Details

Time bar (total: 9.2s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
19
05

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize7.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1))

rewrite5.0ms

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:
5.0ms
(/ x (fma x x 1))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ x (fma x x 1))

simplify882.0ms

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

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
14.0b
(sqrt (fma x x 1))
14.0b
(sqrt (fma x x 1))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
10.0ms
(/ x (sqrt (fma x x 1)))
19.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
2.0ms
(sqrt (fma x x 1))
2.0ms
(sqrt (fma x x 1))

series296.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ x (sqrt (fma x x 1)))
78.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
43.0ms
(sqrt (fma x x 1))
64.0ms
(sqrt (fma x x 1))

simplify1.3s

Counts
264 → 264
Iterations
IterNodes
done2019
32019
21511
1660
0289

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1))

rewrite5.0ms

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))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ x (fma x x 1))

simplify1.0s

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

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
17.2b
(+ (- x (* x (* x x))) (pow x 5))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×*-un-lft-identity add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
5×associate-+l+ pow-prod-up add-cube-cbrt
3×fma-def associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sum-log insert-posit16 log1p-expm1-u
1×pow2 +-commutative sub-neg flip3-+ pow-plus diff-log cube-unmult associate-*r* pow-sqr *-commutative associate-+l- flip-+ distribute-lft-out unswap-sqr
Counts
2 → 52
Calls
2 calls:
28.0ms
(* x (* x x))
46.0ms
(+ (- x (* x (* x x))) (pow x 5))

series130.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (* x x))
86.0ms
(+ (- x (* x (* x x))) (pow x 5))

simplify1.0s

Counts
58 → 58
Iterations
IterNodes
done2001
32001
2577
1178
076

prune529.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch100.0ms

Steps
ItersRangePoint
10
186.95626557948964
3373396396890550.5
8137.871959944802
6
-4073810451523.4326
-265991755648.13324
-957088378446.058

simplify7.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample735.0ms

Algorithm
intervals
Results
613.0ms8000×body80valid