Details

sample144.0ms

Algorithm

intervals

Results

80.0ms	82×	body	10240	exit
31.0ms	284×	body	80	valid
7.0ms	6×	body	1280	valid
7.0ms	11×	body	640	valid
3.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	21
2	21
1	14
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

5.0ms	(+ 1 (exp x))
14.0ms	(- (log (+ 1 (exp x))) (* x y))
8.0ms	(log (+ 1 (exp x)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1 (exp x))
60.0ms	(- (log (+ 1 (exp x))) (* x y))
79.0ms	(log (+ 1 (exp x)))

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
4	3148
3	1064
2	410
1	190
0	84

prune575.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
1.4b	(log (sqrt (+ 1 (exp x))))
1.4b	(log (sqrt (+ 1 (exp x))))

rewrite42.0ms

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:

14.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))
8.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1 (exp x))
13.0ms	(+ 1 (exp x))
151.0ms	(log (sqrt (+ 1 (exp x))))
129.0ms	(log (sqrt (+ 1 (exp x))))

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
5	3215
4	1266
3	642
2	344
1	156
0	80

prune966.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2 (+ (* 1/2 (* x x)) x))
0.0b	(+ (* 1/2 (* x x)) x)
0.0b	(- (log (+ 2 (+ (* 1/2 (* x x)) x))) (* x y))
7.8b	(log (+ 2 (+ (* 1/2 (* x x)) x)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity` `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` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

4 → 62

Calls

4 calls:

50.0ms	(+ 2 (+ (* 1/2 (* x x)) x))
27.0ms	(+ (* 1/2 (* x x)) x)
36.0ms	(- (log (+ 2 (+ (* 1/2 (* x x)) x))) (* x y))
29.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ 2 (+ (* 1/2 (* x x)) x))
68.0ms	(+ (* 1/2 (* x x)) x)
68.0ms	(- (log (+ 2 (+ (* 1/2 (* x x)) x))) (* x y))
37.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
3	4526
2	1122
1	341
0	124

prune699.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize44.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (+ 2 (+ (* 1/2 (* x x)) x))))
7.8b	(log (+ 2 (+ (* 1/2 (* x x)) x)))
7.8b	(log (+ 2 (+ (* 1/2 (* x x)) x)))
7.8b	(log (+ 2 (+ (* 1/2 (* x x)) x)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (log (+ 2 (+ (* 1/2 (* x x)) x))))
29.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))
30.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))
31.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (log (+ 2 (+ (* 1/2 (* x x)) x))))
54.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))
34.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))
35.0ms	(log (+ 2 (+ (* 1/2 (* x x)) x)))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
3	3148
2	987
1	330
0	128

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes83.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.8s	2415×	body	10240	exit
912.0ms	8361×	body	80	valid
148.0ms	267×	body	640	valid
117.0ms	124×	body	1280	valid
72.0ms	196×	body	320	valid
27.0ms	114×	body	160	valid