Details

sample51.0ms

Algorithm

intervals

Results

27.0ms	70×	body	10240	exit
10.0ms	280×	body	80	valid
2.0ms	8×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	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: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.7b	(log (+ 1.0 (exp x)))

rewrite12.0ms

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` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
61.0ms	(log (+ 1.0 (exp x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune126.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.7b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.7b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.2b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`log-div` `pow-pow`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

2.0ms	(pow (exp x) 3)
12.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
19.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (exp x) 3)
90.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
46.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	363	641
1	1502	568
2	5001	560

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

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))
6.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite34.0ms

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:

10.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
5.0ms	(* 1/2 (pow x 2))
9.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
25.0ms	(* 1/2 (pow x 2))
17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
54.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

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

prune193.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.7b	(log (+ (exp x) 1.0))
0.7b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
12.9b	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div` `log-prod`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `cbrt-div` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
3.0ms	(log (+ (exp x) 1.0))
5.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
4.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series260.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (exp x) 1.0)
57.0ms	(log (+ (exp x) 1.0))
132.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
62.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	372	718
1	1445	666
2	5002	655

prune182.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes72.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

993.0ms	2505×	body	10240	exit
307.0ms	8415×	body	80	valid
69.0ms	141×	body	1280	valid
65.0ms	252×	body	640	valid
27.0ms	176×	body	320	valid
9.0ms	103×	body	160	valid