Details

Time bar (total: 15.9s)

sample98.0ms

Algorithm
intervals
Results
36.0ms23×body320valid
12.0ms80×body1280valid
7.0ms57×body640valid
7.0ms165×body80valid
1.0ms18×body160valid

simplify474.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
474.0ms
(- (* (+ x 1) (+ x 1)) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ 2 x) x)

rewrite18.0ms

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
Counts
1 → 22
Calls
1 calls:
Slowest
16.0ms
(* (+ 2 x) x)

series59.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
59.0ms
(* (+ 2 x) x)

simplify796.0ms

Counts
14 → 25
Calls
14 calls:
Slowest
370.0ms
(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
199.0ms
(* (- (* 2 2) (* x x)) x)
136.0ms
(* (+ (pow 2 3) (pow x 3)) x)
18.0ms
(+ (* 2 x) (pow x 2))
18.0ms
(+ (* 2 x) (pow x 2))

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

5.9b
(/ (* (- 4 (* x x)) x) (- 2 x))
0.1b
(* (- 4 (* x x)) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac
4×pow1 associate-*l* associate-*l/
3×flip3-- associate-*r* flip-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
Slowest
18.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
14.0ms
(* (- 4 (* x x)) x)

series183.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
113.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
70.0ms
(* (- 4 (* x x)) x)

simplify1.9s

Counts
42 → 58
Calls
42 calls:
Slowest
207.0ms
(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x))
181.0ms
(/ (* (* (* (- 4 (* x x)) x) (* (- 4 (* x x)) x)) (* (- 4 (* x x)) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))
165.0ms
(* (- (* 4 4) (* (* x x) (* x x))) x)
163.0ms
(* (- (* 4 4) (* (* x x) (* x x))) x)
149.0ms
(/ (* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))

prune255.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- 4 (* x x)) (/ (- 2 x) x))
0.0b
(/ (- 2 x) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
135×add-sqr-sqrt
115×*-un-lft-identity
77×add-cube-cbrt
39×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
9×add-cbrt-cube add-exp-log associate-/l*
7×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 clear-num frac-2neg flip3-- div-sub insert-posit16 flip-- add-log-exp
1×associate-/r/
Counts
2 → 157
Calls
2 calls:
Slowest
16.0ms
(/ (- 4 (* x x)) (/ (- 2 x) x))
13.0ms
(/ (- 2 x) x)

series159.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
109.0ms
(/ (- 4 (* x x)) (/ (- 2 x) x))
50.0ms
(/ (- 2 x) x)

simplify10.0s

Counts
227 → 163
Calls
227 calls:
Slowest
490.0ms
(- (pow 4 3) (pow (* x x) 3))
205.0ms
(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ (* (cbrt (- 2 x)) (cbrt (- 2 x))) (* (cbrt x) (cbrt x))))
148.0ms
(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ 1 (* (cbrt x) (cbrt x))))
147.0ms
(- (* 4 4) (* (* x x) (* x x)))
145.0ms
(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ 1 (* (cbrt x) (cbrt x))))

prune767.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample986.0ms

Algorithm
intervals
Results
416.0ms2349×body1280valid
219.0ms1677×body640valid
160.0ms5287×body80valid
88.0ms822×body320valid
23.0ms400×body160valid