Details

Time bar (total: 1.3m)

sample245.0ms

Algorithm
intervals
Results
82.0ms826×body80nan
23.0ms255×body80valid
0.0ms1×body160valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
31.0ms
(* (sqrt (- x 1)) (sqrt x))

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1)) (sqrt x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×sqrt-prod
10×associate-*l*
8×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-cbrt-cube pow-prod-down add-exp-log
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/ difference-of-squares
1×flip3-- sqrt-unprod difference-of-sqr-1 prod-exp *-commutative cbrt-unprod insert-posit16 flip-- distribute-lft-out-- add-log-exp
Counts
1 → 37
Calls
1 calls:
Slowest
19.0ms
(* (sqrt (- x 1)) (sqrt x))

series73.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
72.0ms
(* (sqrt (- x 1)) (sqrt x))

simplify1.2s

Counts
35 → 40
Calls
35 calls:
Slowest
415.0ms
(* (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
295.0ms
(* (sqrt (- (pow x 3) (pow 1 3))) (sqrt x))
111.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
72.0ms
(* (sqrt (- (* x x) (* 1 1))) (sqrt x))
16.0ms
(* (- x 1) x)

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (- 1/2 (/ -1/8 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×add-sqr-sqrt diff-log distribute-lft-out--
2×sub-neg associate--r+
1×pow1 flip3-- add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 flip-- associate--r- difference-of-squares
Counts
1 → 20
Calls
1 calls:
Slowest
18.0ms
(- x (- 1/2 (/ -1/8 x)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
22.0ms
(- x (- 1/2 (/ -1/8 x)))

simplify696.0ms

Counts
12 → 23
Calls
12 calls:
Slowest
143.0ms
(/ (exp x) (exp (- 1/2 (/ -1/8 x))))
88.0ms
(/ (exp x) (/ (exp 1/2) (exp (/ -1/8 x))))
80.0ms
(- x (- 1/2 (/ -1/8 x)))
80.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))
74.0ms
(- x (+ (* 1/8 (/ 1 x)) 1/2))

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

39.0b
(/ (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3)) (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x))))))
0.0b
(pow (- 1/2 (/ -1/8 x)) 3)
0.0b
(* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x)))
0.0b
(* x (- 1/2 (/ -1/8 x)))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
182×add-sqr-sqrt
155×*-un-lft-identity
94×times-frac
78×difference-of-squares
70×unpow-prod-down cube-prod
61×distribute-lft-out--
47×add-cube-cbrt
33×sqr-pow
29×associate-/l*
14×pow1
12×associate-*r*
11×add-cbrt-cube add-exp-log
9×flip3-- associate-*l* flip--
8×swap-sqr
4×distribute-rgt-in frac-times difference-cubes sub-neg distribute-lft-in associate-*r/ insert-posit16 add-log-exp
3×pow-unpow associate-/r*
2×cube-div pow-prod-down associate-*l/ prod-exp associate-/r/ *-commutative cbrt-unprod unswap-sqr associate-/l/
1×pow2 cube-mult pow-to-exp cbrt-undiv clear-num pow-pow frac-2neg flip3-+ pow-plus unpow3 div-sub div-exp pow-exp pow-sqr pow-prod-up flip-+ div-inv rem-cube-cbrt
Counts
4 → 246
Calls
4 calls:
Slowest
257.0ms
(/ (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3)) (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x))))))
72.0ms
(* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x)))
38.0ms
(* x (- 1/2 (/ -1/8 x)))
17.0ms
(pow (- 1/2 (/ -1/8 x)) 3)

series217.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(* x (- 1/2 (/ -1/8 x)))
74.0ms
(/ (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3)) (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x))))))
27.0ms
(* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x)))
21.0ms
(pow (- 1/2 (/ -1/8 x)) 3)

simplify1.1m

Counts
313 → 258
Calls
313 calls:
Slowest
790.0ms
(/ (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3)) (cbrt (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x)))))))
762.0ms
(/ (* (* (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3)) (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3))) (- (pow x 3) (pow (- 1/2 (/ -1/8 x)) 3))) (* (* (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x))))) (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x)))))) (+ (* x x) (+ (* (- 1/2 (/ -1/8 x)) (- 1/2 (/ -1/8 x))) (* x (- 1/2 (/ -1/8 x)))))))
746.0ms
(/ (+ (pow (sqrt x) 3) (pow (sqrt (- 1/2 (/ -1/8 x))) 3)) 1)
705.0ms
(pow (- (* 1/2 1/2) (* (/ -1/8 x) (/ -1/8 x))) 3)
555.0ms
(pow (+ (sqrt 1/2) (/ (sqrt -1/8) (sqrt x))) 3)

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.5s23765×body80nan
658.0ms7988×body80valid
1.0ms12×body160valid