Details

Time bar (total: 6.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune1.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
12.0ms
(/ x (+ (* x x) 1.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ x (+ (* x x) 1.0))

simplify1.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
074428
1167413
2438373
31017373
42805373
done5000373

prune57.0ms

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt sqrt-prod
4×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
2×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
2 → 30
Calls
2 calls:
9.0ms
(sqrt (+ (* x x) 1.0))
9.0ms
(sqrt (+ (* x x) 1.0))

series86.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(sqrt (+ (* x x) 1.0))
45.0ms
(sqrt (+ (* x x) 1.0))

simplify2.3s

Counts
36 → 36
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
058428
1133372
2343344
31076344
44818338
done5000338

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
94×times-frac
54×*-un-lft-identity
46×add-cube-cbrt
33×unpow-prod-down
20×difference-of-squares
19×associate-/r*
17×sqr-pow
16×cube-prod
13×add-exp-log
7×add-cbrt-cube
6×div-exp associate-/l*
5×distribute-lft-out-- add-log-exp
4×cube-mult unpow3 div-inv
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 148
Calls
3 calls:
7.0ms
(/ 1.0 (pow x 5))
8.0ms
(/ 1.0 (pow x 3))
72.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1.0 (pow x 5))
37.0ms
(/ 1.0 (pow x 3))
131.0ms
(- (/ 1.0 (pow x 5)) (/ 1.0 (pow x 3)))

simplify652.0ms

Counts
157 → 157
Iterations

Useful iterations: done (647.0ms)

IterNodesCost
02222185
14251927
211051875
done50001873

prune320.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

100% (0.0b remaining)

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

bsearch53.0ms

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
02455
13241
done3241

end0.0ms

sample251.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid