Details

Time bar (total: 11.1s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify1.3s

Counts
1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
0.0b
(- x (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))
0.1b
(* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)
12.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r/ associate-*r* associate-*l* associate-*l/ frac-add associate-/r* associate-/l/ associate-/l*
2×associate-/r/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 80
Calls
4 calls:
24.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
62.0ms
(- x (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))
79.0ms
(* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)
87.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
141.0ms
(- x (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))
119.0ms
(* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)
92.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

simplify902.0ms

Counts
92 → 92

prune356.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

7.3b
(/ (* (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))) (* (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))) (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
13.3b
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
13.3b
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
13.3b
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-div
17×flip3-+ flip-+
16×add-exp-log
15×associate-/l/
13×frac-times associate-*r/
9×cbrt-prod
8×frac-add associate-/r/ add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l/
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
74.0ms
(/ (* (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))) (* (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))) (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
16.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
3.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
3.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

series800.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(/ (* (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))) (* (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))) (cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
172.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
201.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
174.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))

simplify1.0s

Counts
95 → 95

prune631.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))
13.3b
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
13.3b
(cbrt (/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
21.6b
(/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
22×flip3-+ flip-+
19×cbrt-prod
17×frac-times
16×add-exp-log associate-*r/ associate-/r/ add-cbrt-cube
15×associate-/l/
9×frac-add
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
6×cbrt-div
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×times-frac div-inv
1×frac-2neg clear-num associate-/r* associate-/l*
Counts
4 → 93
Calls
4 calls:
10.0ms
(cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))
3.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
34.0ms
(cbrt (/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
54.0ms
(/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))))
222.0ms
(cbrt (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))
288.0ms
(cbrt (/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)))))
137.0ms
(/ (* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))) (* (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x)) (+ 1.0 (* (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))) x))))

simplify1.7s

Counts
105 → 105

prune870.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify986.0ms

end0.0ms

sample650.0ms

Algorithm
intervals
Results
480.0ms8000×body80valid