Details

Time bar (total: 20.5s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
27
17
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize7.0ms

Local error

Found 1 expressions with local error:

14.6b
(/ x (fma x x 1))

rewrite4.0ms

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:
4.0ms
(/ x (fma x x 1))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ x (fma x x 1))

simplify2.6s

Counts
33 → 33
Iterations
IterNodes
54654
41479
3547
2262
1114
063

prune236.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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))
10.0ms
(* x (/ 1 (fma x x 1)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (fma x x 1))
77.0ms
(* x (/ 1 (fma x x 1)))

simplify9.4s

Counts
79 → 79
Iterations
IterNodes
44063
31742
2657
1256
0114

prune497.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

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

rewrite659.0ms

Algorithm
rewrite-expression-head
Rules
476×times-frac
282×pow1
256×*-un-lft-identity
245×add-sqr-sqrt add-cube-cbrt
223×associate-+r+
221×prod-diff
116×pow-prod-up
101×add-exp-log
66×pow-plus
56×pow-sqr
54×pow-flip
53×add-cbrt-cube div-inv
51×prod-exp
36×pow-prod-down
35×pow2
24×div-exp
23×cbrt-unprod
16×associate-/l*
12×cbrt-undiv
9×add-log-exp
8×rec-exp 1-exp pow-div
7×fma-def
6×distribute-lft-out
5×inv-pow
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out--
3×frac-add
2×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 → 477
Calls
4 calls:
10.0ms
(/ (/ 1 x) (* x x))
198.0ms
(/ 1 (* (* (* x x) (* x x)) x))
28.0ms
(* (* x x) (* x x))
400.0ms
(+ (/ 1 (* (* (* x x) (* x x)) x)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (/ 1 x) (* x x))
70.0ms
(/ 1 (* (* (* x x) (* x x)) x))
41.0ms
(* (* x x) (* x x))
56.0ms
(+ (/ 1 (* (* (* x x) (* x x)) x)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

simplify2.7s

Counts
489 → 489
Iterations
IterNodes
23623
11680
0700

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

100% (0.0b remaining)

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

bsearch124.0ms

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

simplify6.0ms

Iterations
IterNodes
225
125
019

end0.0ms

sample728.0ms

Algorithm
intervals
Results
608.0ms8000×body80valid