Details

Time bar (total: 1.6s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163
done63

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize4.0ms

Local error

Found 1 expressions with local error:

17.5b
(/ x (+ (* x x) 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
15.0ms
(/ x (+ (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ x (+ (* x x) 1.0))

simplify51.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0165210
1555195
21839192
35001192
done5001192

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

1.7b
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
22.5b
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*l*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-*r* associate-/r* associate-/r/
associate-/l*
cbrt-undiv distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 79
Calls
2 calls:
19.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
72.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series227.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
99.0ms
(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify50.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0427860
11887778
25003745
done5003745

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (pow x 5))
0.2b
(/ 1 (pow x 3))
22.0b
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×add-exp-log
19×associate-/r*
12×cube-prod div-exp
frac-sub add-log-exp sqr-pow
add-cbrt-cube
pow-to-exp rec-exp 1-exp associate-*r/ pow-exp un-div-inv associate-/l*
cube-mult unpow3 frac-add
pow1
cbrt-undiv pow-flip frac-2neg flip3-+ diff-log clear-num flip-+ div-inv inv-pow
sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 148
Calls
3 calls:
8.0ms
(/ 1 (pow x 5))
9.0ms
(/ 1 (pow x 3))
122.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (pow x 5))
37.0ms
(/ 1 (pow x 3))
44.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify76.0ms

Counts
157 → 157
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0495975
12740787
25002779
done5002779

prune194.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 24.1b

bsearch47.0ms

Steps
ItersRangePoint
3
892369.0132880388
1122163.5437744518
904431.5607004879
10
-1.8070707071506563e+17
-0.15939393977811658
-542649.7982661554

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04217
14217
done4217

end0.0ms

sample257.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid