Details

Time bar (total: 11.9s)

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize13.0ms

Local error

Found 1 expressions with local error:

18.3b
(/ x (fma x x 1))

rewrite9.0ms

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:
8.0ms
(/ x (fma x x 1))

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ x (fma x x 1))

simplify2.8s

Counts
33 → 33
Iterations
IterNodes
54471
41506
3553
2260
1116
063

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (fma x x 1))
17.5b
(* x (/ 1 (fma x x 1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u 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:
4.0ms
(/ 1 (fma x x 1))
9.0ms
(* x (/ 1 (fma x x 1)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1 (fma x x 1))
88.0ms
(* x (/ 1 (fma x x 1)))

simplify1.0s

Counts
79 → 79
Iterations
IterNodes
42102
31120
2577
1249
0114

prune568.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(/ (/ 1 x) (* x x))
0.4b
(/ 1 (* (* (* x x) x) (* x x)))
16.8b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
496×times-frac
277×add-sqr-sqrt
266×*-un-lft-identity
245×add-cube-cbrt
223×associate-+l+
221×prod-diff
160×pow1
104×add-exp-log
77×pow-prod-up
53×div-inv
52×prod-exp
50×add-cbrt-cube
47×pow-flip
41×pow-plus
26×div-exp
21×pow2 pow-sqr
20×cbrt-unprod
18×pow-prod-down
17×fma-def
16×associate-/l*
13×cbrt-undiv
12×difference-of-squares
9×rec-exp 1-exp add-log-exp
8×pow-div
6×distribute-lft-out distribute-lft-out--
5×pow3 inv-pow
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*r* frac-add
2×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 → 449
Calls
4 calls:
14.0ms
(* (* x x) x)
11.0ms
(/ (/ 1 x) (* x x))
111.0ms
(/ 1 (* (* (* x x) x) (* x x)))
164.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* x x) x)
57.0ms
(/ (/ 1 x) (* x x))
54.0ms
(/ 1 (* (* (* x x) x) (* x x)))
58.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (* (* (* x x) x) (* x x))))

simplify1.1s

Counts
461 → 461
Iterations
IterNodes
22600
1917
0339

prune4.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch82.0ms

Steps
ItersRangePoint
9
0.08974485042074802
9369.000823706243
415.7689475654002
11
-2.637695780548612e+29
-15521.296822102611
-8.90036294001547e+25

simplify4.0ms

Iterations
IterNodes
228
128
019

end0.0ms

sample543.0ms

Algorithm
intervals
Results
450.0ms8000×body80valid