

Counts
145 → 145
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01641992
14511703
220091450
done50001448

prune375.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.9b

regimes446.0ms

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

sample1.5s

Algorithm
intervals
Results
630.0ms11079×body80valid