Details

Time bar (total: 14.0s)

sample31.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify841.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
22.0ms
(+ 0.253 (* x 0.12))
29.0ms
(* x (+ 0.253 (* x 0.12)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ 0.253 (* x 0.12))
90.0ms
(* x (+ 0.253 (* x 0.12)))

simplify564.0ms

Counts
39 → 39

prune151.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
0.8b
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
112×cbrt-div
82×associate-*r/
57×frac-times
43×flip3-+ flip-+
26×frac-add
24×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 112
Calls
4 calls:
480.0ms
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))))) (cbrt (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
12.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
10.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))

series990.0ms

Counts
4 → 12
Calls
4 calls:
442.0ms
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))))) (cbrt (+ 0.253 (* x 0.12))))
180.0ms
(cbrt (+ 0.253 (* x 0.12)))
189.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
178.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))

simplify1.2s

Counts
124 → 124

prune731.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (- (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
0.8b
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
0.8b
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
1.2b
(cbrt (- (* (/ 2278821411449471.0 9007199254740992.0) (/ 2278821411449471.0 9007199254740992.0)) (* (* x (/ 1080863910568919.0 9007199254740992.0)) (* x (/ 1080863910568919.0 9007199254740992.0)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r/
26×cbrt-div
13×cbrt-prod
10×associate-*l/ frac-sub
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
6×sub-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ frac-add flip-- flip-+
1×difference-of-squares
Counts
4 → 71
Calls
4 calls:
21.0ms
(cbrt (- (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
23.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
10.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
27.0ms
(cbrt (- (* (/ 2278821411449471.0 9007199254740992.0) (/ 2278821411449471.0 9007199254740992.0)) (* (* x (/ 1080863910568919.0 9007199254740992.0)) (* x (/ 1080863910568919.0 9007199254740992.0)))))

series927.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (- (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
207.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
172.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
376.0ms
(cbrt (- (* (/ 2278821411449471.0 9007199254740992.0) (/ 2278821411449471.0 9007199254740992.0)) (* (* x (/ 1080863910568919.0 9007199254740992.0)) (* x (/ 1080863910568919.0 9007199254740992.0)))))

simplify1.4s

Counts
83 → 83

prune757.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (/ (cbrt (+ (* 2278821411449471.0 9007199254740992.0) (* 9007199254740992.0 (* x 1080863910568919.0)))) (cbrt (* 9007199254740992.0 9007199254740992.0))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
1.0b
(cbrt (* 9007199254740992.0 9007199254740992.0))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-div
33×associate-*r/
23×frac-times
18×add-exp-log
16×flip3-+ associate-*l/ flip-+
13×pow1
10×cbrt-prod add-cbrt-cube
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×frac-add
6×associate-*r* pow-prod-down
4×add-log-exp
3×pow1/3
1×cbrt-undiv div-exp associate-*l* *-commutative
Counts
4 → 85
Calls
4 calls:
388.0ms
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (/ (cbrt (+ (* 2278821411449471.0 9007199254740992.0) (* 9007199254740992.0 (* x 1080863910568919.0)))) (cbrt (* 9007199254740992.0 9007199254740992.0))))) (cbrt (+ 0.253 (* x 0.12))))
6.0ms
(cbrt (+ 0.253 (* x 0.12)))
20.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
8.0ms
(cbrt (* 9007199254740992.0 9007199254740992.0))

series719.0ms

Counts
4 → 10
Calls
4 calls:
351.0ms
(* (* x (* (cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0)))) (/ (cbrt (+ (* 2278821411449471.0 9007199254740992.0) (* 9007199254740992.0 (* x 1080863910568919.0)))) (cbrt (* 9007199254740992.0 9007199254740992.0))))) (cbrt (+ 0.253 (* x 0.12))))
187.0ms
(cbrt (+ 0.253 (* x 0.12)))
181.0ms
(cbrt (+ (/ 2278821411449471.0 9007199254740992.0) (* x (/ 1080863910568919.0 9007199254740992.0))))
0.0ms
(cbrt (* 9007199254740992.0 9007199254740992.0))

simplify1.7s

Counts
95 → 95

prune720.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify871.0ms

end0.0ms

sample787.0ms

Algorithm
intervals
Results
542.0ms10637×body80valid