Details

sample65.0ms

Algorithm

intervals

Results

39.0ms	91×	body	10240	exit
10.0ms	261×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
62.0ms	(log (+ 1.0 (exp x)))

simplify96.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	128	169
1	337	152
2	897	151
3	3150	150
4	5002	150

prune75.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
0.9b	(log (sqrt (+ 1.0 (exp x))))
0.9b	(log (sqrt (+ 1.0 (exp x))))

rewrite18.0ms

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-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

5.0ms	(sqrt (+ 1.0 (exp x)))
5.0ms	(sqrt (+ 1.0 (exp x)))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ 1.0 (exp x)))
33.0ms	(sqrt (+ 1.0 (exp x)))
117.0ms	(log (sqrt (+ 1.0 (exp x))))
118.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	162	564
1	453	528
2	1549	508
3	5001	496

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

11.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms	(* 1/2 (pow x 2))
9.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
11.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
26.0ms	(* 1/2 (pow x 2))
17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
53.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
0.4b	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
8.0b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`pow1` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
5×	`log-pow`
4×	`exp-prod` `exp-sum` `add-cbrt-cube`
3×	`sum-log`
2×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
1×	`+-commutative` `associate-+r+` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
1.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
2.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
9.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
105.0ms	(log (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
55.0ms	(exp (log (log (+ (* 1/2 (pow x 2)) (+ x 2.0)))))
54.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	351	653
1	1333	581
2	5001	552

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes33.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2534×	body	10240	exit
325.0ms	8444×	body	80	valid
72.0ms	265×	body	640	valid
66.0ms	126×	body	1280	valid
31.0ms	185×	body	320	valid
13.0ms	101×	body	160	valid