Details

Time bar (total: 19.6s)

sample34.0ms

Algorithm
intervals
Results
14.0ms269×body80valid

simplify933.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12317
23717
36517
410217
513817
616417
723317
851517
9141417
done500017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.3b
(+ (* x y) (* z (- t a)))
22.2b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
13.0ms
(+ y (* z (- b y)))
32.0ms
(* z (- b y))
14.0ms
(+ (* x y) (* z (- t a)))
55.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ y (* z (- b y)))
49.0ms
(* z (- b y))
62.0ms
(+ (* x y) (* z (- t a)))
406.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify879.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
01461497
13751447
214641327
done50001327

prune545.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(+ (* x y) (* z (- t a)))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
22.1b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
34.0ms
(* z (- b y))
19.0ms
(+ (* x y) (* z (- t a)))
29.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
61.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* z (- b y))
63.0ms
(+ (* x y) (* z (- t a)))
991.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
378.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.0s

Counts
168 → 168
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02444169
16513899
232823681
done50003548

prune898.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(+ (* z (- t a)) (* x y))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
22.1b
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv distribute-rgt-in sub-neg associate-+l+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
43.0ms
(* z (- b y))
27.0ms
(+ (* z (- t a)) (* x y))
349.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
64.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

series1.6s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* z (- b y))
58.0ms
(+ (* z (- t a)) (* x y))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
407.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

simplify2.2s

Counts
168 → 168
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02464173
16593911
233423658
done50013560

prune898.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.2b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x y) (* z (- t a)))
0.7b
(/ 1 (+ (* x y) (* z (- t a))))
0.8b
(/ 1 (+ y (* z (- b y))))
21.2b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×frac-2neg clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
19.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(/ 1 (+ (* x y) (* z (- t a))))
11.0ms
(/ 1 (+ y (* z (- b y))))
36.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (* x y) (* z (- t a)))
89.0ms
(/ 1 (+ (* x y) (* z (- t a))))
115.0ms
(/ 1 (+ y (* z (- b y))))
1.2s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.3s

Counts
380 → 380
Iterations

Useful iterations: done (1.3s)

IterNodesCost
053914390
1189612761
done500112034

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.2b

regimes902.0ms

Accuracy

0% (0.6b remaining)

Error of 23.3b against oracle of 22.7b and baseline of 23.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
11917
done1917

end0.0ms

sample1.5s

Algorithm
intervals
Results
699.0ms8413×body80valid