Details

sample32.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize14.0ms

Local error

Found 1 expressions with local error:

15.7b

(/ 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))

series86.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

86.0ms

(/ x (fma x x 1))

simplify1.5s

Counts

28 → 33

Calls

28 calls:

Slowest

323.0ms	(- (+ x (pow x 5)) (pow x 3))
249.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
245.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
196.0ms	(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
72.0ms	(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune298.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

15.6b	(sqrt (fma x x 1))
15.6b	(sqrt (fma x x 1))
0.0b	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
144×	`add-sqr-sqrt`
142×	`*-un-lft-identity` `add-cube-cbrt`
138×	`sqrt-prod`
22×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log` `div-inv`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

3 → 210

Calls

3 calls:

Slowest

16.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
1.0ms	(sqrt (fma x x 1))
1.0ms	(sqrt (fma x x 1))

series198.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

77.0ms	(sqrt (fma x x 1))
61.0ms	(sqrt (fma x x 1))
61.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))

simplify13.9s

Counts

313 → 219

Calls

313 calls:

Slowest

483.0ms	(/ (/ (* (* 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))))
350.0ms	(/ (* (* (/ 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))))
306.0ms	(- (+ x (pow x 5)) (pow x 3))
245.0ms	(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))
210.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

15.7b	(/ (fma x x 1) x)
0.1b	(/ 1 (/ (fma x x 1) x))

rewrite24.0ms

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

17.0ms	(/ 1 (/ (fma x x 1) x))
4.0ms	(/ (fma x x 1) x)

series212.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

128.0ms	(/ (fma x x 1) x)
84.0ms	(/ 1 (/ (fma x x 1) x))

simplify6.1s

Counts

130 → 115

Calls

130 calls:

Slowest

408.0ms	(/ (* (* 1 1) 1) (/ (* (* (fma x x 1) (fma x x 1)) (fma x x 1)) (* (* x x) x)))
354.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
297.0ms	(/ (* (* 1 1) 1) (* (* (/ (fma x x 1) x) (/ (fma x x 1) x)) (/ (fma x x 1) x)))
273.0ms	(/ (sqrt 1) (/ (* (cbrt (fma x x 1)) (cbrt (fma x x 1))) (* (cbrt x) (cbrt x))))
254.0ms	(- (+ x (pow x 5)) (pow x 3))

prune733.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 59

Calls

1 calls:

Slowest

33.0ms

(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))

series121.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

121.0ms

(* (/ 1 (hypot 1 x)) (/ x (hypot 1 x)))

simplify4.0s

Counts

56 → 62

Calls

56 calls:

Slowest

525.0ms	(* (* (* (/ 1 (hypot 1 x)) (/ 1 (hypot 1 x))) (/ 1 (hypot 1 x))) (* (* (/ x (hypot 1 x)) (/ x (hypot 1 x))) (/ x (hypot 1 x))))
301.0ms	(- (+ x (pow x 5)) (pow x 3))
280.0ms	(* (/ (* (* 1 1) 1) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))) (/ (* (* x x) x) (* (* (hypot 1 x) (hypot 1 x)) (hypot 1 x))))
245.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
211.0ms	(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune377.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample675.0ms

Algorithm

intervals

Results

555.0ms

8000×

body

valid