Details

Time bar (total: 11.0s)

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize9.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ x (fma 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*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
9.0ms
(/ x (fma x x 1))

series94.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ x (fma x x 1))

simplify2.3s

Counts
33 → 33
Iterations
IterNodes
done5002
43912
3982
2350
1123
063

prune129.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* x (* x x)))
0.1b
(* x (* x x))
17.6b
(+ (- x (* x (* x x))) (pow x 5))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
10×*-un-lft-identity add-log-exp
9×add-sqr-sqrt
8×add-cbrt-cube add-exp-log add-cube-cbrt
6×prod-diff
5×associate-+l+ pow-prod-up
3×expm1-log1p-u fma-def fma-neg associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×sum-log sub-neg diff-log
1×pow2 +-commutative flip3-+ pow-plus flip3-- cube-unmult associate-*r* pow-sqr *-commutative associate-+l- flip-+ flip-- distribute-lft-out unswap-sqr
Counts
3 → 73
Calls
3 calls:
7.0ms
(- x (* x (* x x)))
17.0ms
(* x (* x x))
29.0ms
(+ (- x (* x (* x x))) (pow x 5))

series252.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(- x (* x (* x x)))
61.0ms
(* x (* x x))
67.0ms
(+ (- x (* x (* x x))) (pow x 5))

simplify3.7s

Counts
82 → 82
Iterations
IterNodes
done5000
34575
2878
1238
097

prune282.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 x) (/ (/ 1 x) x))
0.1b
(/ (/ 1 x) x)
0.2b
(/ 1 (pow x 5))
21.4b
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
156×add-sqr-sqrt
123×*-un-lft-identity
112×add-cube-cbrt
87×add-exp-log
46×div-exp
43×associate-*r*
32×add-cbrt-cube
20×prod-exp
17×pow1 div-inv
16×associate-/l*
15×associate-+l+ unswap-sqr
13×cbrt-undiv rec-exp 1-exp associate-*l* prod-diff
12×unpow-prod-down
10×associate-/r*
9×add-log-exp
7×frac-add
6×cbrt-unprod pow-flip inv-pow pow-div
4×expm1-log1p-u pow-prod-up insert-posit16 log1p-expm1-u sqr-pow
3×pow-to-exp fma-def associate-*l/ pow-exp associate-*r/ frac-sub
2×frac-times clear-num sum-log frac-2neg distribute-lft-out sub-div
1×+-commutative sub-neg flip3-+ flip3-- diff-log cube-unmult pow-prod-down *-commutative associate-+l- flip-+ flip-- associate-/l/
Counts
4 → 293
Calls
4 calls:
57.0ms
(* (/ 1 x) (/ (/ 1 x) x))
13.0ms
(/ (/ 1 x) x)
11.0ms
(/ 1 (pow x 5))
114.0ms
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ 1 x) (/ (/ 1 x) x))
19.0ms
(/ (/ 1 x) x)
88.0ms
(/ 1 (pow x 5))
59.0ms
(+ (- (/ 1 x) (* (/ 1 x) (/ (/ 1 x) x))) (/ 1 (pow x 5)))

simplify2.1s

Counts
305 → 305
Iterations
IterNodes
done5000
22722
11189
0397

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

100% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 31.5b

bsearch89.0ms

Steps
ItersRangePoint
10
1.508099977930646e-06
2590629949647.022
1.020834055947729
10
-26711381.42537418
-6.803810524357175e-07
-1.0026376323582022

simplify7.0ms

Iterations
IterNodes
done29
129
020

end0.0ms

sample387.0ms

Algorithm
intervals
Results
293.0ms8000×body80valid