Details

sample53.0ms

Algorithm

intervals

Results

28.0ms	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

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

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)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
66.0ms	(log (+ 1.0 (exp x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340

prune164.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

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)))))

rewrite41.0ms

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×	`expm1-log1p-u` `log-div` `pow-pow` `log1p-expm1-u`
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--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

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)))
18.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
90.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
48.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	398	699
1	1683	631
2	5001	622

prune330.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
6.8b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
4×	`add-exp-log` `fma-neg` `prod-diff` `add-log-exp`
3×	`expm1-log1p-u` `associate--l+` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `fma-udef`

Counts

3 → 49

Calls

3 calls:

4.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
0.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
18.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
56.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	229	423
1	763	380
2	3267	376
3	5001	356

prune161.0ms

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod` `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` `expm1-log1p-u` `log-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
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 → 86

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
7.0ms	(log (+ (exp x) 1.0))
4.0ms	(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)
63.0ms	(log (+ (exp x) 1.0))
134.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
56.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	393	758
1	1524	700
2	5001	690

prune229.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes86.0ms

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

sample1.9s

Algorithm

intervals

Results

1.0s	2505×	body	10240	exit
473.0ms	8415×	body	80	valid
70.0ms	141×	body	1280	valid
67.0ms	252×	body	640	valid
28.0ms	176×	body	320	valid
10.0ms	103×	body	160	valid