Details

sample298.0ms

Algorithm

intervals

Results

141.0ms	208×	body	10240	exit
30.0ms	388×	body	80	nan
19.0ms	240×	body	80	valid
4.0ms	20×	body	160	valid

simplify1.7s

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite26.0ms

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

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify1.1s

Counts: 45 → 45

prune386.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (exp x))
0.5b	(cbrt (exp x))
0.5b	(cbrt (exp x))
0.3b	(sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
1.0ms	(sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1))

series652.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

294.0ms	(sqrt (fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) 1))
143.0ms	(cbrt (exp x))
110.0ms	(cbrt (exp x))
105.0ms	(cbrt (exp x))

simplify699.0ms

Counts: 70 → 70

prune761.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (+ (exp x) 1))
0.3b	(sqrt (expm1 (log1p (+ (exp x) 1))))
0.0b	(expm1 (log1p (+ (exp x) 1)))
0.0b	(+ (exp x) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

Slowest

14.0ms	(+ (exp x) 1)
2.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
1.0ms	(log1p (+ (exp x) 1))
0.0ms	(expm1 (log1p (+ (exp x) 1)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

195.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
111.0ms	(expm1 (log1p (+ (exp x) 1)))
63.0ms	(log1p (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify1.1s

Counts: 70 → 70

prune653.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(sqrt (- (+ (exp x) 2) 1))
0.0b	(- (+ (exp x) 2) 1)
0.0b	(+ (exp x) 2)

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
10×	`add-log-exp`
8×	`sqrt-prod`
7×	`distribute-lft-out`
4×	`pow1` `fma-neg` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`sum-log` `flip3--` `sqrt-div` `diff-log` `difference-of-sqr-1` `flip--`
1×	`+-commutative` `rem-sqrt-square` `expm1-def` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `associate--l+` `flip-+`

Counts

3 → 80

Calls

3 calls:

Slowest

99.0ms	(- (+ (exp x) 2) 1)
88.0ms	(sqrt (- (+ (exp x) 2) 1))
14.0ms	(+ (exp x) 2)

series64.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

34.0ms	(sqrt (- (+ (exp x) 2) 1))
15.0ms	(+ (exp x) 2)
15.0ms	(- (+ (exp x) 2) 1)

simplify833.0ms

Counts: 89 → 89

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.8s	6635×	body	10240	exit
1.5s	12809×	body	80	nan
1.3s	7420×	body	80	valid
189.0ms	712×	body	160	valid