Details

sample57.0ms

Algorithm

intervals

Results

28.0ms	72×	body	10240	exit
12.0ms	275×	body	80	valid
4.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.8b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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	(+ 1.0 (exp x))
12.0ms	(- (log (+ 1.0 (exp x))) (* x y))
5.0ms	(log (+ 1.0 (exp x)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
54.0ms	(- (log (+ 1.0 (exp x))) (* x y))
57.0ms	(log (+ 1.0 (exp x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (54.0ms)

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

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`log-prod`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp` `hypot-def`

Counts

4 → 82

Calls

4 calls:

10.0ms	(sqrt (+ 1.0 (exp x)))
13.0ms	(sqrt (+ 1.0 (exp x)))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ 1.0 (exp x)))
27.0ms	(sqrt (+ 1.0 (exp x)))
97.0ms	(log (sqrt (+ 1.0 (exp x))))
96.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	172	598
1	486	558
2	1684	540
3	5002	522

prune262.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

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))
4.9b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite11.0ms

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:

8.0ms	(- (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)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
20.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
46.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (79.0ms)

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

prune151.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x))
0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
4.9b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite12.0ms

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:

9.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x))
0.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* y x))
15.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
46.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	229	423
1	756	380
2	3283	376
3	5001	356

prune170.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

regimes67.0ms

Accuracy

0% (0.3b 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

981.0ms	2489×	body	10240	exit
296.0ms	8451×	body	80	valid
77.0ms	284×	body	640	valid
63.0ms	129×	body	1280	valid
27.0ms	181×	body	320	valid
12.0ms	129×	body	160	valid