Details

sample70.0ms

Algorithm

intervals

Results

10.0ms	67×	body	1280	valid
6.0ms	186×	body	80	valid
6.0ms	53×	body	640	valid
4.0ms	31×	body	320	valid
1.0ms	10×	body	160	valid

simplify233.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

233.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ 2 x) x)

rewrite16.0ms

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)

series56.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

56.0ms

(* (+ 2 x) x)

simplify943.0ms

Counts

14 → 27

Calls

14 calls:

Slowest

459.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* x x) x))
260.0ms	(* (- (* 2 2) (* x x)) x)
132.0ms	(* (+ (pow 2 3) (pow x 3)) x)
19.0ms	(+ (* 2 x) (pow x 2))
18.0ms	(+ (* 2 x) (pow x 2))

prune105.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (+ 2 x) (sqrt x)) (sqrt x))
0.1b	(* (+ 2 x) (sqrt x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 54

Calls

2 calls:

Slowest

30.0ms	(* (* (+ 2 x) (sqrt x)) (sqrt x))
15.0ms	(* (+ 2 x) (sqrt x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

50.0ms	(* (+ 2 x) (sqrt x))
43.0ms	(* (* (+ 2 x) (sqrt x)) (sqrt x))

simplify1.6s

Counts

38 → 60

Calls

38 calls:

Slowest

395.0ms	(* (* (* (+ 2 x) (+ 2 x)) (+ 2 x)) (* (* (sqrt x) (sqrt x)) (sqrt x)))
271.0ms	(* (* (- (* 2 2) (* x x)) (sqrt x)) (sqrt x))
225.0ms	(* (* (+ (pow 2 3) (pow x 3)) (sqrt x)) (sqrt x))
135.0ms	(* (+ (pow 2 3) (pow x 3)) (sqrt x))
124.0ms	(* (- (* 2 2) (* x x)) (sqrt x))

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

1.7b	(/ (* (- 4 (* x x)) (sqrt x)) (- 2 x))
0.2b	(* (/ (* (- 4 (* x x)) (sqrt x)) (- 2 x)) (sqrt x))
0.1b	(* (- 4 (* x x)) (sqrt x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity`
15×	`associate-l`
12×	`associate-r` `add-cube-cbrt`
10×	`times-frac`
8×	`sqrt-prod`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-l/`
4×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

3 → 98

Calls

3 calls:

Slowest

31.0ms	(* (/ (* (- 4 (* x x)) (sqrt x)) (- 2 x)) (sqrt x))
17.0ms	(/ (* (- 4 (* x x)) (sqrt x)) (- 2 x))
15.0ms	(* (- 4 (* x x)) (sqrt x))

series228.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(* (/ (* (- 4 (* x x)) (sqrt x)) (- 2 x)) (sqrt x))
80.0ms	(/ (* (- 4 (* x x)) (sqrt x)) (- 2 x))
55.0ms	(* (- 4 (* x x)) (sqrt x))

simplify4.5s

Counts

79 → 107

Calls

79 calls:

Slowest

277.0ms	(* (/ (* (* (* (- 4 (* x x)) (sqrt x)) (* (- 4 (* x x)) (sqrt x))) (* (- 4 (* x x)) (sqrt x))) (* (* (- 2 x) (- 2 x)) (- 2 x))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
268.0ms	(* (/ (* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (- 2 x) (- 2 x)) (- 2 x))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
214.0ms	(* (- (* 4 4) (* (* x x) (* x x))) (sqrt x))
212.0ms	(* (* (* (- 4 (* x x)) (- 4 (* x x))) (- 4 (* x x))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
212.0ms	(* (- (* 4 4) (* (* x x) (* x x))) (sqrt x))

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

617.0ms	2261×	body	1280	valid
202.0ms	1637×	body	640	valid
172.0ms	5492×	body	80	valid
83.0ms	814×	body	320	valid
22.0ms	429×	body	160	valid