Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	291×	body	80	valid
4.0ms	119×	body	80	overflowed
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	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: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

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)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (log (+ 1.0 (exp x))) (* x y))
12.0ms	(+ 1.0 (exp x))
58.0ms	(log (+ 1.0 (exp x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (43.0ms)

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

prune125.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
4.3b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite43.0ms

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)
15.0ms	(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)
88.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
43.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (52.0ms)

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

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
0.8b	(log (sqrt (+ 1.0 (exp x))))
0.8b	(log (sqrt (+ 1.0 (exp x))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
25×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `associate-+r+`
8×	`add-log-exp`
7×	`associate-+l+` `associate--l+` `log-pow` `distribute-lft-out`
6×	`add-exp-log` `log-div` `sqrt-div`
5×	`flip3-+` `flip-+`
4×	`add-cbrt-cube`
3×	`sum-log`
2×	`+-commutative` `associate-+l-` `sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`associate-+r-` `sub-neg` `diff-log`

Counts

4 → 85

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
18.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
3.0ms	(log (sqrt (+ 1.0 (exp x))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ 1.0 (exp x))
147.0ms	(+ (log (sqrt (+ 1.0 (exp x)))) (- (log (sqrt (+ 1.0 (exp x)))) (* x y)))
104.0ms	(log (sqrt (+ 1.0 (exp x))))
110.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify78.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	281	835
1	838	761
2	2861	717
3	5002	686

prune253.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b 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

sample690.0ms

Algorithm

intervals

Results

338.0ms	9171×	body	80	valid
117.0ms	3314×	body	80	overflowed
8.0ms	14×	body	1280	valid
2.0ms	10×	body	320	valid
1.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid