Details

sample136.0ms

Algorithm

intervals

Results

66.0ms	64×	body	10240	exit
43.0ms	270×	body	80	valid
4.0ms	7×	body	640	valid
2.0ms	1×	body	1280	valid
1.0ms	5×	body	160	valid
1.0ms	3×	body	320	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

10.0ms	(+ 1 (exp x))
15.0ms	(- (log (+ 1 (exp x))) (* x y))
4.0ms	(log (+ 1 (exp x)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1 (exp x))
88.0ms	(- (log (+ 1 (exp x))) (* x y))
83.0ms	(log (+ 1 (exp x)))

simplify3.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5025
4	4399
3	1486
2	480
1	194
0	84

prune353.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (+ 1 (exp x)))) (* x y)))
0.7b	(log (sqrt (+ 1 (exp x))))
0.7b	(log (sqrt (+ 1 (exp x))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

9.0ms	(+ 1 (exp x))
45.0ms	(+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (+ 1 (exp x)))) (* x y)))
9.0ms	(log (sqrt (+ 1 (exp x))))
10.0ms	(log (sqrt (+ 1 (exp x))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
216.0ms	(+ (log (sqrt (+ 1 (exp x)))) (- (log (sqrt (+ 1 (exp x)))) (* x y)))
179.0ms	(log (sqrt (+ 1 (exp x))))
133.0ms	(log (sqrt (+ 1 (exp x))))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5004
3	3235
2	882
1	288
0	125

prune490.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
0.0b	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))
0.0b	(* x (+ (* x 1/8) 1/2))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-+r+` `log-prod` `associate-r` `associate-l` `insert-posit16`
2×	`distribute-rgt-in` `associate-+l+` `sum-log` `distribute-lft-in` `flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

25.0ms	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
136.0ms	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))
35.0ms	(* x (+ (* x 1/8) 1/2))

series180.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
52.0ms	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))
90.0ms	(* x (+ (* x 1/8) 1/2))

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	1188
1	319
0	109

prune317.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(/ (+ 1 (exp x)) (exp (* y x)))
0.0b	(exp (* y x))
1.5b	(log (/ (+ 1 (exp x)) (exp (* y x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
8×	`distribute-lft-out` `add-log-exp`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `log-pow` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

5.0ms	(+ 1 (exp x))
30.0ms	(/ (+ 1 (exp x)) (exp (* y x)))
8.0ms	(exp (* y x))
11.0ms	(log (/ (+ 1 (exp x)) (exp (* y x))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1 (exp x))
30.0ms	(/ (+ 1 (exp x)) (exp (* y x)))
18.0ms	(exp (* y x))
47.0ms	(log (/ (+ 1 (exp x)) (exp (* y x))))

simplify2.0s

Counts

98 → 98

Iterations

Iter	Nodes
done	5026
3	2368
2	669
1	285
0	126

prune480.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	2443×	body	10240	exit
1.3s	8407×	body	80	valid
158.0ms	254×	body	640	valid
151.0ms	141×	body	1280	valid
71.0ms	206×	body	320	valid
18.0ms	80×	body	160	valid