Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

25.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize14.0ms

Local error

Found 1 expressions with local error:

18.7b

(/ x (fma x x 1))

rewrite9.0ms

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`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

Slowest

8.0ms

(/ x (fma x x 1))

series70.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

70.0ms

(/ x (fma x x 1))

simplify1.6s

Counts

28 → 33

Calls

28 calls:

Slowest

569.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
310.0ms	(- (+ x (pow x 5)) (pow x 3))
191.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
180.0ms	(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
51.0ms	(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune217.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

18.7b	(sqrt (fma x x 1))
18.7b	(sqrt (fma x x 1))
0.0b	(/ x (sqrt (fma x x 1)))
0.0b	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
160×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`associate-/l/`

Counts

4 → 252

Calls

4 calls:

Slowest

19.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
10.0ms	(/ x (sqrt (fma x x 1)))
2.0ms	(sqrt (fma x x 1))
2.0ms	(sqrt (fma x x 1))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(/ x (sqrt (fma x x 1)))
93.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
57.0ms	(sqrt (fma x x 1))
52.0ms	(sqrt (fma x x 1))

simplify15.0s

Counts

362 → 264

Calls

362 calls:

Slowest

457.0ms	(/ (/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
348.0ms	(/ (* (* (/ x (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1)))) (/ x (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
347.0ms	(/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
240.0ms	(- (+ x (pow x 5)) (pow x 3))
230.0ms	(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))

prune2.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

18.7b	(/ (fma x x 1) x)
0.1b	(/ 1 (/ (fma x x 1) x))

rewrite28.0ms

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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 109

Calls

2 calls:

Slowest

16.0ms	(/ 1 (/ (fma x x 1) x))
8.0ms	(/ (fma x x 1) x)

series165.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

94.0ms	(/ (fma x x 1) x)
70.0ms	(/ 1 (/ (fma x x 1) x))

simplify5.9s

Counts

130 → 115

Calls

130 calls:

Slowest

340.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
323.0ms	(/ (* (* 1 1) 1) (/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* x x) x)))
294.0ms	(/ (* (* 1 1) 1) (* (* (/ (fma x x 1) x) (/ (fma x x 1) x)) (/ (fma x x 1) x)))
248.0ms	(/ (sqrt 1) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
241.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune767.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (hypot 1 x))
0.0b	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
0.0b	(/ 1 (hypot 1 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
43×	`times-frac`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
31×	`add-exp-log`
19×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
11×	`div-exp`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/r` `associate-/l` `unswap-sqr`
4×	`cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 123

Calls

3 calls:

Slowest

27.0ms	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
8.0ms	(/ 1 (hypot 1 x))
8.0ms	(/ x (hypot 1 x))

series322.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

128.0ms	(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))
101.0ms	(/ 1 (hypot 1 x))
94.0ms	(/ x (hypot 1 x))

simplify6.1s

Counts

114 → 132

Calls

114 calls:

Slowest

503.0ms	(* (* (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) (/ 1 (hypot 1 x))) (* (* (/ x (hypot 1 x)) (/ x (hypot 1 x))) (/ x (hypot 1 x))))
398.0ms	(/ (* (* x x) x) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x)))
351.0ms	(- (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))
333.0ms	(- (* 1/2 (/ 1 (pow x 3))) (+ (* 3/8 (/ 1 (pow x 5))) (/ 1 x)))
297.0ms	(- (+ x (pow x 5)) (pow x 3))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample616.0ms

Algorithm

intervals

Results

501.0ms

8000×

body

valid