Details

Time bar (total: 4.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify107.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))
0.0b
(* (/ 6369080665019903.0 9007199254740992.0) (- (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
0.1b
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
15.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

rewrite506.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
16×associate-*l*
13×add-exp-log add-cbrt-cube
9×associate-*r*
8×pow1 associate-*r/
6×add-log-exp
4×flip3-+ flip-+
3×distribute-rgt-in distribute-lft-in frac-add prod-exp associate-/r* cbrt-unprod associate-/l/ associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg flip3-- div-exp pow-prod-down associate-/r/ *-commutative flip-- div-inv difference-of-squares
1×+-commutative frac-2neg associate-*l/ clear-num sum-log distribute-lft-out--
Counts
4 → 110
Calls
4 calls:
20.0ms
(+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))
339.0ms
(* (/ 6369080665019903.0 9007199254740992.0) (- (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
71.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
72.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))
139.0ms
(* (/ 6369080665019903.0 9007199254740992.0) (- (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
106.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
83.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

simplify103.0ms

Counts
122 → 122

prune480.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* (/ 6369080665019903.0 9007199254740992.0) (- x)))
0.1b
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
0.1b
(* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))
15.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×times-frac
28×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
18×associate-*r*
16×associate-*l*
8×pow1
7×associate-*r/
6×add-log-exp
5×cbrt-undiv flip3-+ div-exp associate-*l/ frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
4×associate-/r/
3×associate-/r* div-inv associate-/l/ associate-/l*
2×frac-times pow-prod-down *-commutative distribute-rgt-neg-out
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in unsub-neg clear-num sum-log distribute-lft-out
Counts
4 → 124
Calls
4 calls:
43.0ms
(+ (* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* (/ 6369080665019903.0 9007199254740992.0) (- x)))
73.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
106.0ms
(* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))
85.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

series409.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* (/ 6369080665019903.0 9007199254740992.0) (- x)))
80.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
117.0ms
(* (/ 6369080665019903.0 9007199254740992.0) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))
102.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

simplify110.0ms

Counts
136 → 136

prune977.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

-12.8% (0.0b remaining)

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

bsearch0.0ms

simplify82.0ms

end0.0ms

sample793.0ms

Algorithm
intervals
Results
617.0ms8000×body80valid