Details

Time bar (total: 14.9s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
26
16
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize16.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (+ (* x x) 1))

rewrite22.0ms

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:
21.0ms
(/ x (+ (* x x) 1))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ x (+ (* x x) 1))

simplify1.2s

Counts
33 → 33
Iterations
IterNodes
42810
3858
2333
1147
069

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) 1)
0.1b
(* (* x x) (* x x))
1.2b
(/ x (+ -1 (* (* x x) (* x x))))
18.8b
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
27×add-sqr-sqrt
24×pow-prod-down
23×add-cbrt-cube add-exp-log
22×*-un-lft-identity pow-sqr
20×add-cube-cbrt
19×times-frac
18×pow-plus
16×associate-*l*
13×pow2
10×prod-exp cbrt-unprod
7×associate-*r*
6×add-log-exp
4×associate-/r/ insert-posit16 difference-of-squares
3×associate-/r* sub-neg flip3-- flip-- associate-/l* unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv distribute-lft-in flip3-+ difference-of-sqr-1 div-exp associate-*r/ *-commutative flip-+ div-inv
1×clear-num frac-2neg diff-log swap-sqr associate-*l/
Counts
4 → 156
Calls
4 calls:
7.0ms
(- (* x x) 1)
24.0ms
(* (* x x) (* x x))
7.0ms
(/ x (+ -1 (* (* x x) (* x x))))
39.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

series322.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* x x) 1)
49.0ms
(* (* x x) (* x x))
144.0ms
(/ x (+ -1 (* (* x x) (* x x))))
88.0ms
(* (/ x (+ -1 (* (* x x) (* x x)))) (- (* x x) 1))

simplify5.8s

Counts
168 → 168
Iterations
IterNodes
37177
21647
1551
0198

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (+ (* x x) 1))

rewrite11.0ms

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:
11.0ms
(/ x (+ (* x x) 1))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ x (+ (* x x) 1))

simplify1.3s

Counts
33 → 33
Iterations
IterNodes
42810
3858
2333
1147
069

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (* x x))
0.1b
(* (* x x) x)
0.1b
(/ 1 (* (* (* x x) x) (* x x)))
19.0b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

rewrite347.0ms

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:
19.0ms
(/ (/ 1 x) (* x x))
15.0ms
(* (* x x) x)
118.0ms
(/ 1 (* (* (* x x) x) (* x x)))
187.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ (/ 1 x) (* x x))
67.0ms
(* (* x x) x)
86.0ms
(/ 1 (* (* (* x x) x) (* x x)))
66.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

simplify1.2s

Counts
215 → 215
Iterations
IterNodes
22065
1708
0269

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch123.0ms

Steps
ItersRangePoint
10
186.95626557948964
3373396396890550.5
8137.871959944802
9
-265991755648.13324
-24078.920296370652
-484064.81338059285

simplify4.0ms

Iterations
IterNodes
230
130
022

end0.0ms

sample638.0ms

Algorithm
intervals
Results
506.0ms8000×body80valid