Details

Time bar (total: 6.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms305×body80valid

simplify76.0ms

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

localize8.0ms

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))))

rewrite125.0ms

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:
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
90.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
38.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify907.0ms

Counts
98 → 98
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
01701300
13871249
29261175
324281153
done50011152

prune230.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite55.0ms

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)))))
35.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ (* x y) z)

series183.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
68.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
62.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(/ (* x y) z)

simplify638.0ms

Counts
147 → 147
Iterations

Useful iterations: done (635.0ms)

IterNodesCost
02531673
16201549
218851451
done50001448

prune377.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite69.0ms

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:
18.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
10.0ms
(/ 1 (/ z (* x y)))
32.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(/ z (* x y))

series159.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
21.0ms
(/ 1 (/ z (* x y)))
61.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ z (* x y))

simplify671.0ms

Counts
166 → 166
Iterations

Useful iterations: done (666.0ms)

IterNodesCost
02741955
16801716
220231514
done50011511

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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:
5.0ms
(/ t (- 1.0 z))
26.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
32.0ms
(* x (- (/ t (- 1.0 z))))
5.0ms
(/ x (/ z y))

series179.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ t (- 1.0 z))
60.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
60.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ x (/ z y))

simplify768.0ms

Counts
197 → 197
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
03532381
18372198
224392088
done50002085

prune517.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

14.7% (4.8b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 5.7b

bsearch78.0ms

Steps
ItersRangePoint
7
-1.0870716669243392e-247
-3.8939625330993975e-249
-5.070134308885268e-249
7
-1.824445118486574e+33
-5.031883036144082e+31
-8.672273972931149e+32

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03156
15056
25656
36256
done6256

end0.0ms

sample570.0ms

Algorithm
intervals
Results
315.0ms10083×body80valid