Details

Time bar (total: 23.2s)

sample28.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
27
17
05

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize13.0ms

Local error

Found 1 expressions with local error:

16.6b
(/ 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))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ x (fma x x 1))

simplify2.4s

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

prune204.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
16.6b
(sqrt (fma x x 1))
16.6b
(sqrt (fma x x 1))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×associate-/r*
5×pow1 add-cbrt-cube add-exp-log
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
5.0ms
(/ x (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series226.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(/ x (sqrt (fma x x 1)))
48.0ms
(sqrt (fma x x 1))
65.0ms
(sqrt (fma x x 1))

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
42972
31177
2461
1204
0107

prune684.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (sqrt (fma x x 1)))
0.1b
(* x (/ 1 (sqrt (fma x x 1))))
16.6b
(sqrt (fma x x 1))
16.6b
(sqrt (fma x x 1))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
37×*-un-lft-identity
35×add-cube-cbrt
29×sqrt-prod
22×associate-*r*
17×add-exp-log
11×add-cbrt-cube
10×pow1
6×associate-/r*
5×unswap-sqr
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 associate-*l* pow-flip associate-/l*
2×cbrt-undiv rem-sqrt-square rec-exp 1-exp cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Counts
4 → 130
Calls
4 calls:
11.0ms
(/ 1 (sqrt (fma x x 1)))
24.0ms
(* x (/ 1 (sqrt (fma x x 1))))
2.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series310.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ 1 (sqrt (fma x x 1)))
101.0ms
(* x (/ 1 (sqrt (fma x x 1))))
66.0ms
(sqrt (fma x x 1))
75.0ms
(sqrt (fma x x 1))

simplify4.0s

Counts
142 → 142
Iterations
IterNodes
32372
2962
1372
0159

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ (/ 1 x) (* x x))
0.3b
(/ 1 (pow x 5))
19.2b
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
983×times-frac
532×add-sqr-sqrt
522×*-un-lft-identity
501×add-cube-cbrt
442×prod-diff
223×associate-+r+
98×div-inv
35×add-exp-log
25×fma-def
21×unpow-prod-down
18×pow1 add-cbrt-cube div-exp
16×associate-/l*
13×fma-neg
12×difference-of-squares
11×add-log-exp
8×associate-/r* pow-div
7×cbrt-undiv sqr-pow
6×distribute-lft-out distribute-lft-out--
5×rec-exp 1-exp pow-flip inv-pow
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u
3×pow-to-exp frac-add pow-exp
2×pow2 clear-num sum-log sub-neg frac-2neg pow-plus flip3-- diff-log pow-sqr pow-prod-up frac-sub cbrt-unprod flip--
1×+-commutative associate-+r- flip3-+ flip-+ associate-/l/
Counts
4 → 654
Calls
4 calls:
29.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
11.0ms
(/ (/ 1 x) (* x x))
6.0ms
(/ 1 (pow x 5))
90.0ms
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
40.0ms
(/ (/ 1 x) (* x x))
77.0ms
(/ 1 (pow x 5))
61.0ms
(+ (/ 1 (pow x 5)) (- (/ 1 x) (/ (/ 1 x) (* x x))))

simplify3.4s

Counts
666 → 666
Iterations
IterNodes
23462
11593
0715

prune7.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

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

bsearch105.0ms

Steps
ItersRangePoint
10
1.4996160052323843e-06
45385424.466692075
393.77334187402573
10
-9.857583095580377e+159
-1.0895875309198726e+143
-1.3765989384353292e+154

simplify4.0ms

Iterations
IterNodes
226
126
021

end0.0ms

sample688.0ms

Algorithm
intervals
Results
578.0ms8000×body80valid