Details

sample50.0ms

Algorithm

intervals

Results

36.0ms

495×

body

valid

simplify225.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

224.0ms

(exp (- (- 1 (* x x))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (fma x x -1))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`exp-prod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `exp-sum` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `rem-exp-log`

Counts

1 → 15

Calls

1 calls:

Slowest

4.0ms

(exp (fma x x -1))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

(exp (fma x x -1))

simplify433.0ms

Counts

8 → 18

Calls

8 calls:

Slowest

310.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
94.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
10.0ms	(exp (sqrt (fma x x -1)))
6.0ms	(exp (* x x))
5.0ms	(exp (fma x x -1))

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1))))
0.0b	(exp (fma x x -1))
0.0b	(exp (fma x x -1))
0.0b	(sqrt (exp (fma x x -1)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`sqrt-pow1`
27×	`exp-prod`
26×	`sqrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`pow1`
9×	`pow1/2` `swap-sqr`
8×	`pow-prod-up`
7×	`associate-r` `associate-l` `exp-sum` `fma-udef`
6×	`add-cbrt-cube` `pow-prod-down` `add-exp-log` `pow-sqr` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`rem-exp-log`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

Slowest

16.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1))))
5.0ms	(exp (fma x x -1))
3.0ms	(sqrt (exp (fma x x -1)))
2.0ms	(exp (fma x x -1))

series184.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(sqrt (exp (fma x x -1)))
40.0ms	(exp (fma x x -1))
39.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1))))
39.0ms	(exp (fma x x -1))

simplify7.1s

Counts

113 → 126

Calls

113 calls:

Slowest

340.0ms	(+ (* 1/8 (* (pow x 4) (sqrt (exp -1)))) (+ (* 1/2 (* (pow x 2) (sqrt (exp -1)))) (sqrt (exp -1))))
325.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
312.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
312.0ms	(* (* (* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1)))) (sqrt (exp (fma x x -1)))) (* (* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1)))) (sqrt (exp (fma x x -1)))))
299.0ms	(* (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

15960×

body

valid