Details

sample139.0ms

Algorithm

intervals

Results

13.0ms	72×	body	1280	valid
6.0ms	178×	body	80	valid
6.0ms	50×	body	640	valid
3.0ms	31×	body	320	valid
1.0ms	16×	body	160	valid

simplify822.0ms

Calls

1 calls:

Slowest

821.0ms

(- (* (+ x 1) (+ x 1)) 1)

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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`

Calls

1 calls:

Slowest

15.0ms

(* (+ 2 x) x)

series48.0ms

Calls

1 calls:

Slowest

48.0ms

(* (+ 2 x) x)

simplify939.0ms

Calls

14 calls:

Slowest

449.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
254.0ms	(* (- (* 2 2) (* x x)) x)
146.0ms	(* (+ (pow 2 3) (pow x 3)) x)
16.0ms	(+ (* 2 x) (pow x 2))
16.0ms	(+ (* 2 x) (pow x 2))

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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))
25.0ms	(* (- 4 (* x x)) x)

series180.0ms

Calls

2 calls:

Slowest

110.0ms	(/ (* (- 4 (* x x)) x) (- 2 x))
70.0ms	(* (- 4 (* x x)) x)

simplify10.4s

Calls

239 calls:

Slowest

274.0ms	(/ (* (- 4 (* x x)) 1) (* (cbrt (- 2 x)) (cbrt (- 2 x))))
249.0ms	(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) 1)
248.0ms	(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) 1)
224.0ms	(/ (* (- 4 (* x x)) (sqrt x)) (* (cbrt (- 2 x)) (cbrt (- 2 x))))
203.0ms	(/ (* (- 4 (* x x)) (* (cbrt x) (cbrt x))) (+ (sqrt 2) (sqrt x)))

prune714.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `un-div-inv` `-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`swap-sqr` `pow-prod-down`

Calls

2 calls:

Slowest

42.0ms	(* (- 4 (* x x)) (/ x (- 2 x)))
9.0ms	(/ x (- 2 x))

series126.0ms

Calls

2 calls:

Slowest

101.0ms	(* (- 4 (* x x)) (/ x (- 2 x)))
24.0ms	(/ x (- 2 x))

simplify8.6s

Calls

143 calls:

Slowest

492.0ms	(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* (/ x (- 2 x)) (/ x (- 2 x))) (/ x (- 2 x))))
416.0ms	(* (- (* 4 4) (* (* x x) (* x x))) (/ x 1))
213.0ms	(* (- (* 4 4) (* (* x x) (* x x))) (sqrt x))
210.0ms	(* (- (pow 4 3) (pow (* x x) 3)) (/ x (* (cbrt (- 2 x)) (cbrt (- 2 x)))))
184.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 3)) (* 1/4 (pow x 2))))

prune561.0ms

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

sample926.0ms

Algorithm

intervals

Results

386.0ms	2220×	body	1280	valid
175.0ms	5503×	body	80	valid
161.0ms	1642×	body	640	valid
88.0ms	856×	body	320	valid
44.0ms	462×	body	160	valid