Details

Time bar (total: 17.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
done76

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

15.0b
(/ x (+ (* x x) 1.0))

rewrite12.0ms

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*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ x (+ (* x x) 1.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ x (+ (* x x) 1.0))

simplify727.0ms

Counts
34 → 34
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
076444
1189385
2808354
done5000352

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

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)))
15.0b
(sqrt (fma x x 1.0))
15.0b
(sqrt (fma x x 1.0))

rewrite22.0ms

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
8×pow1 add-cbrt-cube
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×sqrt-pow1 pow1/2 div-exp pow-flip
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 118
Calls
4 calls:
5.0ms
(/ x (sqrt (fma x x 1.0)))
10.0ms
(/ 1 (sqrt (fma x x 1.0)))
2.0ms
(sqrt (fma x x 1.0))
2.0ms
(sqrt (fma x x 1.0))

series457.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(/ x (sqrt (fma x x 1.0)))
140.0ms
(/ 1 (sqrt (fma x x 1.0)))
59.0ms
(sqrt (fma x x 1.0))
64.0ms
(sqrt (fma x x 1.0))

simplify869.0ms

Counts
130 → 130
Iterations

Useful iterations: done (864.0ms)

IterNodesCost
01751609
13721399
215881328
done50011320

prune575.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
0.1b
(/ 1.0 (pow x 3))
0.3b
(/ 1.0 (pow x 5))
20.1b
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

rewrite838.0ms

Algorithm
rewrite-expression-head
Rules
3607×times-frac
2350×add-sqr-sqrt
2310×*-un-lft-identity
2288×add-cube-cbrt
2000×prod-diff
1212×unpow-prod-down
1002×associate-+r+
466×cube-prod
410×sqr-pow
154×cube-mult unpow3
138×div-inv
25×fma-neg
20×difference-of-squares
19×associate-/r*
14×add-exp-log
13×fma-def
11×add-log-exp
8×add-cbrt-cube distribute-lft-out--
6×div-exp associate-/l*
5×distribute-lft-out
4×expm1-log1p-u pow1 log1p-expm1-u
3×frac-add
2×pow-to-exp cbrt-undiv clear-num sum-log sub-neg frac-2neg flip3-- diff-log pow-exp frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 2217
Calls
4 calls:
401.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
15.0ms
(/ 1.0 (pow x 3))
14.0ms
(/ 1.0 (pow x 5))
161.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (/ 1 x) (- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3))))
48.0ms
(/ 1.0 (pow x 3))
79.0ms
(/ 1.0 (pow x 5))
156.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify3.5s

Counts
2229 → 2229
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0193499537
1409083092
done500177848

prune9.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.5b

bsearch38.0ms

Steps
ItersRangePoint
7
13.800596953327334
2205.5689030668646
507.01009039307485
2
-3.2275392569223236e+62
-2.967245708633018e+62
-3.1950025633861604e+62

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02145
12831
done2831

end0.0ms

sample548.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid