Details

sample23.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

15.0ms

(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize15.0ms

Local error

Found 1 expressions with local error:

15.1b

(/ x (+ (* x x) 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

25.0ms

(/ x (+ (* x x) 1))

series45.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

45.0ms

(/ x (+ (* x x) 1))

simplify2.0s

Counts

30 → 33

Calls

30 calls:

Slowest

564.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
331.0ms	(/ (* (* x x) x) (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)))
292.0ms	(+ (* (* x x) (* x x)) (- (* 1 1) (* (* x x) 1)))
249.0ms	(- (+ x (pow x 5)) (pow x 3))
200.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune207.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

15.0b	(sqrt (+ (* x x) 1))
15.0b	(sqrt (+ (* x x) 1))
0.0b	(/ x (sqrt (+ (* x x) 1)))
0.0b	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`associate-/r*`
11×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 266

Calls

4 calls:

Slowest

36.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
16.0ms	(/ x (sqrt (+ (* x x) 1)))
10.0ms	(sqrt (+ (* x x) 1))
7.0ms	(sqrt (+ (* x x) 1))

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(/ x (sqrt (+ (* x x) 1)))
67.0ms	(/ (/ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
54.0ms	(sqrt (+ (* x x) 1))
51.0ms	(sqrt (+ (* x x) 1))

simplify26.1s

Counts

396 → 278

Calls

396 calls:

Slowest

525.0ms	(sqrt (+ (pow (* x x) 3) (pow 1 3)))
512.0ms	(/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) 1))))
505.0ms	(/ (/ (* (* x x) x) (* (* (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))) (* (* (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))))
497.0ms	(/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1 3)))) (sqrt (sqrt (+ (* x x) 1))))
487.0ms	(/ (/ x (sqrt (+ (pow (* x x) 3) (pow 1 3)))) (sqrt 1))

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

15.0b	(/ (+ (* x x) 1) x)
0.1b	(/ 1 (/ (+ (* x x) 1) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

2 → 107

Calls

2 calls:

Slowest

21.0ms	(/ 1 (/ (+ (* x x) 1) x))
18.0ms	(/ (+ (* x x) 1) x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(/ (+ (* x x) 1) x)
50.0ms	(/ 1 (/ (+ (* x x) 1) x))

simplify7.5s

Counts

132 → 113

Calls

132 calls:

Slowest

621.0ms	(/ (* (* 1 1) 1) (/ (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x)))
559.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
493.0ms	(/ (* (* (+ (* x x) 1) (+ (* x x) 1)) (+ (* x x) 1)) (* (* x x) x))
371.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))) (* (cbrt x) (cbrt x))))
294.0ms	(/ (sqrt 1) (/ (* (cbrt (+ (* x x) 1)) (cbrt (+ (* x x) 1))) (* (cbrt x) (cbrt x))))

prune718.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
6×	`add-exp-log` `div-inv`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `pow-flip` `inv-pow`

Counts

2 → 56

Calls

2 calls:

Slowest

21.0ms	(/ 1 (+ x (/ 1 x)))
12.0ms	(+ x (/ 1 x))

series56.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

29.0ms	(+ x (/ 1 x))
27.0ms	(/ 1 (+ x (/ 1 x)))

simplify2.0s

Counts

52 → 62

Calls

52 calls:

Slowest

416.0ms	(/ (* (* 1 1) 1) (* (* (+ x (/ 1 x)) (+ x (/ 1 x))) (+ x (/ 1 x))))
288.0ms	(- (+ x (pow x 5)) (pow x 3))
253.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
222.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
159.0ms	(+ (* x x) (- (* (/ 1 x) (/ 1 x)) (* x (/ 1 x))))

prune350.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample698.0ms

Algorithm

intervals

Results

587.0ms

8000×

body

valid