Details

sample557.0ms

Algorithm

intervals

Results

274.0ms	201×	body	10240	exit
52.0ms	375×	body	80	nan
37.0ms	234×	body	80	valid
7.0ms	25×	body	160	valid

simplify381.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

380.0ms

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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

11.0ms	(sqrt (+ (exp x) 1))
7.0ms	(+ (exp x) 1)

series63.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

50.0ms	(sqrt (+ (exp x) 1))
13.0ms	(+ (exp x) 1)

simplify1.2s

Counts

20 → 45

Calls

20 calls:

Slowest

505.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
367.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
119.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
59.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
20.0ms	(sqrt (* (cbrt (+ (exp x) 1)) (cbrt (+ (exp x) 1))))

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-pow1` `add-cube-cbrt`
3×	`pow1` `exp-prod` `sqrt-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `hypot-udef` `pow1/2`

Counts

2 → 30

Calls

2 calls:

Slowest

5.0ms	(sqrt (exp x))
0.0ms	(hypot (sqrt (exp x)) 1)

series141.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

118.0ms	(hypot (sqrt (exp x)) 1)
22.0ms	(sqrt (exp x))

simplify560.0ms

Counts

14 → 36

Calls

14 calls:

Slowest

412.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
81.0ms	(+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1))
15.0ms	(sqrt (+ (exp x) 1))
14.0ms	(exp (* (cbrt x) (cbrt x)))
8.0ms	(sqrt (+ (exp x) 1))

prune296.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (exp x) 1) (+ (exp x) 1))
0.0b	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
0.0b	(+ (exp x) 1)
0.0b	(+ (exp x) 1)

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
28×	`*-un-lft-identity`
26×	`cbrt-div`
16×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-*r/` `add-cube-cbrt`
8×	`distribute-lft-out` `add-log-exp`
6×	`fma-def` `add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

Slowest

98.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
76.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
15.0ms	(+ (exp x) 1)
14.0ms	(+ (exp x) 1)

series54.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

28.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
9.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
9.0ms	(+ (exp x) 1)
9.0ms	(+ (exp x) 1)

simplify16.1s

Counts

90 → 130

Calls

90 calls:

Slowest

859.0ms	(cbrt (* (* (+ (exp x) 1) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1))))
725.0ms	(cbrt (* (* (+ (pow (exp x) 3) (pow 1 3)) (+ (exp x) 1)) (+ (pow (exp x) 3) (pow 1 3))))
652.0ms	(* (+ (pow (exp x) 3) (pow 1 3)) (- (* (exp x) (exp x)) (* 1 1)))
633.0ms	(cbrt (* (* (+ (exp x) 1) (+ (pow (exp x) 3) (pow 1 3))) (- (* (exp x) (exp x)) (* 1 1))))
611.0ms	(cbrt (* (* (+ (exp x) 1) (+ (pow (exp x) 3) (pow 1 3))) (+ (exp x) 1)))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.9s	6492×	body	10240	exit
1.7s	12265×	body	80	nan
1.4s	7411×	body	80	valid
168.0ms	722×	body	160	valid