Details

Time bar (total: 10.1s)

sample26.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
26
16
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize11.0ms

Local error

Found 1 expressions with local error:

16.2b
(/ x (+ (* x x) 1))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
10.0ms
(/ x (+ (* x x) 1))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ x (+ (* x x) 1))

simplify1.2s

Counts
33 → 33
Iterations
IterNodes
42810
3858
2333
1147
069

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (* x x))
3.4b
(/ x (+ -1 (* (* x x) (* x x))))
22.3b
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
116×pow1
36×pow-prod-up
25×add-sqr-sqrt
24×pow-prod-down
22×add-cbrt-cube add-exp-log pow-sqr
20×*-un-lft-identity
19×times-frac add-cube-cbrt
18×pow-plus
16×associate-*l*
13×pow2
10×prod-exp cbrt-unprod
7×associate-*r*
4×associate-/r/
3×associate-/r* insert-posit16 associate-/l* add-log-exp unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp associate-*r/ *-commutative flip-+ div-inv flip-- difference-of-squares
1×clear-num frac-2neg difference-of-sqr-1 swap-sqr associate-*l/
Counts
3 → 140
Calls
3 calls:
48.0ms
(* (* x x) (* x x))
13.0ms
(/ x (+ -1 (* (* x x) (* x x))))
70.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

series293.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (* x x) (* x x))
139.0ms
(/ x (+ -1 (* (* x x) (* x x))))
106.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

simplify4.7s

Counts
149 → 149
Iterations
IterNodes
36123
21470
1492
0189

prune322.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (* x x))
0.1b
(/ 1 (* (* (* x x) (* x x)) x))
0.1b
(* (* x x) (* x x))
19.3b
(+ (/ 1 (* (* (* x x) (* x x)) x)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

rewrite549.0ms

Algorithm
rewrite-expression-head
Rules
282×pow1
116×pow-prod-up
101×add-exp-log
66×pow-plus
56×pow-sqr
54×pow-flip
53×add-cbrt-cube
51×prod-exp
36×pow-prod-down
35×pow2
34×times-frac
31×*-un-lft-identity
24×div-exp
23×cbrt-unprod
20×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
12×cbrt-undiv
9×div-inv add-log-exp
8×rec-exp 1-exp pow-div
6×distribute-lft-out
5×inv-pow
4×insert-posit16 distribute-lft-out--
3×frac-add
2×associate-+r+ clear-num associate-/r* sum-log frac-2neg
1×+-commutative associate-+r- sub-neg flip3-+ flip3-- diff-log swap-sqr associate-*r* associate-*l* *-commutative frac-sub flip-+ flip-- unswap-sqr associate-/l/
Counts
4 → 241
Calls
4 calls:
10.0ms
(/ (/ 1 x) (* x x))
187.0ms
(/ 1 (* (* (* x x) (* x x)) x))
27.0ms
(* (* x x) (* x x))
321.0ms
(+ (/ 1 (* (* (* x x) (* x x)) x)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

series211.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (/ 1 x) (* x x))
61.0ms
(/ 1 (* (* (* x x) (* x x)) x))
42.0ms
(* (* x x) (* x x))
62.0ms
(+ (/ 1 (* (* (* x x) (* x x)) x)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

simplify1.3s

Counts
253 → 253
Iterations
IterNodes
22461
1782
0276

prune463.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.2b

bsearch89.0ms

Steps
ItersRangePoint
8
4364471.442644652
31288399957.8659
13951219.631737411
8
-5.202561556038387e+21
-2.563255540849828e+17
-1.8453524061497666e+21

simplify4.0ms

Iterations
IterNodes
224
124
018

end0.0ms

sample588.0ms

Algorithm
intervals
Results
488.0ms8000×body80valid