Details

Time bar (total: 23.4s)

sample92.0ms

Algorithm
intervals
Results
11.0ms72×body1280valid
5.0ms178×body80valid
5.0ms50×body640valid
2.0ms31×body320valid
1.0ms16×body160valid

simplify731.0ms

Calls
1 calls:
Slowest
731.0ms
(- (* (+ x 1) (+ x 1)) 1)

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ 2 x) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 distribute-lft-out add-log-exp unswap-sqr
Calls
1 calls:
Slowest
14.0ms
(* (+ 2 x) x)

series56.0ms

Calls
1 calls:
Slowest
56.0ms
(* (+ 2 x) x)

simplify770.0ms

Calls
14 calls:
Slowest
364.0ms
(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
194.0ms
(* (- (* 2 2) (* x x)) x)
130.0ms
(* (+ (pow 2 3) (pow x 3)) x)
15.0ms
(+ (* 2 x) (pow x 2))
14.0ms
(+ (* 2 x) (pow x 2))

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

7.4b
(/ (* (- 4 (* x x)) x) (- 2 x))
0.1b
(* (- 4 (* x x)) x)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
166×add-sqr-sqrt
110×*-un-lft-identity
95×times-frac
77×associate-*l*
55×difference-of-squares
42×add-cube-cbrt
34×distribute-lft-out--
21×associate-*r*
19×associate-/l*
14×*-commutative unswap-sqr
9×add-cbrt-cube add-exp-log
7×swap-sqr
5×associate-/r*
4×pow1 associate-*l/
3×flip3-- flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down div-inv
Calls
2 calls:
Slowest
67.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
26.0ms
(* (- 4 (* x x)) x)

series179.0ms

Calls
2 calls:
Slowest
108.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
71.0ms
(* (- 4 (* x x)) x)

simplify9.9s

Calls
239 calls:
Slowest
247.0ms
(/ (* (- 4 (* x x)) 1) (* (cbrt (- 2 x)) (cbrt (- 2 x))))
245.0ms
(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) (* (cbrt (- 2 x)) (cbrt (- 2 x))))
224.0ms
(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) 1)
221.0ms
(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) 1)
195.0ms
(/ (* (- 4 (* x x)) (sqrt x)) (* (cbrt (- 2 x)) (cbrt (- 2 x))))

prune718.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- 2 x))
0.0b
(* (- 4 (* x x)) (/ x (- 2 x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
53×*-un-lft-identity
31×times-frac
28×add-cube-cbrt
22×frac-times
21×associate-*r*
20×associate-/r*
15×difference-of-squares
14×flip3-- flip--
13×associate-/l*
12×distribute-lft-out--
11×associate-*l* associate-*r/
9×add-cbrt-cube add-exp-log
5×clear-num
4×pow1 frac-2neg associate-/r/
3×unswap-sqr
2×cbrt-undiv div-exp associate-*l/ prod-exp un-div-inv *-commutative cbrt-unprod insert-posit16 div-inv add-log-exp
1×swap-sqr pow-prod-down
Calls
2 calls:
Slowest
43.0ms
(* (- 4 (* x x)) (/ x (- 2 x)))
7.0ms
(/ x (- 2 x))

series125.0ms

Calls
2 calls:
Slowest
103.0ms
(* (- 4 (* x x)) (/ x (- 2 x)))
22.0ms
(/ x (- 2 x))

simplify9.0s

Calls
143 calls:
Slowest
472.0ms
(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* (/ x (- 2 x)) (/ x (- 2 x))) (/ x (- 2 x))))
356.0ms
(* (+ 4 (* x x)) (/ (- 2 x) (sqrt x)))
229.0ms
(* (- (* 4 4) (* (* x x) (* x x))) 1)
229.0ms
(* (- (* 4 4) (* (* x x) (* x x))) 1)
223.0ms
(* (+ (* 4 4) (+ (* (* x x) (* x x)) (* 4 (* x x)))) (/ (- 2 x) (cbrt x)))

prune558.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample942.0ms

Algorithm
intervals
Results
385.0ms2220×body1280valid
190.0ms1642×body640valid
177.0ms5503×body80valid
67.0ms856×body320valid
45.0ms462×body160valid