Details

sample114.0ms

Algorithm

intervals

Results

70.0ms	80×	body	10240	exit
21.0ms	269×	body	80	valid
4.0ms	11×	body	640	valid
3.0ms	3×	body	1280	valid
2.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	19
2	19
1	12
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))
0.2b	(log (+ 1 (exp x)))

rewrite31.0ms

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:

16.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(+ 1 (exp x))
7.0ms	(log (+ 1 (exp x)))

series111.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (log (+ 1 (exp x))) (* x y))
11.0ms	(+ 1 (exp x))
54.0ms	(log (+ 1 (exp x)))

simplify1.9s

Counts

57 → 57

Iterations

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

prune270.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

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:

69.0ms	(- (+ (* x (+ 1/2 (* x 1/8))) (log 2)) (* x y))
19.0ms	(+ (* x (+ 1/2 (* x 1/8))) (log 2))
22.0ms	(* x (+ 1/2 (* x 1/8)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (+ (* x (+ 1/2 (* x 1/8))) (log 2)) (* x y))
51.0ms	(+ (* x (+ 1/2 (* x 1/8))) (log 2))
67.0ms	(* x (+ 1/2 (* x 1/8)))

simplify2.2s

Counts

64 → 64

Iterations

Iter	Nodes
3	5403
2	1014
1	301
0	109

prune248.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	2425×	body	10240	exit
914.0ms	8347×	body	80	valid
551.0ms	154×	body	1280	valid
180.0ms	279×	body	640	valid
97.0ms	194×	body	320	valid
22.0ms	107×	body	160	valid