Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	299×	body	80	valid
4.0ms	105×	body	80	overflowed
1.0ms	1×	body	640	valid

simplify7.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

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)))

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:

13.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
62.0ms	(log (+ 1.0 (exp x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (58.0ms)

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

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

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)))
5.2b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.2b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite78.0ms

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:

4.0ms	(pow (exp x) 3)
18.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
16.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
37.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (exp x) 3)
84.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
38.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
103.0ms	(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	701
1	1683	631
2	5001	622

prune309.0ms

Pruning

4 alts after pruning (3 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))
6.8b	(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:

0.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
8.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
75.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
49.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (80.0ms)

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

prune193.0ms

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	(- (exp (log (log (fma 1/2 (pow x 2) (+ x 2.0))))) (* x y))
0.0b	(log (log (fma 1/2 (pow x 2) (+ x 2.0))))
0.3b	(exp (log (log (fma 1/2 (pow x 2) (+ x 2.0)))))
6.8b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
11×	`pow1`
7×	`fma-neg` `prod-diff` `log-pow`
6×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u`
2×	`rem-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

31.0ms	(- (exp (log (log (fma 1/2 (pow x 2) (+ x 2.0))))) (* x y))
2.0ms	(log (log (fma 1/2 (pow x 2) (+ x 2.0))))
3.0ms	(exp (log (log (fma 1/2 (pow x 2) (+ x 2.0)))))
1.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (exp (log (log (fma 1/2 (pow x 2) (+ x 2.0))))) (* x y))
102.0ms	(log (log (fma 1/2 (pow x 2) (+ x 2.0))))
62.0ms	(exp (log (log (fma 1/2 (pow x 2) (+ x 2.0)))))
72.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	382	809
1	1323	693
2	5002	666

prune244.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes75.0ms

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	22	17
1	22	17

end0.0ms

sample731.0ms

Algorithm

intervals

Results

318.0ms	9173×	body	80	valid
108.0ms	3428×	body	80	overflowed
6.0ms	10×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	6×	body	160	valid