Details

Time bar (total: 14.1s)

sample40.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify2.5s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
12.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite203.0ms

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-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ 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 → 79
Calls
4 calls:
92.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
11.0ms
(+ 2.30753 (* x 0.27061))
32.0ms
(* x (+ 0.99229 (* x 0.04481)))
65.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
61.0ms
(+ 2.30753 (* x 0.27061))
108.0ms
(* x (+ 0.99229 (* x 0.04481)))
72.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify974.0ms

Counts
91 → 91

prune374.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
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
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

rewrite163.0ms

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
6×flip3-+ associate-*l* flip-+ add-log-exp
5×associate-*r/ prod-exp
4×div-exp associate-/r/ unswap-sqr
3×associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative distribute-rgt-in pow-flip frac-2neg distribute-lft-in frac-add clear-num sum-log un-div-inv inv-pow
Counts
4 → 109
Calls
4 calls:
9.0ms
(+ 2.30753 (* x 0.27061))
75.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
16.0ms
(/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
58.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ 2.30753 (* x 0.27061))
108.0ms
(* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))
71.0ms
(/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
90.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16)))))))

simplify1.4s

Counts
121 → 121

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

rewrite170.0ms

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-+
4×pow-to-exp cbrt-div pow-exp add-log-exp
3×rec-exp pow-unpow 1-exp associate-*l* div-inv associate-/l*
2×frac-times associate-*l/
1×cbrt-undiv pow-flip pow-pow frac-2neg pow1/3 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod inv-pow rem-cube-cbrt
Counts
4 → 225
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))
19.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)))
106.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)
102.0ms
(/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))
57.0ms
(cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3)))
83.0ms
(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))) 3))))

simplify1.4s

Counts
237 → 237

prune835.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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))))))

rewrite389.0ms

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:
218.0ms
(/ (- (* (/ (+ (/ 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))
64.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
51.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
51.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(/ (- (* (/ (+ (/ 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))
89.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
71.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))
62.0ms
(/ (+ (/ 162377988252285.0 70368744177664.0) (* x (/ 609359547581365.0 2251799813685248.0))) (+ 1.0 (* x (+ (/ 8937753748486939.0 9007199254740992.0) (* x (/ 3228900788839551.0 7.205759403792794e+16))))))

simplify942.0ms

Counts
149 → 149

prune808.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify721.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
938.0ms8000×body80valid