Details

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify15.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize14.0ms

Local error

Found 1 expressions with local error:

15.5b

(/ 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))

series99.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

99.0ms

(/ x (fma x x 1))

simplify2.5s

Counts: 33 → 33

prune303.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

15.4b	(sqrt (fma x x 1))
15.4b	(sqrt (fma x x 1))
0.0b	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
0.0b	(/ x (sqrt (fma x x 1)))

rewrite35.0ms

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

14.0ms	(/ x (sqrt (fma x x 1)))
10.0ms	(/ (/ 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))

series315.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(/ x (sqrt (fma x x 1)))
71.0ms	(sqrt (fma x x 1))
70.0ms	(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
47.0ms	(sqrt (fma x x 1))

simplify896.0ms

Counts: 264 → 264

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
239×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
32×	`add-exp-log`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
6×	`associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`hypot-udef` `pow-flip` `inv-pow`

Counts

4 → 321

Calls

4 calls:

Slowest

17.0ms	(/ 1 (/ (hypot x 1) (/ x (hypot x 1))))
12.0ms	(/ (hypot x 1) (/ x (hypot x 1)))
12.0ms	(/ x (hypot x 1))
0.0ms	(hypot x 1)

series578.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

286.0ms	(/ (hypot x 1) (/ x (hypot x 1)))
120.0ms	(/ 1 (/ (hypot x 1) (/ x (hypot x 1))))
97.0ms	(/ x (hypot x 1))
75.0ms	(hypot x 1)

simplify561.0ms

Counts: 333 → 333

prune2.6s

Pruning

3 alts after pruning (3 fresh and 0 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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
15×	`times-frac`
13×	`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` `fma-def` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `pow-flip` `inv-pow`

Counts

2 → 63

Calls

2 calls:

Slowest

11.0ms	(/ 1 (+ x (/ 1 x)))
6.0ms	(+ x (/ 1 x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

45.0ms	(+ x (/ 1 x))
33.0ms	(/ 1 (+ x (/ 1 x)))

simplify3.7s

Counts: 69 → 69

prune389.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample635.0ms

Algorithm

intervals

Results

530.0ms

8000×

body

valid