Details

sample20.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify18.0ms

Calls

1 calls:

Slowest

18.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
149×	`add-sqr-sqrt`
133×	`associate-/r*`
130×	`frac-add`
81×	`add-cube-cbrt`
75×	`associate-/l*`
62×	`times-frac`
34×	`difference-of-squares`
27×	`fma-def`
25×	`clear-num` `frac-2neg` `distribute-lft-out`
19×	`distribute-lft-out--`
17×	`difference-of-sqr-1`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r/`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

60.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms	(/ x (+ x 1))
9.0ms	(/ 1 (- x 1))

series134.0ms

Calls

3 calls:

Slowest

92.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms	(/ x (+ x 1))
15.0ms	(/ 1 (- x 1))

simplify1.2m

Calls

396 calls:

Slowest

1.1s	(+ (* (sqrt 1) (- (+ x 1))) (* (/ (- x 1) (sqrt 1)) (- x)))
1.0s	(+ (* (* (cbrt 1) (cbrt 1)) (- (+ x 1))) (* (/ (- x 1) (cbrt 1)) (- x)))
966.0ms	(+ (* 1 (- (+ x 1))) (* (- x 1) (- x)))
751.0ms	(+ (* (- 1) (+ x 1)) (* (- (- x 1)) x))
730.0ms	(* (/ (- x 1) (cbrt 1)) (+ x 1))

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

221×	`*-un-lft-identity`
197×	`add-sqr-sqrt`
143×	`associate-/r*`
130×	`frac-add`
97×	`add-cube-cbrt`
92×	`times-frac`
78×	`associate-/l*`
50×	`difference-of-squares`
27×	`fma-def` `distribute-lft-out--`
26×	`clear-num` `frac-2neg`
25×	`difference-of-sqr-1`
21×	`distribute-lft-out`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-/r/`
7×	`pow1`
6×	`div-exp` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-flip` `inv-pow`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

79.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
9.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))
9.0ms	(/ 1 (- x 1))

series176.0ms

Calls

4 calls:

Slowest

96.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
31.0ms	(/ 1 (- x 1))
25.0ms	(/ 1 (- x 1))
24.0ms	(/ 1 (- x 1))

simplify1.3m

Calls

479 calls:

Slowest

1.1s	(+ (* (sqrt 1) (- (+ x 1))) (* (/ (- x 1) (sqrt 1)) (- x)))
1.1s	(+ (* 1 (- (+ x 1))) (* (- x 1) (- x)))
992.0ms	(+ (* (* (cbrt 1) (cbrt 1)) (- (+ x 1))) (* (/ (- x 1) (cbrt 1)) (- x)))
797.0ms	(+ (* (/ 1 (+ (sqrt x) (sqrt 1))) (/ (+ x 1) x)) (* (- (sqrt x) (sqrt 1)) 1))
796.0ms	(+ (* (- 1) (+ x 1)) (* (- (- x 1)) (/ x 1)))

prune3.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (fma x x -1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
0.0b	(/ x (+ x 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
21×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log`
7×	`associate-/r*` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `distribute-lft-out`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `associate-/r/` `div-inv`
1×	`rec-exp` `flip3-+` `1-exp` `flip-+` `fma-udef` `pow-flip` `inv-pow`

Calls

3 calls:

Slowest

16.0ms	(/ x (+ x 1))
8.0ms	(/ 1 (fma x x -1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series208.0ms

Calls

3 calls:

Slowest

123.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
51.0ms	(/ 1 (fma x x -1))
34.0ms	(/ x (+ x 1))

simplify3.4s

Calls

70 calls:

Slowest

373.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
273.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
267.0ms	(- (+ x (pow x 3)) (pow x 2))
251.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
246.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune826.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample848.0ms

Algorithm

intervals

Results

726.0ms

8000×

body

valid