Details

Time bar (total: 13.3s)

sample38.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify99.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite406.0ms

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 associate-*r/
4×flip3-+ flip-+
3×associate-*r* associate-*l* frac-add associate-/r* associate-/l/ associate-/l*
2×associate-/r/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in 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 → 82
Calls
4 calls:
33.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
226.0ms
(- (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x)
67.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
76.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
125.0ms
(- (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x)
115.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
79.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

simplify1.2s

Counts
94 → 94

prune417.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
0.1b
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
0.4b
(/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
12.5b
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
8×associate-*r/
6×flip3-+ associate-*l* flip-+ add-log-exp
5×prod-exp
4×div-exp frac-add associate-/r/ unswap-sqr
3×frac-times associate-*l/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num sum-log un-div-inv inv-pow
Counts
4 → 112
Calls
4 calls:
32.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
60.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
10.0ms
(/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
84.0ms
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

series307.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0)))
91.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
63.0ms
(/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
99.0ms
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

simplify1.4s

Counts
124 → 124

prune552.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)
0.2b
(/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))
10.1b
(cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)))
12.5b
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
100×add-sqr-sqrt
93×cbrt-prod
82×*-un-lft-identity
78×add-cube-cbrt
45×associate-*r*
35×unpow-prod-down cube-prod
16×add-exp-log
13×sqr-pow
12×associate-/r*
11×cube-mult unpow3
10×unswap-sqr
8×cube-div add-cbrt-cube
7×pow1
6×flip3-+ div-exp associate-/r/ flip-+
5×cbrt-div
4×pow-to-exp pow-exp add-log-exp
3×frac-times rec-exp pow-unpow 1-exp associate-*r/ associate-*l* associate-*l/ div-inv associate-/l*
2×frac-add
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 227
Calls
4 calls:
7.0ms
(pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)
19.0ms
(/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))
12.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)))
167.0ms
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)
83.0ms
(/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))
51.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)))
107.0ms
(* (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

simplify1.6s

Counts
239 → 239

prune980.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

12.8b
(/ (- (* (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* x x)) (+ (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
12.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
12.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
12.9b
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

rewrite534.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
43×times-frac
38×add-sqr-sqrt add-cube-cbrt
13×associate-/r* associate-/l*
12×add-exp-log add-cbrt-cube
11×associate-/l/
8×associate-/r/
7×flip3-+ flip-+
5×distribute-lft-out difference-of-squares
4×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
3×associate-*r/ frac-add
1×flip3-- div-sub flip--
Counts
4 → 137
Calls
4 calls:
303.0ms
(/ (- (* (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* x x)) (+ (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
53.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
66.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
103.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
345.0ms
(/ (- (* (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))) (* x x)) (+ (/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))) x))
113.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
105.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
117.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

simplify1.2s

Counts
149 → 149

prune953.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify800.0ms

end0.0ms

sample895.0ms

Algorithm
intervals
Results
690.0ms8000×body80valid