Details

sample119.0ms

Algorithm

intervals

Results

67.0ms	72×	body	10240	exit
28.0ms	275×	body	80	valid
4.0ms	6×	body	640	valid
3.0ms	6×	body	320	valid
2.0ms	1×	body	1280	valid
1.0ms	4×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	19
2	19
1	12
0	8

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.3b	(log (+ 1 (exp x)))

rewrite36.0ms

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:

17.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))
9.0ms	(log (+ 1 (exp x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))
77.0ms	(log (+ 1 (exp x)))

simplify1.7s

Counts

57 → 57

Iterations

Iter	Nodes
4	3082
3	1103
2	435
1	189
0	84

prune602.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
1.0b	(log (sqrt (+ 1 (exp x))))
1.0b	(log (sqrt (+ 1 (exp x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ 1 (exp x))
7.0ms	(+ 1 (exp x))
4.0ms	(log (sqrt (+ 1 (exp x))))
5.0ms	(log (sqrt (+ 1 (exp x))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ 1 (exp x))
14.0ms	(+ 1 (exp x))
137.0ms	(log (sqrt (+ 1 (exp x))))
144.0ms	(log (sqrt (+ 1 (exp x))))

simplify3.0s

Counts

80 → 80

Iterations

Iter	Nodes
5	3272
4	1297
3	676
2	347
1	155
0	80

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ 1 (exp x)))
0.7b	(cbrt (+ 1 (exp x)))
0.7b	(cbrt (+ 1 (exp x)))
1.0b	(log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `pow1`
9×	`flip3-+` `pow1/3` `log-pow` `flip-+`
8×	`log-div`
7×	`add-sqr-sqrt` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`rem-log-exp` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `prod-exp`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (+ 1 (exp x)))
3.0ms	(cbrt (+ 1 (exp x)))
3.0ms	(cbrt (+ 1 (exp x)))
14.0ms	(log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (+ 1 (exp x)))
120.0ms	(cbrt (+ 1 (exp x)))
144.0ms	(cbrt (+ 1 (exp x)))
254.0ms	(log (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
4	2253
3	862
2	388
1	188
0	95

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* x (* x 1/2)))
0.0b	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
6.8b	(log (+ 2 (+ x (* x (* x 1/2)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-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`
2×	`associate--l-` `distribute-lft-out`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

6.0ms	(+ x (* x (* x 1/2)))
12.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
7.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

series198.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ x (* x (* x 1/2)))
70.0ms	(- (log (+ 2 (+ x (* x (* x 1/2))))) (* x y))
38.0ms	(log (+ 2 (+ x (* x (* x 1/2)))))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
3	3030
2	909
1	292
0	115

prune603.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.4s	2504×	body	10240	exit
1.3s	8415×	body	80	valid
142.0ms	117×	body	1280	valid
136.0ms	258×	body	640	valid
60.0ms	176×	body	320	valid
25.0ms	116×	body	160	valid