Details

sample30.0ms

Algorithm

intervals

Results

21.0ms

480×

body

valid

simplify163.0ms

Calls

1 calls:

Slowest

163.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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`

Calls

1 calls:

Slowest

2.0ms

(exp (fma x x -1))

series23.0ms

Calls

1 calls:

Slowest

23.0ms

(exp (fma x x -1))

simplify452.0ms

Calls

8 calls:

Slowest

324.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
75.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
18.0ms	(exp (sqrt (fma x x -1)))
12.0ms	(exp (* x x))
9.0ms	(exp (fma x x -1))

prune127.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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`

Calls

2 calls:

Slowest

35.0ms	(* (exp (* x x)) (exp -1))
8.0ms	(exp (* x x))

series120.0ms

Calls

2 calls:

Slowest

94.0ms	(* (exp (* x x)) (exp -1))
26.0ms	(exp (* x x))

simplify1.1s

Calls

19 calls:

Slowest

247.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
191.0ms	(* (* (* (exp (* x x)) (exp (* x x))) (exp (* x x))) (* (* (exp -1) (exp -1)) (exp -1)))
120.0ms	(* (sqrt (exp (* x x))) (sqrt (exp -1)))
119.0ms	(* (sqrt (exp (* x x))) (sqrt (exp -1)))
104.0ms	(* (cbrt (exp (* x x))) (cbrt (exp (* x x))))

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

15.0ms	(* (pow (exp x) x) (exp -1))
4.0ms	(pow (exp x) x)

series160.0ms

Calls

2 calls:

Slowest

101.0ms	(* (pow (exp x) x) (exp -1))
59.0ms	(pow (exp x) x)

simplify1.9s

Calls

35 calls:

Slowest

321.0ms	(* (* (* (pow (exp x) x) (pow (exp x) x)) (pow (exp x) x)) (* (* (exp -1) (exp -1)) (exp -1)))
281.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
147.0ms	(+ (log (pow (exp x) x)) -1)
137.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp -1)))
125.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp -1)))

prune401.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `prod-exp`
23×	`add-exp-log`
20×	`associate-l`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`unpow-prod-down`
13×	`sqrt-prod`
11×	`add-cbrt-cube`
8×	`pow-to-exp` `sqrt-pow1` `pow-exp`
6×	`pow1` `exp-prod`
4×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative`

Calls

4 calls:

Slowest

71.0ms	(* (pow (sqrt (exp x)) x) (* (pow (sqrt (exp x)) x) (exp -1)))
32.0ms	(* (pow (sqrt (exp x)) x) (exp -1))
9.0ms	(sqrt (exp x))
5.0ms	(sqrt (exp x))

series306.0ms

Calls

4 calls:

Slowest

168.0ms	(* (pow (sqrt (exp x)) x) (* (pow (sqrt (exp x)) x) (exp -1)))
105.0ms	(* (pow (sqrt (exp x)) x) (exp -1))
20.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))

simplify9.4s

Calls

76 calls:

Slowest

862.0ms	(* (pow (sqrt (sqrt (exp x))) x) (sqrt (exp -1)))
533.0ms	(+ (log (pow (sqrt (exp x)) x)) -1)
481.0ms	(* (pow (sqrt (sqrt (exp x))) x) (sqrt (exp -1)))
472.0ms	(* (pow (sqrt (sqrt (exp x))) x) (sqrt (exp -1)))
467.0ms	(* (pow (sqrt (sqrt (exp x))) x) (sqrt (exp -1)))

prune1.4s

Pruning

3 alts after pruning (1 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

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

16057×

body

valid