Details

Time bar (total: 9.4s)

sample33.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize13.0ms

Local error

Found 1 expressions with local error:

15.4b
(/ 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))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(/ x (fma x x 1))

simplify973.0ms

Counts
33 → 33
Iterations
IterNodes
done2001
42001
3982
2350
1123
063

prune122.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
15.4b
(sqrt (fma x x 1))
15.4b
(sqrt (fma x x 1))

rewrite15.0ms

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:
9.0ms
(/ x (sqrt (fma x x 1)))
2.0ms
(sqrt (fma x x 1))
3.0ms
(sqrt (fma x x 1))

series247.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ x (sqrt (fma x x 1)))
70.0ms
(sqrt (fma x x 1))
81.0ms
(sqrt (fma x x 1))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done2009
42009
31748
2598
1217
0107

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ (/ 1 x) (* x x)))
0.1b
(/ (/ 1 x) (* x x))
0.2b
(/ 1 (pow x 5))
21.2b
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
985×times-frac
550×add-sqr-sqrt
519×*-un-lft-identity
488×add-cube-cbrt
442×prod-diff
223×associate-+l+
98×div-inv
35×add-exp-log
24×difference-of-squares
18×pow1 add-cbrt-cube div-exp
17×fma-def
16×associate-/l*
13×fma-neg
12×unpow-prod-down
11×add-log-exp
8×associate-/r* distribute-lft-out-- pow-div
7×cbrt-undiv
6×distribute-lft-out
5×rec-exp 1-exp pow-flip inv-pow
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u sqr-pow
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 flip3-+ associate-+l- flip-+ associate-/l/
Counts
4 → 646
Calls
4 calls:
42.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
18.0ms
(/ (/ 1 x) (* x x))
11.0ms
(/ 1 (pow x 5))
163.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (/ 1 x) (/ (/ 1 x) (* x x)))
58.0ms
(/ (/ 1 x) (* x x))
60.0ms
(/ 1 (pow x 5))
57.0ms
(+ (- (/ 1 x) (/ (/ 1 x) (* x x))) (/ 1 (pow x 5)))

simplify1.7s

Counts
658 → 658
Iterations
IterNodes
done2002
22002
11246
0541

prune3.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch103.0ms

Steps
ItersRangePoint
10
3.4946005567744297e-15
48819.349325626084
450.35164288801093
9
-6838974.188497498
-0.005838610583870787
-31939.41578853163

simplify7.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample660.0ms

Algorithm
intervals
Results
547.0ms8000×body80valid