Details

sample48.0ms

Algorithm

intervals

Results

23.0ms	57×	body	10240	exit
10.0ms	277×	body	80	valid
2.0ms	4×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	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: 0.3b

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))
0.3b	(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)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
63.0ms	(log (+ 1.0 (exp x)))

simplify61.0ms

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

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
3.0ms	(log (sqrt (+ 1.0 (exp x))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
8.0ms	(+ 1.0 (exp x))
102.0ms	(log (sqrt (+ 1.0 (exp x))))
104.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	165	504
1	423	460
2	1201	448
3	5002	438

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
7.1b	(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:

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

series148.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
77.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
53.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (83.0ms)

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

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
7.1b	(log (fma 1/2 (pow x 2) (+ x 2.0)))
7.1b	(log (fma 1/2 (pow x 2) (+ x 2.0)))
7.1b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
1×	`pow1/3`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (log (fma 1/2 (pow x 2) (+ x 2.0))))
49.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
56.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))
54.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify142.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	307	613
1	1079	545
2	4907	517
3	5001	514

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes39.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

991.0ms	2455×	body	10240	exit
307.0ms	8483×	body	80	valid
59.0ms	225×	body	640	valid
57.0ms	116×	body	1280	valid
28.0ms	181×	body	320	valid
9.0ms	99×	body	160	valid