Details

Time bar (total: 11.4s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
26
16
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize17.0ms

Local error

Found 1 expressions with local error:

14.6b
(/ x (+ (* x x) 1))

rewrite24.0ms

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:
23.0ms
(/ x (+ (* x x) 1))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ x (+ (* x x) 1))

simplify1.2s

Counts
33 → 33
Iterations
IterNodes
42810
3858
2333
1147
069

prune210.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (+ (* x x) 1))
14.5b
(* x (/ 1 (+ (* x x) 1)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×associate-*r* add-exp-log
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
13.0ms
(/ 1 (+ (* x x) 1))
48.0ms
(* x (/ 1 (+ (* x x) 1)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (+ (* x x) 1))
54.0ms
(* x (/ 1 (+ (* x x) 1)))

simplify5.9s

Counts
79 → 79
Iterations
IterNodes
33420
2966
1306
0119

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(/ (/ 1 x) (* x x))
0.1b
(/ 1 (* (* (* x x) x) (* x x)))
22.8b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
160×pow1
104×add-exp-log
77×pow-prod-up
52×prod-exp
50×add-cbrt-cube
47×pow-flip
41×pow-plus
34×times-frac
32×*-un-lft-identity
26×div-exp
22×add-sqr-sqrt
21×pow2 pow-sqr add-cube-cbrt
20×cbrt-unprod
18×pow-prod-down
16×associate-/l*
13×cbrt-undiv
9×rec-exp 1-exp div-inv add-log-exp
8×pow-div
6×distribute-lft-out
5×pow3 inv-pow
4×insert-posit16 distribute-lft-out--
3×associate-*r* frac-add
2×associate-+l+ clear-num associate-/r* sum-log frac-2neg
1×+-commutative sub-neg flip3-+ flip3-- diff-log associate-*l* *-commutative frac-sub associate-+l- flip-+ flip-- unswap-sqr associate-/l/
Counts
4 → 203
Calls
4 calls:
17.0ms
(* (* x x) x)
11.0ms
(/ (/ 1 x) (* x x))
154.0ms
(/ 1 (* (* (* x x) x) (* x x)))
148.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* x x) x)
60.0ms
(/ (/ 1 x) (* x x))
73.0ms
(/ 1 (* (* (* x x) x) (* x x)))
38.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

simplify1.1s

Counts
215 → 215
Iterations
IterNodes
22116
1705
0269

prune742.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.4b

bsearch92.0ms

Steps
ItersRangePoint
10
0.002603609100038161
6235082944194588.0
517.3933217180979
8
-2578083524935.865
-710549284.1101115
-243329265348.2015

simplify7.0ms

Iterations
IterNodes
227
127
019

end0.0ms

sample709.0ms

Algorithm
intervals
Results
576.0ms8000×body80valid