Details

Time bar (total: 2.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize5.0ms

Local error

Found 1 expressions with local error:

16.7b
(/ x (+ (* x x) 1.0))

rewrite22.0ms

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:
21.0ms
(/ x (+ (* x x) 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ x (+ (* x x) 1.0))

simplify52.0ms

Counts
32 → 32

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
1.0b
(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
14.2b
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
26.5b
(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
38×*-un-lft-identity
36×pow-prod-up
31×times-frac
29×add-sqr-sqrt
24×add-cube-cbrt pow-prod-down
23×add-exp-log add-cbrt-cube
22×associate-*l* pow-sqr
18×pow-plus
13×pow2
10×prod-exp cbrt-unprod
9×add-log-exp
7×sum-cubes distribute-lft-out
5×flip3-+ associate-/r* flip-+
4×associate-*r* associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times associate-+r+ associate-*r/ div-exp sum-log *-commutative div-inv
1×+-commutative distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log swap-sqr associate-*l/ clear-num
Counts
4 → 161
Calls
4 calls:
34.0ms
(* (* x x) (* x x))
31.0ms
(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
45.0ms
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
226.0ms
(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* x x) (* x x))
235.0ms
(/ x (+ (pow (* x x) 3) (pow 1.0 3)))
46.0ms
(+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))
128.0ms
(* (/ x (+ (pow (* x x) 3) (pow 1.0 3))) (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0))))

simplify101.0ms

Counts
173 → 173

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (pow x 3))
0.1b
(/ 1 (pow x 5))
19.1b
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite171.0ms

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
8×frac-sub add-log-exp sqr-pow
7×add-cbrt-cube
6×pow-to-exp rec-exp 1-exp associate-*r/ pow-exp un-div-inv associate-/l*
4×cube-mult unpow3 frac-add
3×pow1
2×cbrt-undiv pow-flip frac-2neg flip3-+ diff-log clear-num flip-+ div-inv inv-pow
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 148
Calls
3 calls:
10.0ms
(/ 1 (pow x 3))
10.0ms
(/ 1 (pow x 5))
145.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (pow x 3))
54.0ms
(/ 1 (pow x 5))
48.0ms
(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify75.0ms

Counts
157 → 157

prune231.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.3b

bsearch77.0ms

Steps
ItersRangePoint
9
1.494961173861339
216094143.84427205
442.9064156803048
9
-8327.681910469391
-0.031006959526126927
-5302.573714174224

simplify1.0ms

end0.0ms

sample382.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid