Details

sample67.0ms

Algorithm

intervals

Results

24.0ms	63×	body	640	valid
20.0ms	137×	body	80	valid
10.0ms	36×	body	320	valid
4.0ms	20×	body	160	valid

simplify15.0ms

Calls

1 calls:

Slowest

15.0ms

(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize12.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

200×	`*-un-lft-identity`
158×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-sub`
78×	`add-cube-cbrt`
75×	`associate-/l*`
69×	`times-frac`
37×	`distribute-lft-out--` `difference-of-squares`
25×	`clear-num` `frac-2neg`
23×	`distribute-lft-out`
14×	`difference-of-sqr-1`
11×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log`

Calls

3 calls:

Slowest

70.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
17.0ms	(/ 1 (- x 1))
8.0ms	(/ 1 (+ x 1))

series142.0ms

Calls

3 calls:

Slowest

94.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
24.0ms	(/ 1 (- x 1))
23.0ms	(/ 1 (+ x 1))

simplify1.2m

Calls

411 calls:

Slowest

972.0ms	(- (* (* (cbrt 1) (cbrt 1)) (/ (- x 1) (cbrt 1))) (* (/ (+ x 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))))
781.0ms	(* (/ (+ x 1) (sqrt 1)) (- (- x 1)))
754.0ms	(* (- (+ x 1)) (- (sqrt x) (sqrt 1)))
751.0ms	(* (/ (+ x 1) (cbrt 1)) (- (- x 1)))
727.0ms	(- (* (/ 1 (sqrt (+ x 1))) (- (- x 1))) (* (sqrt (+ x 1)) (- 1)))

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ -2 (+ (+ x -1) (* (+ x -1) x)))
0.0b	(+ (+ x -1) (* (+ x -1) x))
0.0b	(* (+ x -1) x)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
76×	`distribute-lft-out`
48×	`add-sqr-sqrt`
45×	`times-frac`
40×	`associate-l`
35×	`add-cube-cbrt`
16×	`*-commutative`
15×	`associate-/r*`
11×	`difference-of-sqr--1` `flip3-+` `flip-+`
10×	`distribute-rgt-out` `associate-*l/`
8×	`frac-add` `add-log-exp`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r/`
5×	`pow1` `distribute-rgt1-in`
3×	`sum-log` `associate-r` `insert-posit16` `associate-/l*`
2×	`+-commutative` `associate-+l+`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`

Calls

3 calls:

Slowest

71.0ms	(/ -2 (+ (+ x -1) (* (+ x -1) x)))
53.0ms	(+ (+ x -1) (* (+ x -1) x))
27.0ms	(* (+ x -1) x)

series140.0ms

Calls

3 calls:

Slowest

52.0ms	(+ (+ x -1) (* (+ x -1) x))
46.0ms	(* (+ x -1) x)
42.0ms	(/ -2 (+ (+ x -1) (* (+ x -1) x)))

simplify21.1s

Calls

163 calls:

Slowest

744.0ms	(+ (* (+ x -1) (+ x -1)) (- (* (* (+ x -1) x) (* (+ x -1) x)) (* (+ x -1) (* (+ x -1) x))))
509.0ms	(* (- x -1) (+ (* x x) (- (* -1 -1) (* x -1))))
503.0ms	(* (* (* (+ x -1) (+ x -1)) (+ x -1)) (* (* x x) x))
484.0ms	(* (+ (* x x) (- (* -1 -1) (* x -1))) (- x -1))
431.0ms	(* (- x -1) (+ (* x x) (- (* -1 -1) (* x -1))))

prune998.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -2 (+ x 1)) (+ x -1))
0.0b	(/ -2 (+ x 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
164×	`*-un-lft-identity`
99×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
42×	`distribute-lft-out`
24×	`associate-/l*`
19×	`difference-of-sqr--1`
16×	`associate-/r/`
13×	`associate-/r*`
10×	`associate-/l/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`clear-num` `frac-2neg`
2×	`pow1` `insert-posit16` `add-log-exp`

Calls

2 calls:

Slowest

24.0ms	(/ (/ -2 (+ x 1)) (+ x -1))
7.0ms	(/ -2 (+ x 1))

series67.0ms

Calls

2 calls:

Slowest

52.0ms	(/ (/ -2 (+ x 1)) (+ x -1))
15.0ms	(/ -2 (+ x 1))

simplify18.7s

Calls

254 calls:

Slowest

800.0ms	(/ (/ -2 (+ (pow x 3) (pow 1 3))) 1)
397.0ms	(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
388.0ms	(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
381.0ms	(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
360.0ms	(/ (/ -2 (+ (pow x 3) (pow 1 3))) (sqrt (+ x -1)))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))
0.2b	(cbrt (+ x 1))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

48.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))
2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))
2.0ms	(cbrt (+ x 1))

series188.0ms

Calls

4 calls:

Slowest

52.0ms	(cbrt (+ x 1))
46.0ms	(cbrt (+ x 1))
46.0ms	(cbrt (+ x 1))
43.0ms	(* (cbrt (+ x 1)) (cbrt (+ x 1)))

simplify5.8s

Calls

97 calls:

Slowest

406.0ms	(* (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (+ x 1))
324.0ms	(* (+ x 1) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
262.0ms	(- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
259.0ms	(- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))
243.0ms	(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

760.0ms	1931×	body	640	valid
424.0ms	4183×	body	80	valid
312.0ms	1240×	body	320	valid
96.0ms	646×	body	160	valid