Details

Time bar (total: 7.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
057
176
done76

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
12.0ms
(/ x (+ (* x x) 1.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ x (+ (* x x) 1.0))

simplify1.8s

Counts
34 → 34
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
076444
1173384
2462350
31120350
43306350
done5000350

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt sqrt-prod
4×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
2 → 30
Calls
2 calls:
1.0ms
(sqrt (fma x x 1.0))
2.0ms
(sqrt (fma x x 1.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(sqrt (fma x x 1.0))
56.0ms
(sqrt (fma x x 1.0))

simplify1.4s

Counts
36 → 36
Iterations

Useful iterations: done (1.4s)

IterNodesCost
045328
195296
2237272
3677270
42936268
done5001264

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 x) (/ 1.0 (pow x 3)))
0.1b
(/ 1.0 (pow x 5))
0.3b
(/ 1.0 (pow x 3))
19.3b
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
1770×times-frac
1242×add-sqr-sqrt
1223×*-un-lft-identity
1198×add-cube-cbrt
1040×prod-diff
522×associate-+r+
270×unpow-prod-down
249×cube-prod
112×div-inv
92×sqr-pow
82×cube-mult unpow3
25×fma-def
19×associate-/r*
15×difference-of-squares
14×add-exp-log
13×fma-neg
11×add-log-exp
8×add-cbrt-cube
6×div-exp associate-/l* distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out
3×frac-add
2×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num sum-log frac-sub flip--
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 1249
Calls
4 calls:
62.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
7.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
206.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series207.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (/ 1 x) (/ 1.0 (pow x 3)))
50.0ms
(/ 1.0 (pow x 5))
36.0ms
(/ 1.0 (pow x 3))
53.0ms
(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify2.0s

Counts
1261 → 1261
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0113749036
1223639328
2420726383
done500026381

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

100% (0.0b remaining)

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

bsearch58.0ms

Steps
ItersRangePoint
11
6.1632953816490534e-12
2923699147.8271213
982.8796450984181
7
-1.6239005782062206e+154
-7.680972122048022e+152
-1.3333004218627638e+154

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02353
13039
done3039

end0.0ms

sample238.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid