Details

Time bar (total: 27.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize45.0ms

Local error

Found 1 expressions with local error:

13.7b
(/ x (fma x x 1.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
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:
31.0ms
(/ x (fma x x 1.0))

series136.0ms

Counts
1 → 3
Calls
1 calls:
136.0ms
(/ x (fma x x 1.0))

simplify3.6s

Counts
33 → 33
Iterations
IterNodes
done5000
31450
2451
1141
069

prune325.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1.0)))
0.0b
(/ 1 (sqrt (fma x x 1.0)))
13.6b
(sqrt (fma x x 1.0))
13.6b
(sqrt (fma x x 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×*-un-lft-identity times-frac add-cube-cbrt
30×sqrt-prod
12×associate-/r*
10×add-exp-log
pow1 add-cbrt-cube
associate-/l*
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
sqrt-pow1 pow1/2 div-exp pow-flip
cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
rec-exp 1-exp inv-pow
Counts
4 → 122
Calls
4 calls:
13.0ms
(/ x (sqrt (fma x x 1.0)))
16.0ms
(/ 1 (sqrt (fma x x 1.0)))
8.0ms
(sqrt (fma x x 1.0))
8.0ms
(sqrt (fma x x 1.0))

series518.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ x (sqrt (fma x x 1.0)))
148.0ms
(/ 1 (sqrt (fma x x 1.0)))
70.0ms
(sqrt (fma x x 1.0))
80.0ms
(sqrt (fma x x 1.0))

simplify5.5s

Counts
134 → 134
Iterations
IterNodes
done5001
32983
2992
1372
0178

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1.0) x))
13.7b
(/ (fma x x 1.0) x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
30.0ms
(/ 1 (/ (fma x x 1.0) x))
11.0ms
(/ (fma x x 1.0) x)

series251.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ 1 (/ (fma x x 1.0) x))
145.0ms
(/ (fma x x 1.0) x)

simplify5.9s

Counts
115 → 115
Iterations
IterNodes
done5024
33202
21114
1400
0170

prune733.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (+ (/ 1.0 x) x))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
add-exp-log
associate-/r* distribute-lft-out
add-cbrt-cube associate-/l*
pow1 div-exp associate-/r/
expm1-log1p-u cbrt-undiv rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ insert-posit16 log1p-expm1-u div-inv pow-flip inv-pow add-log-exp
Counts
1 → 40
Calls
1 calls:
68.0ms
(/ 1 (+ (/ 1.0 x) x))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ 1 (+ (/ 1.0 x) x))

simplify8.0s

Counts
43 → 43
Iterations
IterNodes
done5000
44609
31290
2500
1172
076

prune303.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample639.0ms

Algorithm
intervals
Results
430.0ms8000×body80valid