Details

Time bar (total: 15.6s)

sample97.0ms

Algorithm
intervals
Results
10.0ms67×body1280valid
8.0ms64×body640valid
7.0ms167×body80valid
3.0ms30×body320valid
1.0ms10×body160valid

simplify547.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
546.0ms
(- (* (+ 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)

rewrite17.0ms

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×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
Slowest
15.0ms
(* (+ 2 x) x)

series55.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
54.0ms
(* (+ 2 x) x)

simplify893.0ms

Counts
14 → 27
Calls
14 calls:
Slowest
433.0ms
(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
251.0ms
(* (- (* 2 2) (* x x)) x)
128.0ms
(* (+ (pow 2 3) (pow x 3)) x)
15.0ms
(+ (* 2 x) (pow x 2))
15.0ms
(+ (* 2 x) (pow x 2))

prune107.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

7.0b
(/ (* (- 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×expm1-log1p-u cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u 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 → 56
Calls
2 calls:
Slowest
20.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
12.0ms
(* (- 4 (* x x)) x)

series183.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(/ (* (- 4 (* x x)) x) (- 2 x))
73.0ms
(* (- 4 (* x x)) x)

simplify1.9s

Counts
42 → 62
Calls
42 calls:
Slowest
203.0ms
(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x))
189.0ms
(/ (* (* (* (- 4 (* x x)) x) (* (- 4 (* x x)) x)) (* (- 4 (* x x)) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))
179.0ms
(* (- (* 4 4) (* (* x x) (* x x))) x)
178.0ms
(* (- (* 4 4) (* (* x x) (* x x))) x)
141.0ms
(/ (* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* x x) x)) (* (* (- 2 x) (- 2 x)) (- 2 x)))

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- 4 (* x x)) (/ (- 2 x) x))
0.0b
(/ (- 2 x) x)

rewrite27.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp
1×associate-/r/
Counts
2 → 161
Calls
2 calls:
Slowest
14.0ms
(/ (- 4 (* x x)) (/ (- 2 x) x))
10.0ms
(/ (- 2 x) x)

series157.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(/ (- 4 (* x x)) (/ (- 2 x) x))
47.0ms
(/ (- 2 x) x)

simplify9.6s

Counts
227 → 167
Calls
227 calls:
Slowest
314.0ms
(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ (* (cbrt (- 2 x)) (cbrt (- 2 x))) (* (cbrt x) (cbrt x))))
283.0ms
(/ (cbrt (- 4 (* x x))) (sqrt (/ (- 2 x) x)))
245.0ms
(- (pow 4 3) (pow (* x x) 3))
199.0ms
(- (* 4 4) (* (* x x) (* x x)))
140.0ms
(/ (* (cbrt (- 4 (* x x))) (cbrt (- 4 (* x x)))) (/ 1 (* (cbrt x) (cbrt x))))

prune713.0ms

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

sample995.0ms

Algorithm
intervals
Results
424.0ms2294×body1280valid
188.0ms5445×body80valid
181.0ms1688×body640valid
88.0ms836×body320valid
23.0ms390×body160valid