Details

Time bar (total: 14.6s)

sample39.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
315
215
114
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(/ x (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Counts
3 → 103
Calls
3 calls:
47.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
25.0ms
(/ x (+ x 1))
18.0ms
(/ 1 (- x 1))

series147.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
40.0ms
(/ x (+ x 1))
15.0ms
(/ 1 (- x 1))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
32936
21088
1368
0170

prune862.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
244×*-un-lft-identity
214×add-sqr-sqrt
211×times-frac
101×add-cube-cbrt
65×swap-sqr
58×add-exp-log
45×associate-*r* associate-*l*
36×difference-of-squares
30×add-cbrt-cube
26×pow1 distribute-lft-out--
24×distribute-lft-out
21×div-exp
20×prod-exp
18×difference-of-sqr-1 associate-/r/
13×unswap-sqr
12×div-inv
9×cbrt-undiv
8×rec-exp 1-exp cbrt-unprod pow-flip inv-pow
6×pow-prod-up add-log-exp
5×flip3-+ flip3-- flip-+ flip--
4×associate-/r* pow-prod-down pow-sqr insert-posit16
3×associate-/l*
2×pow2 frac-times pow-plus associate-*l/ associate-*r/ *-commutative
1×clear-num sub-neg frac-2neg diff-log un-div-inv frac-sub
Counts
4 → 299
Calls
4 calls:
8.0ms
(/ x (+ x 1))
43.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
79.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
33.0ms
(* (/ 1 (- x 1)) (/ 1 (- x 1)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x 1))
29.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
60.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms
(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify1.2s

Counts
311 → 311
Iterations
IterNodes
23101
11201
0372

prune2.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- x 1))
0.0b
(* (/ x (+ 1 x)) (/ x (+ 1 x)))
0.0b
(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
17.3b
(cbrt (* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
98×times-frac
91×add-sqr-sqrt
61×add-exp-log
60×add-cube-cbrt
59×add-cbrt-cube
36×associate-*l*
26×pow1
24×swap-sqr
22×prod-exp cbrt-unprod
21×distribute-lft-out
19×div-exp associate-*r*
18×cbrt-undiv
12×associate-/r/
11×frac-times associate-*r/
8×difference-of-squares
7×cbrt-div associate-/r* associate-*l/
6×pow-prod-up div-inv unswap-sqr
5×flip3-+ flip-+
4×difference-of-sqr-1 pow-prod-down insert-posit16 distribute-lft-out-- add-log-exp
3×associate-/l*
2×pow2 pow-plus cube-unmult pow-sqr *-commutative
1×cbrt-prod rec-exp clear-num frac-2neg flip3-- pow1/3 1-exp rem-cbrt-cube pow-flip flip-- inv-pow
Counts
4 → 221
Calls
4 calls:
8.0ms
(/ 1 (- x 1))
28.0ms
(* (/ x (+ 1 x)) (/ x (+ 1 x)))
46.0ms
(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
47.0ms
(cbrt (* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1 (- x 1))
37.0ms
(* (/ x (+ 1 x)) (/ x (+ 1 x)))
57.0ms
(* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x))))
53.0ms
(cbrt (* (/ x (+ 1 x)) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))

simplify1.1s

Counts
233 → 233
Iterations
IterNodes
22429
1856
0299

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b
(- (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(* (- x 1) (- x 1))
0.6b
(/ 1 (* (- x 1) (- x 1)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
97×add-sqr-sqrt
82×times-frac
46×add-cube-cbrt
35×swap-sqr
29×add-exp-log
26×pow1
25×associate-*r* associate-*l*
23×add-cbrt-cube
20×distribute-lft-out
16×associate-/r/ difference-of-squares
14×distribute-lft-out--
13×flip3-- flip--
9×frac-times
8×div-exp prod-exp
6×cbrt-undiv difference-of-sqr-1 cbrt-unprod div-inv pow-flip add-log-exp
5×associate-*l/ associate-*r/ unswap-sqr
4×flip3-+ flip-+ insert-posit16
3×pow2 sub-neg pow-plus pow-prod-down pow-sqr pow-prod-up associate-/l*
2×distribute-rgt-in rec-exp distribute-lft-in 1-exp *-commutative
1×clear-num associate-/r* frac-2neg diff-log frac-sub inv-pow
Counts
4 → 210
Calls
4 calls:
44.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
74.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
46.0ms
(* (- x 1) (- x 1))
28.0ms
(/ 1 (* (- x 1) (- x 1)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
50.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
15.0ms
(* (- x 1) (- x 1))
23.0ms
(/ 1 (* (- x 1) (- x 1)))

simplify943.0ms

Counts
222 → 222
Iterations
IterNodes
22845
1888
0291

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
215
115
010

end0.0ms

sample946.0ms

Algorithm
intervals
Results
820.0ms8000×body80valid