Details

sample390.0ms

Algorithm

intervals

Results

215.0ms	240×	body	10240	exit
48.0ms	439×	body	80	nan
28.0ms	235×	body	80	valid
6.0ms	24×	body	160	valid

simplify1.4s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

61.0ms	(sqrt (+ (exp x) 1))
18.0ms	(+ (exp x) 1)

simplify1.5s

Counts: 45 → 45

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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

14.0ms	(sqrt (+ 1 (exp x)))
10.0ms	(+ 1 (exp x))

series50.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

37.0ms	(sqrt (+ 1 (exp x)))
13.0ms	(+ 1 (exp x))

simplify1.3s

Counts: 46 → 46

prune412.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (expm1 (+ x x)) (expm1 x))
0.0b	(sqrt (/ (expm1 (+ x x)) (expm1 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`times-frac`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`sqrt-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `expm1-udef`

Counts

2 → 59

Calls

2 calls:

Slowest

4.0ms	(/ (expm1 (+ x x)) (expm1 x))
2.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
58.0ms	(/ (expm1 (+ x x)) (expm1 x))

simplify1.6s

Counts: 65 → 65

prune638.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

5.2b	(- 1 (exp x))
0.0b	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
0.0b	(fma (exp x) (exp x) (- 1 (exp x)))
0.0b	(sqrt (fma (exp x) (exp x) (- 1 (exp x))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
55×	`sqrt-prod`
46×	`add-sqr-sqrt`
42×	`times-frac` `add-cube-cbrt`
9×	`prod-diff`
7×	`distribute-lft-out` `associate-/l*`
6×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`sqrt-div` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `diff-log` `div-exp` `flip-+` `fma-udef` `div-inv` `flip--` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

Slowest

122.0ms	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
7.0ms	(- 1 (exp x))
1.0ms	(sqrt (fma (exp x) (exp x) (- 1 (exp x))))
0.0ms	(fma (exp x) (exp x) (- 1 (exp x)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
63.0ms	(sqrt (fma (exp x) (exp x) (- 1 (exp x))))
39.0ms	(fma (exp x) (exp x) (- 1 (exp x)))
16.0ms	(- 1 (exp x))

simplify1.2s

Counts: 142 → 142

prune1.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample10.3s

Algorithm

intervals

Results

6.3s	6642×	body	10240	exit
1.9s	12610×	body	80	nan
1.4s	7420×	body	80	valid
206.0ms	702×	body	160	valid