Details

Time bar (total: 42.1s)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ x (+ (* x x) 1))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize8.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ x (+ (* x x) 1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
10.0ms
(/ x (+ (* x x) 1))

series48.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
48.0ms
(/ x (+ (* x x) 1))

simplify2.9s

Counts
43 → 33
Calls
43 calls:
Slowest
527.0ms
(/ x (+ (pow (* x x) 3) (pow 1 3)))
418.0ms
(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
396.0ms
(* (* (/ x (+ (* x x) 1)) (/ x (+ (* x x) 1))) (/ x (+ (* x x) 1)))
246.0ms
(- (+ x (pow x 5)) (pow x 3))
229.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

13.8b
(sqrt (+ (* x x) 1))
13.8b
(sqrt (+ (* x x) 1))
0.0b
(/ x (sqrt (+ (* x x) 1)))
0.0b
(/ 1 (sqrt (+ (* x x) 1)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×*-un-lft-identity times-frac add-cube-cbrt
30×sqrt-prod
12×associate-/r*
10×add-exp-log
8×pow1 add-cbrt-cube sqrt-div
6×associate-/l*
4×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
3×sqrt-pow1 pow1/2 div-exp pow-flip
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-inv
1×rec-exp 1-exp inv-pow
Counts
4 → 122
Calls
4 calls:
Slowest
16.0ms
(/ 1 (sqrt (+ (* x x) 1)))
11.0ms
(/ x (sqrt (+ (* x x) 1)))
9.0ms
(sqrt (+ (* x x) 1))
7.0ms
(sqrt (+ (* x x) 1))

series238.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(/ x (sqrt (+ (* x x) 1)))
55.0ms
(/ 1 (sqrt (+ (* x x) 1)))
47.0ms
(sqrt (+ (* x x) 1))
43.0ms
(sqrt (+ (* x x) 1))

simplify10.7s

Counts
177 → 134
Calls
177 calls:
Slowest
521.0ms
(sqrt (+ (pow (* x x) 3) (pow 1 3)))
513.0ms
(/ x (sqrt (+ (pow (* x x) 3) (pow 1 3))))
502.0ms
(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))
480.0ms
(sqrt (+ (pow (* x x) 3) (pow 1 3)))
431.0ms
(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

18.4b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.1b
(/ 1 (* (* x x) x))
0.1b
(* (* x x) x)
0.1b
(/ 1 (pow x 5))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
39×add-exp-log
38×*-un-lft-identity
26×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
20×add-cbrt-cube
15×div-inv
13×pow-flip
12×unpow-prod-down pow-plus div-exp prod-exp pow-prod-up
10×distribute-lft-out--
9×add-log-exp
8×associate-/r* distribute-lft-out
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×pow2 cbrt-undiv pow-sqr insert-posit16 sqr-pow
3×pow-to-exp associate-*r* pow-exp frac-sub
2×clear-num frac-2neg diff-log pow3 inv-pow
1×sum-log sub-neg flip3-+ flip3-- associate-*l* frac-add associate--l+ *-commutative flip-+ flip-- difference-of-squares unswap-sqr
Counts
4 → 155
Calls
4 calls:
Slowest
149.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
45.0ms
(/ 1 (* (* x x) x))
28.0ms
(* (* x x) x)
11.0ms
(/ 1 (pow x 5))

series231.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(/ 1 (pow x 5))
60.0ms
(* (* x x) x)
53.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
47.0ms
(/ 1 (* (* x x) x))

simplify24.1s

Counts
196 → 167
Calls
196 calls:
Slowest
1.1s
(* (* (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x))) (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))) (- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x))))
666.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
630.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
604.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))
590.0ms
(- (* (- (* (/ 1 x) (/ 1 x)) (* (/ 1 (pow x 5)) (/ 1 (pow x 5)))) (* (* x x) x)) (* (- (/ 1 x) (/ 1 (pow x 5))) 1))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.6b

bsearch78.0ms

end0.0ms

sample630.0ms

Algorithm
intervals
Results
528.0ms8000×body80valid