Details

Time bar (total: 8.6s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

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: 14.3b

localize5.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ x (+ (* x x) 1.0))

rewrite16.0ms

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:
15.0ms
(/ x (+ (* x x) 1.0))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ x (+ (* x x) 1.0))

simplify826.0ms

Counts
32 → 32
Iterations

Useful iterations: done (824.0ms)

IterNodesCost
074428
1183415
2802377
done5001375

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (pow x 3))
2.5b
(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
21.0b
(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*l*
16×associate-*r*
15×add-exp-log
12×add-cbrt-cube
6×pow1 unswap-sqr
5×prod-exp
4×unpow-prod-down flip3-- cube-prod associate-/r/ flip--
3×associate-/r* cbrt-unprod associate-/l* add-log-exp
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp *-commutative div-inv sqr-pow
1×cube-mult pow-to-exp frac-2neg unpow3 pow-prod-down associate-*l/ pow-exp clear-num pow-prod-up difference-of-squares
Counts
3 → 104
Calls
3 calls:
30.0ms
(* x (pow x 3))
32.0ms
(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
129.0ms
(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

series398.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* x (pow x 3))
202.0ms
(/ x (- (* x (pow x 3)) (* 1.0 1.0)))
144.0ms
(* (/ x (- (* x (pow x 3)) (* 1.0 1.0))) (- (* x x) 1.0))

simplify3.2s

Counts
113 → 113
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01951932
15721843
236131643
done50001627

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (pow x 5))
0.5b
(/ 1.0 (pow x 3))
20.3b
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
57×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
13×add-exp-log
12×cube-prod
8×add-log-exp sqr-pow
7×add-cbrt-cube
6×div-exp associate-/l*
4×cube-mult unpow3 distribute-lft-out
3×pow1 frac-add div-inv distribute-lft-out--
2×cbrt-undiv pow-to-exp associate-+l+ frac-2neg pow-exp clear-num sum-log
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log frac-sub flip-- flip-+
Counts
3 → 132
Calls
3 calls:
13.0ms
(/ 1.0 (pow x 5))
15.0ms
(/ 1.0 (pow x 3))
405.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ 1.0 (pow x 5))
59.0ms
(/ 1.0 (pow x 3))
57.0ms
(+ (- (/ 1 x) (/ 1.0 (pow x 3))) (/ 1.0 (pow x 5)))

simplify1.5s

Counts
141 → 141
Iterations

Useful iterations: 2 (556.0ms)

IterNodesCost
02171853
14961621
224511559
done50011559

prune489.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 23.6b

bsearch125.0ms

Steps
ItersRangePoint
11
0.022891638200552334
5.118117448855024e+31
412.72204873712656
9
-31601356937510816.0
-2823503834.9923654
-4056411831943571.5

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02555
13341
done3341

end0.0ms

sample553.0ms

Algorithm
intervals
Results
349.0ms8000×body80valid