Details

Time bar (total: 7.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms305×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
33811
45611
57211
68511
79911
810511
910711
done10711

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
25.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
93.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify492.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
01701300
13921249
213471175
done50011175

prune224.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
3.1b
(* x (- (/ t (- 1.0 z))))
5.9b
(/ (* x y) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×*-un-lft-identity
48×times-frac
46×associate-*r*
36×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*
6×pow1 associate-/r/ add-log-exp
4×div-inv 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 → 135
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
6.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
36.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ (* x y) z)

series175.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ t (- 1.0 z))
64.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
59.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(/ (* x y) z)

simplify876.0ms

Counts
147 → 147
Iterations

Useful iterations: done (873.0ms)

IterNodesCost
02531673
16311550
227561451
done50011448

prune362.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
0.3b
(/ 1 (/ z (* x y)))
3.1b
(* x (- (/ t (- 1.0 z))))
5.7b
(/ z (* x y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
56×add-sqr-sqrt
54×*-un-lft-identity
46×associate-*r*
42×add-cube-cbrt
32×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
14×div-exp
8×associate-/r* div-inv
7×pow1 cbrt-undiv
6×associate-/l* distribute-lft-out-- add-log-exp difference-of-squares
5×prod-exp associate-/r/
3×rec-exp 1-exp associate-*l* distribute-rgt-neg-out cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num flip-- distribute-neg-frac
1×+-commutative neg-mul-1 pow-flip flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ inv-pow unswap-sqr
Counts
4 → 154
Calls
4 calls:
19.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
6.0ms
(/ 1 (/ z (* x y)))
34.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ z (* x y))

series152.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
21.0ms
(/ 1 (/ z (* x y)))
59.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(/ z (* x y))

simplify1.3s

Counts
166 → 166
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02741955
16921745
232921514
done50001511

prune342.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
3.1b
(* x (- (/ t (- 1.0 z))))
5.9b
(* (* x y) (/ 1 z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
54×times-frac
41×add-cube-cbrt
30×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
13×prod-exp
11×pow1
10×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-/r/ add-log-exp
5×associate-*r/ div-exp associate-/r*
4×associate-*l* pow-prod-down div-inv
3×cbrt-undiv flip3-- distribute-rgt-neg-out flip-- distribute-neg-frac associate-/l*
2×rec-exp 1-exp frac-add un-div-inv *-commutative
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg clear-num sum-log flip-+ unswap-sqr
Counts
4 → 153
Calls
4 calls:
7.0ms
(/ t (- 1.0 z))
9.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
33.0ms
(* x (- (/ t (- 1.0 z))))
11.0ms
(* (* x y) (/ 1 z))

series176.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ t (- 1.0 z))
62.0ms
(+ (* (* x y) (/ 1 z)) (* x (- (/ t (- 1.0 z)))))
59.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(* (* x y) (/ 1 z))

simplify1.4s

Counts
165 → 165
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02891955
17721714
233661545
done50001531

prune370.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

14.4% (4.5b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 5.3b

bsearch54.0ms

Steps
ItersRangePoint
10
3.289808832709504e+80
2.0786368363108274e+91
9.182547946381984e+88

simplify5.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02334
13632
24532
34732
done4732

end0.0ms

sample541.0ms

Algorithm
intervals
Results
293.0ms10083×body80valid