Details

sample30.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
62×	`times-frac`
35×	`add-cube-cbrt`
27×	`fma-def`
14×	`difference-of-squares`
12×	`distribute-lft-out`
11×	`associate-/r*`
9×	`add-exp-log` `distribute-lft-out--`
7×	`add-cbrt-cube` `difference-of-sqr-1`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `div-inv`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`+-commutative` `rec-exp` `sum-log` `1-exp` `frac-add` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

Slowest

47.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms	(/ x (+ x 1))
9.0ms	(/ 1 (- x 1))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

68.0ms	(+ (/ 1 (- x 1)) (/ x (+ x 1)))
39.0ms	(/ x (+ x 1))
23.0ms	(/ 1 (- x 1))

simplify4.6s

Counts

138 → 145

Calls

138 calls:

Slowest

434.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
350.0ms	(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
275.0ms	(+ (* 1 (+ x 1)) (* (- x 1) x))
265.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
249.0ms	(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ 1 (fma x x -1))
0.0b	(/ x (+ x 1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

rewrite16.0ms

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`

Counts

3 → 81

Calls

3 calls:

Slowest

8.0ms	(/ x (+ x 1))
4.0ms	(/ 1 (fma x x -1))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

141.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
38.0ms	(/ x (+ x 1))
38.0ms	(/ 1 (fma x x -1))

simplify3.5s

Counts

70 → 90

Calls

70 calls:

Slowest

383.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
297.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
279.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
256.0ms	(/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1)))
239.0ms	(- (+ x (pow x 3)) (pow x 2))

prune665.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(expm1 (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
0.4b	(/ 1 (fma x x -1))
0.0b	(/ x (+ x 1))
0.0b	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

Slowest

16.0ms	(/ x (+ x 1))
8.0ms	(/ 1 (fma x x -1))
1.0ms	(expm1 (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
0.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

223.0ms	(expm1 (fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1))))
123.0ms	(fma (/ 1 (fma x x -1)) (+ x 1) (/ x (+ x 1)))
43.0ms	(/ 1 (fma x x -1))
27.0ms	(/ x (+ x 1))

simplify4.2s

Counts

74 → 105

Calls

74 calls:

Slowest

361.0ms	(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
342.0ms	(- (+ (* 2/3 (* (pow x 6) (exp -1))) (exp -1)) (+ (* 2 (* (pow x 2) (exp -1))) 1))
278.0ms	(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
266.0ms	(- (+ (* 4 (/ E (pow x 4))) (+ E (* 2 (/ E (pow x 2))))) 1)
258.0ms	(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune1.2s

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

sample817.0ms

Algorithm

intervals

Results

722.0ms

8000×

body

valid