Details

sample387.0ms

Algorithm

intervals

Results

241.0ms	187×	body	10240	exit
46.0ms	392×	body	80	nan
29.0ms	234×	body	80	valid
8.0ms	26×	body	160	valid

simplify484.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

484.0ms

(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(sqrt (+ (exp x) 1))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

Slowest

19.0ms	(sqrt (+ (exp x) 1))
19.0ms	(+ (exp x) 1)

series96.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

69.0ms	(sqrt (+ (exp x) 1))
27.0ms	(+ (exp x) 1)

simplify850.0ms

Counts

20 → 45

Calls

20 calls:

Slowest

432.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
111.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
79.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
75.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
21.0ms	(sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(sqrt (+ 1 (exp x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `hypot-1-def`

Counts

2 → 40

Calls

2 calls:

Slowest

7.0ms	(sqrt (+ 1 (exp x)))
5.0ms	(+ 1 (exp x))

series65.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(sqrt (+ 1 (exp x)))
9.0ms	(+ 1 (exp x))

simplify768.0ms

Counts

19 → 46

Calls

19 calls:

Slowest

436.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
86.0ms	(sqrt (+ (pow 1 3) (pow (exp x) 3)))
74.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
19.0ms	(sqrt (- (* 1 1) (* (exp x) (exp x))))
18.0ms	(sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (exp x))
0.1b	(cbrt (exp x))
0.1b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

12.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
126.0ms	(cbrt (exp x))
118.0ms	(cbrt (exp x))
94.0ms	(cbrt (exp x))

simplify836.0ms

Counts

65 → 97

Calls

65 calls:

Slowest

95.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
92.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
81.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
79.0ms	(* (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))) (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))))
68.0ms	(+ (* 2/3 x) (+ (* 2/9 (pow x 2)) 1))

prune961.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (exp x))
0.1b	(cbrt (exp x))
0.1b	(cbrt (exp x))
0.1b	(cbrt (exp x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(cbrt (exp x))
114.0ms	(cbrt (exp x))
109.0ms	(cbrt (exp x))
108.0ms	(cbrt (exp x))

simplify485.0ms

Counts

24 → 68

Calls

24 calls:

Slowest

100.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
71.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
69.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
67.0ms	(+ (* 1/3 x) (+ (* 1/18 (pow x 2)) 1))
20.0ms	(exp (* 1/3 x))

prune851.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.2s	6420×	body	10240	exit
1.6s	12573×	body	80	nan
1.6s	7430×	body	80	valid
243.0ms	696×	body	160	valid