Details

Time bar (total: 15.4s)

sample37.0ms

Algorithm
intervals
Results
11.0ms58×body1280valid
7.0ms49×body640valid
5.0ms121×body80valid
2.0ms19×body320valid
1.0ms9×body160valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5000
124085
111745
10535
9183
879
758
639
527
421
319
216
112
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(/ (+ x 1.0) (- x 1.0))
2.8b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
52×times-frac
45×add-sqr-sqrt
23×add-cube-cbrt
18×distribute-lft-out distribute-lft-out--
9×associate-/r* difference-of-squares
7×add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×associate-/r/
3×pow1
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- associate-/l/
1×sub-neg diff-log frac-sub
Counts
3 → 104
Calls
3 calls:
8.0ms
(/ x (+ x 1.0))
29.0ms
(/ (+ x 1.0) (- x 1.0))
119.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series309.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ x (+ x 1.0))
73.0ms
(/ (+ x 1.0) (- x 1.0))
197.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done5002
21794
1408
0176

prune490.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(/ (/ 1.0 x) x)
0.4b
(/ 3.0 (* (* x x) x))
6.8b
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
59×*-un-lft-identity
52×add-sqr-sqrt
49×add-cube-cbrt
23×pow1 add-cbrt-cube add-exp-log
16×associate-/l*
14×add-log-exp
6×cbrt-undiv pow-plus div-exp prod-exp pow-prod-up cbrt-unprod div-inv
4×associate-/r* diff-log distribute-lft-out--
3×associate-*r* pow-prod-down frac-sub distribute-neg-frac
2×pow2 clear-num sum-log distribute-rgt-neg-in frac-2neg neg-log pow-sqr distribute-lft-out
1×associate--l- neg-sub0 sub-neg flip3-+ flip3-- associate-*l* pow3 frac-add *-commutative flip-+ flip-- associate--r+ difference-of-squares unswap-sqr associate-/l/
Counts
4 → 146
Calls
4 calls:
27.0ms
(* (* x x) x)
17.0ms
(/ (/ 1.0 x) x)
21.0ms
(/ 3.0 (* (* x x) x))
207.0ms
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

series206.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* x x) x)
29.0ms
(/ (/ 1.0 x) x)
73.0ms
(/ 3.0 (* (* x x) x))
59.0ms
(- (- (/ 3.0 (* (* x x) x))) (+ (/ 3.0 x) (/ (/ 1.0 x) x)))

simplify2.7s

Counts
158 → 158
Iterations
IterNodes
done5000
24815
1741
0267

prune597.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.0b
(/ (+ x 1.0) (- x 1.0))
0.1b
(* x (/ 1 (+ x 1.0)))
6.6b
(- (* x (/ 1 (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
50×add-sqr-sqrt
46×times-frac
33×add-cube-cbrt
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube distribute-lft-out
9×associate-/r*
7×pow1 associate-/l*
6×associate-/r/ add-log-exp
5×div-exp distribute-lft-out-- difference-of-squares
4×prod-exp
3×cbrt-undiv flip3-+ associate-*l* flip-+ div-inv unswap-sqr
2×rec-exp clear-num frac-2neg flip3-- 1-exp associate-*r/ un-div-inv frac-sub cbrt-unprod flip-- associate-/l/
1×sub-neg diff-log pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 137
Calls
4 calls:
18.0ms
(/ 1 (+ x 1.0))
22.0ms
(/ (+ x 1.0) (- x 1.0))
36.0ms
(* x (/ 1 (+ x 1.0)))
29.0ms
(- (* x (/ 1 (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ 1 (+ x 1.0))
74.0ms
(/ (+ x 1.0) (- x 1.0))
41.0ms
(* x (/ 1 (+ x 1.0)))
198.0ms
(- (* x (/ 1 (+ x 1.0))) (/ (+ x 1.0) (- x 1.0)))

simplify1.9s

Counts
149 → 149
Iterations
IterNodes
done5000
22572
1529
0210

prune451.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) (- x 1.0))
0.1b
(* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0))
6.6b
(- (/ x (+ x 1.0)) (* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0)))
15.5b
(/ (+ x 1.0) (* (+ x 1.0) (- x 1.0)))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
20×add-cbrt-cube associate-*l* add-exp-log
17×add-sqr-sqrt
16×frac-times associate-/r/
14×flip3-+ flip-+
11×add-cube-cbrt
10×flip3-- associate-*r/ flip--
9×associate-*r*
8×pow1 times-frac associate-*l/
6×prod-exp cbrt-unprod add-log-exp
5×frac-sub distribute-lft-out
4×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp associate-/l*
3×sub-neg
2×pow-prod-down *-commutative div-inv associate--r+ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg diff-log distribute-lft-out-- difference-of-squares
Counts
4 → 128
Calls
4 calls:
26.0ms
(* (+ x 1.0) (- x 1.0))
93.0ms
(* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0))
64.0ms
(- (/ x (+ x 1.0)) (* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0)))
41.0ms
(/ (+ x 1.0) (* (+ x 1.0) (- x 1.0)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (+ x 1.0) (- x 1.0))
68.0ms
(* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0))
185.0ms
(- (/ x (+ x 1.0)) (* (/ (+ x 1.0) (* (+ x 1.0) (- x 1.0))) (+ x 1.0)))
31.0ms
(/ (+ x 1.0) (* (+ x 1.0) (- x 1.0)))

simplify743.0ms

Counts
140 → 140
Iterations
IterNodes
done5001
1744
0213

prune587.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.6b

bsearch124.0ms

Steps
ItersRangePoint
11
1126.7541422477805
6.910090022658404e+24
10331.681705079987
9
-291337.82152789796
-0.7274215675205146
-14393.035986655723

simplify5.0ms

Iterations
IterNodes
done36
136
025

end0.0ms

sample1.1s

Algorithm
intervals
Results
310.0ms1665×body1280valid
290.0ms4187×body80valid
268.0ms1219×body640valid
89.0ms611×body320valid
23.0ms318×body160valid