Details

Time bar (total: 8.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify74.0ms

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: 5.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.0b
(* 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:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
91.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
38.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01701300
13871249
29261175
324281153
done50001152

prune232.0ms

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
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
1.1b
(/ 1 (/ (- 1.0 z) t))
5.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
7.0ms
(/ (- 1.0 z) t)
51.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
9.0ms
(/ 1 (/ (- 1.0 z) t))
195.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 z) t)
35.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
31.0ms
(/ 1 (/ (- 1.0 z) t))
47.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.6s

Counts
214 → 214
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03083271
17532957
216842659
345912450
done50002448

prune406.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.1b
(* x (- (/ t (- 1.0 z))))
6.1b
(/ (* x y) z)

rewrite54.0ms

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:
6.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
34.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ (* x y) z)

series186.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
39.0ms
(/ t (- 1.0 z))
56.0ms
(* x (- (/ t (- 1.0 z))))
24.0ms
(/ (* x y) z)

simplify767.0ms

Counts
147 → 147
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
02531673
16201550
218851451
done50011448

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.1b
(* x (- (/ t (- 1.0 z))))
6.7b
(/ x (/ z y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
98×add-sqr-sqrt
96×*-un-lft-identity
76×add-cube-cbrt
46×associate-*r*
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/r*
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-inv
7×associate-/r/
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv div-exp
3×flip3-- associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ clear-num distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 185
Calls
4 calls:
24.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
36.0ms
(* x (- (/ t (- 1.0 z))))
5.0ms
(/ x (/ z y))

series179.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
38.0ms
(/ t (- 1.0 z))
61.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ x (/ z y))

simplify840.0ms

Counts
197 → 197
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
03532381
18372199
224422088
done50012085

prune521.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes142.0ms

Accuracy

8.8% (5.2b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 5.7b

bsearch88.0ms

Steps
ItersRangePoint
8
5.619312509043972e+87
1.502402743307226e+92
2.4975741639943097e+91
8
3.9991374597341625e-288
2.225681012312395e-283
1.494347693042704e-284

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02652
14639
25239
35839
done5839

end0.0ms

sample546.0ms

Algorithm
intervals
Results
295.0ms10165×body80valid