Details

sample69.0ms

Algorithm

intervals

Results

42.0ms	105×	body	10240	exit
10.0ms	275×	body	80	valid
2.0ms	4×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	3×	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: 0.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.7b	(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)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ 1.0 (exp x))
64.0ms	(log (+ 1.0 (exp x)))

simplify95.0ms

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

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

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)))
6.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
6.3b	(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)))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
18.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (exp x) 3)
89.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
42.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
105.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (66.0ms)

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

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.8b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite33.0ms

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:

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

series174.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/2 (pow x 2))
78.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
54.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (38.0ms)

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

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
0.0b	(* x (+ 0.5 (* x 0.25)))
0.0b	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
6.4b	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
10×	`diff-log`
9×	`add-sqr-sqrt` `associate--l+`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `flip--` `associate--r+`
4×	`frac-sub`
3×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`associate--r-`
1×	`associate--l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

166.0ms	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
6.0ms	(* x (+ 0.5 (* x 0.25)))
8.0ms	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
19.0ms	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))) (* x y))
67.0ms	(* x (+ 0.5 (* x 0.25)))
283.0ms	(- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0))
53.0ms	(- (* x (+ 0.5 (* x 0.25))) (- (* 1/2 (/ (pow x 2) (pow 2.0 2))) (log 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	490	1052
1	2222	1006
2	5001	1004

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.4b

regimes39.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2497×	body	10240	exit
314.0ms	8451×	body	80	valid
74.0ms	148×	body	1280	valid
70.0ms	268×	body	640	valid
30.0ms	192×	body	320	valid
10.0ms	105×	body	160	valid