Details

sample136.0ms

Algorithm

intervals

Results

77.0ms	70×	body	10240	exit
29.0ms	274×	body	80	valid
6.0ms	9×	body	640	valid
3.0ms	3×	body	1280	valid
2.0ms	5×	body	320	valid
2.0ms	7×	body	160	valid

simplify39.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.9b	(log (+ 1 (exp x)))
0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

Slowest

27.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))
7.0ms	(log (+ 1 (exp x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

60.0ms	(- (log (+ 1 (exp x))) (* x y))
60.0ms	(log (+ 1 (exp x)))
9.0ms	(+ 1 (exp x))

simplify1.3s

Counts: 57 → 57

prune540.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (+ 1 (exp x)))
0.9b	(log (+ 1 (exp x)))
0.9b	(log (+ 1 (exp x)))
0.7b	(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`pow1` `log-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
9×	`add-exp-log` `log-pow`
6×	`log-div` `add-cbrt-cube` `swap-sqr`
5×	`distribute-lft-out`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

Slowest

25.0ms	(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
8.0ms	(log (+ 1 (exp x)))
7.0ms	(log (+ 1 (exp x)))
5.0ms	(log (+ 1 (exp x)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

95.0ms	(* (log (+ 1 (exp x))) (log (+ 1 (exp x))))
77.0ms	(log (+ 1 (exp x)))
64.0ms	(log (+ 1 (exp x)))
63.0ms	(log (+ 1 (exp x)))

simplify4.1s

Counts: 99 → 99

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
0.2b	(sqrt (+ 1 (exp x)))
0.2b	(sqrt (+ 1 (exp x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

Slowest

12.0ms	(sqrt (+ 1 (exp x)))
11.0ms	(sqrt (+ 1 (exp x)))
9.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(log (sqrt (+ 1 (exp x))))
110.0ms	(log (sqrt (+ 1 (exp x))))
45.0ms	(sqrt (+ 1 (exp x)))
37.0ms	(sqrt (+ 1 (exp x)))

simplify764.0ms

Counts: 88 → 88

prune958.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

7.1b	(log (+ 2 (+ x (* (* x 1/2) x))))
0.0b	(+ x (* (* x 1/2) x))
0.0b	(+ 2 (+ x (* (* x 1/2) x)))
0.0b	(- (log (+ 2 (+ x (* (* x 1/2) x)))) (* x y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-log-exp`
8×	`log-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`log-div` `sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
3×	`distribute-lft-out`
2×	`associate--l-` `+-commutative`
1×	`associate-+r+` `sub-neg` `distribute-rgt-out` `flip3--` `diff-log` `rem-log-exp` `distribute-rgt1-in` `log-pow` `flip--`

Counts

4 → 64

Calls

4 calls:

Slowest

12.0ms	(- (log (+ 2 (+ x (* (* x 1/2) x)))) (* x y))
10.0ms	(+ 2 (+ x (* (* x 1/2) x)))
7.0ms	(log (+ 2 (+ x (* (* x 1/2) x))))
5.0ms	(+ x (* (* x 1/2) x))

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(- (log (+ 2 (+ x (* (* x 1/2) x)))) (* x y))
90.0ms	(+ x (* (* x 1/2) x))
56.0ms	(log (+ 2 (+ x (* (* x 1/2) x))))
34.0ms	(+ 2 (+ x (* (* x 1/2) x)))

simplify1.5s

Counts: 76 → 76

prune682.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes72.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.2s	2526×	body	10240	exit
973.0ms	8408×	body	80	valid
140.0ms	141×	body	1280	valid
137.0ms	241×	body	640	valid
71.0ms	203×	body	320	valid
23.0ms	114×	body	160	valid