Details

Time bar (total: 16.2s)

sample35.0ms

Algorithm
intervals
Results
17.0ms270×body80valid

simplify989.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
19.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite111.0ms

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:
11.0ms
(+ y (* z (- b y)))
37.0ms
(* z (- t a))
12.0ms
(+ (* x y) (* z (- t a)))
47.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ y (* z (- b y)))
53.0ms
(* z (- t a))
63.0ms
(+ (* x y) (* z (- t a)))
466.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify932.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (220.0ms)

IterNodesCost
01481497
13811447
214651327
done50001327

prune307.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 19.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
1.0b
(/ 1 (+ y (* z (- b y))))
19.7b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
29.0ms
(* z (- t a))
11.0ms
(+ (* x y) (* z (- t a)))
14.0ms
(/ 1 (+ y (* z (- b y))))
63.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series635.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* z (- t a))
54.0ms
(+ (* x y) (* z (- t a)))
104.0ms
(/ 1 (+ y (* z (- b y))))
423.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify2.4s

Counts
128 → 128
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01742024
14831883
228351662
done50001656

prune726.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(+ (* x y) (* z (- t a)))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.9b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite132.0ms

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:
29.0ms
(* z (- t a))
9.0ms
(+ (* x y) (* z (- t a)))
36.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
48.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* z (- t a))
61.0ms
(+ (* x y) (* z (- t a)))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
396.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.0s

Counts
168 → 168
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02414169
16423889
239833642
done50003638

prune444.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 19.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x y) (* z (- t a)))
0.7b
(/ 1 (+ (* x y) (* z (- t a))))
1.0b
(/ 1 (+ y (* z (- b y))))
19.0b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite129.0ms

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:
12.0ms
(+ (* x y) (* z (- t a)))
13.0ms
(/ 1 (+ (* x y) (* z (- t a))))
13.0ms
(/ 1 (+ y (* z (- b y))))
68.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (* x y) (* z (- t a)))
83.0ms
(/ 1 (+ (* x y) (* z (- t a))))
112.0ms
(/ 1 (+ y (* z (- b y))))
1.1s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.1s

Counts
380 → 380
Iterations

Useful iterations: done (1.1s)

IterNodesCost
053914390
1189612761
done500112034

prune680.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 19.9b

regimes446.0ms

Accuracy

0% (0.7b remaining)

Error of 22.6b against oracle of 21.9b and baseline of 22.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
12419
done2419

end0.0ms

sample1.4s

Algorithm
intervals
Results
662.0ms8410×body80valid