Details

sample32.0ms

Algorithm

intervals

Results

24.0ms

504×

body

valid

simplify197.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

197.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

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

2.0ms

(exp (fma x x -1))

series34.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

34.0ms

(exp (fma x x -1))

simplify400.0ms

Counts

8 → 18

Calls

8 calls:

Slowest

291.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
69.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
19.0ms	(exp (sqrt (fma x x -1)))
6.0ms	(exp (* x x))
5.0ms	(exp (fma x x -1))

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(log1p (exp (fma x x -1)))
0.0b	(exp (fma x x -1))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

Slowest

2.0ms	(exp (fma x x -1))
0.0ms	(log1p (exp (fma x x -1)))
0.0ms	(expm1 (log1p (exp (fma x x -1))))

series467.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

262.0ms	(expm1 (log1p (exp (fma x x -1))))
181.0ms	(log1p (exp (fma x x -1)))
24.0ms	(exp (fma x x -1))

simplify972.0ms

Counts

16 → 48

Calls

16 calls:

Slowest

269.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
218.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
188.0ms	(- (+ (* 1/2 (/ (* (pow x 4) (exp -1)) (+ (exp -1) 1))) (+ (/ (* (pow x 2) (exp -1)) (+ (exp -1) 1)) (log (+ (exp -1) 1)))) (* 1/2 (/ (* (pow x 4) (pow (exp -1) 2)) (pow (+ (exp -1) 1) 2))))
89.0ms	(log (+ (exp (fma x x -1)) 1))
83.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

prune473.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

2 → 34

Calls

2 calls:

Slowest

34.0ms	(* (exp (* x x)) (exp -1))
8.0ms	(exp (* x x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(* (exp (* x x)) (exp -1))
20.0ms	(exp (* x x))

simplify1.1s

Counts

19 → 40

Calls

19 calls:

Slowest

275.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
248.0ms	(* (* (* (exp (* x x)) (exp (* x x))) (exp (* x x))) (* (* (exp -1) (exp -1)) (exp -1)))
127.0ms	(* (sqrt (exp (* x x))) (sqrt (exp -1)))
80.0ms	(* (exp (* x x)) (exp -1))
78.0ms	(* (sqrt (exp (* x x))) (sqrt (exp -1)))

prune292.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

1.5b	(cbrt (exp (+ (fma x (+ (+ x x) x) -2) -1)))
0.0b	(exp (+ (fma x (+ (+ x x) x) -2) -1))
0.0b	(+ (fma x (+ (+ x x) x) -2) -1)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-log-exp`
6×	`add-cube-cbrt`
5×	`exp-prod`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`difference-of-sqr--1` `sum-log` `exp-sum` `distribute-lft-out` `rem-exp-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow1/3` `flip-+` `fma-udef`

Counts

3 → 53

Calls

3 calls:

Slowest

10.0ms	(cbrt (exp (+ (fma x (+ (+ x x) x) -2) -1)))
10.0ms	(exp (+ (fma x (+ (+ x x) x) -2) -1))
8.0ms	(+ (fma x (+ (+ x x) x) -2) -1)

series358.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

203.0ms	(cbrt (exp (+ (fma x (+ (+ x x) x) -2) -1)))
106.0ms	(+ (fma x (+ (+ x x) x) -2) -1)
49.0ms	(exp (+ (fma x (+ (+ x x) x) -2) -1))

simplify3.9s

Counts

27 → 62

Calls

27 calls:

Slowest

412.0ms	(exp (* 1/3 (- (fma x (* 3 x) -2) 1)))
384.0ms	(exp (* 1/3 (- (fma x (* 3 x) -2) 1)))
353.0ms	(+ (* 9/2 (* (exp -3) (pow x 4))) (+ (exp -3) (* 3 (* (exp -3) (pow x 2)))))
274.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
268.0ms	(* (exp (fma x (+ (+ x x) x) -2)) (exp -1))

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

15985×

body

valid