Details

sample658.0ms

Algorithm

intervals

Results

345.0ms	229×	body	10240	exit
123.0ms	435×	body	80	nan
36.0ms	241×	body	80	valid
6.0ms	20×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(sqrt (+ (exp x) 1))
15.0ms	(+ (exp x) 1)

simplify1.2s

Counts: 45 → 45

prune391.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(log1p (exp x))
0.3b	(sqrt (exp (log1p (exp x))))
0.0b	(exp (log1p (exp x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

Slowest

3.0ms	(sqrt (exp (log1p (exp x))))
2.0ms	(exp (log1p (exp x)))
0.0ms	(log1p (exp x))

series283.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

116.0ms	(sqrt (exp (log1p (exp x))))
92.0ms	(exp (log1p (exp x)))
75.0ms	(log1p (exp x))

simplify934.0ms

Counts: 55 → 55

prune460.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (+ (exp x) 1))
0.1b	(log (sqrt (+ (exp x) 1)))
0.0b	(exp (log (sqrt (+ (exp x) 1))))
0.0b	(+ (exp x) 1)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

14.0ms	(+ (exp x) 1)
11.0ms	(exp (log (sqrt (+ (exp x) 1))))
9.0ms	(sqrt (+ (exp x) 1))
6.0ms	(log (sqrt (+ (exp x) 1)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(log (sqrt (+ (exp x) 1)))
59.0ms	(sqrt (+ (exp x) 1))
42.0ms	(exp (log (sqrt (+ (exp x) 1))))
10.0ms	(+ (exp x) 1)

simplify2.3s

Counts: 100 → 100

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

4.1b	(- 1 (exp x))
0.3b	(sqrt (/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x)))))
0.2b	(fma (exp x) (exp x) (- 1 (exp x)))
0.2b	(/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x))))

rewrite544.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

Slowest

362.0ms	(/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x))))
174.0ms	(sqrt (/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x)))))
7.0ms	(- 1 (exp x))
0.0ms	(fma (exp x) (exp x) (- 1 (exp x)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(sqrt (/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x)))))
72.0ms	(/ (+ (exp (+ x (+ x x))) 1) (fma (exp x) (exp x) (- 1 (exp x))))
44.0ms	(fma (exp x) (exp x) (- 1 (exp x)))
16.0ms	(- 1 (exp x))

simplify1.3s

Counts: 120 → 120

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.1s

Algorithm

intervals

Results

6.3s	6751×	body	10240	exit
2.0s	12680×	body	80	nan
1.1s	7468×	body	80	valid
230.0ms	674×	body	160	valid