Details

Time bar (total: 18.7s)

sample34.0ms

Algorithm
intervals
Results
15.0ms327×body80valid

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
811911
912211
done12211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
66.0ms
(- (/ y z) (/ t (- 1.0 z)))
13.0ms
(/ t (- 1.0 z))
244.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (/ y z) (/ t (- 1.0 z)))
44.0ms
(/ t (- 1.0 z))
74.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.0s

Counts
936 → 936
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0100949986
1165444871
2350733786
done500033785

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
1.6b
(* x (- (/ t (- 1.0 z))))
4.3b
(/ (* x y) z)

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 150
Calls
4 calls:
12.0ms
(/ t (- 1.0 z))
32.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
123.0ms
(* x (- (/ t (- 1.0 z))))
28.0ms
(/ (* x y) z)

series271.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ t (- 1.0 z))
89.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
89.0ms
(* x (- (/ t (- 1.0 z))))
35.0ms
(/ (* x y) z)

simplify1.6s

Counts
162 → 162
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02611745
16291609
219361513
done50011478

prune605.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
1.6b
(* x (- (/ t (- 1.0 z))))
3.4b
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
53×*-un-lft-identity
46×associate-*r*
45×times-frac
33×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out-- difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/
5×pow1 associate-/r*
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
1×cbrt-undiv neg-mul-1 frac-2neg associate-*r/ div-exp pow-prod-down prod-exp clear-num *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef distribute-neg-frac unswap-sqr
Counts
3 → 114
Calls
3 calls:
13.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ t (- 1.0 z))))
1.0ms
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

series234.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ t (- 1.0 z))
76.0ms
(* x (- (/ t (- 1.0 z))))
115.0ms
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

simplify2.7s

Counts
123 → 123
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02101420
14801333
212971227
343211178
done50001177

prune604.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* x y) z)
8.2b
(cbrt (- (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ t (- 1.0 z))))
8.2b
(cbrt (- (/ t (- 1.0 z))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
138×cbrt-prod
99×add-sqr-sqrt *-un-lft-identity
93×times-frac
63×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in
18×distribute-lft-out-- difference-of-squares
12×associate-/r/
9×add-exp-log add-cbrt-cube
7×div-inv
6×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×neg-mul-1 cbrt-div pow1/3 associate-/r* distribute-neg-frac
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 194
Calls
4 calls:
11.0ms
(/ (* x y) z)
17.0ms
(cbrt (- (/ t (- 1.0 z))))
26.0ms
(cbrt (- (/ t (- 1.0 z))))
38.0ms
(cbrt (- (/ t (- 1.0 z))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* x y) z)
229.0ms
(cbrt (- (/ t (- 1.0 z))))
238.0ms
(cbrt (- (/ t (- 1.0 z))))
198.0ms
(cbrt (- (/ t (- 1.0 z))))

simplify2.5s

Counts
206 → 206
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02593255
14763088
211172990
337512855
done50002795

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

7.4% (4.6b remaining)

Error of 4.7b against oracle of 0.0b and baseline of 5.0b

bsearch159.0ms

Steps
ItersRangePoint
5
2.5641409962956535e+74
7.695196016608073e+74
3.284223438702236e+74
8
4.6144630716923495e-178
8.457218564184325e-175
2.841522777850616e-176
8
-3.140542152251357e-199
-2.868908314949201e-203
-5.007773027212033e-202
1
-1.736185745049513e-111
-1.6261027315487358e-111
-1.699374283935707e-111

simplify26.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
039111
151111
255111
356111
done56111

end0.0ms

sample1.6s

Algorithm
intervals
Results
993.0ms10165×body80valid