Details

sample64.0ms

Algorithm

intervals

Results

37.0ms	91×	body	10240	exit
10.0ms	261×	body	80	valid
3.0ms	10×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	4×	body	160	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
64.0ms	(log (+ 1.0 (exp x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 4 (98.0ms)

Iter	Nodes	Cost
0	137	181
1	364	163
2	1024	163
3	3614	161
4	5001	159

prune104.0ms

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	(sqrt (+ 1.0 (exp x)))
0.0b	(sqrt (+ 1.0 (exp x)))
0.9b	(log (sqrt (+ 1.0 (exp x))))
0.9b	(log (sqrt (+ 1.0 (exp x))))

rewrite18.0ms

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:

5.0ms	(sqrt (+ 1.0 (exp x)))
5.0ms	(sqrt (+ 1.0 (exp x)))
3.0ms	(log (sqrt (+ 1.0 (exp x))))
3.0ms	(log (sqrt (+ 1.0 (exp x))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ 1.0 (exp x)))
30.0ms	(sqrt (+ 1.0 (exp x)))
100.0ms	(log (sqrt (+ 1.0 (exp x))))
105.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (50.0ms)

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

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
8.0b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

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

series142.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	221	317
1	704	285
2	2781	282
3	5001	264

prune130.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
0.0b	(log (log (fma x (fma 1/2 x 1) 2.0)))
0.4b	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
8.0b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite15.0ms

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:

10.0ms	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
1.0ms	(log (log (fma x (fma 1/2 x 1) 2.0)))
1.0ms	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
1.0ms	(log (fma x (fma 1/2 x 1) 2.0))

series327.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (exp (log (log (fma x (fma 1/2 x 1) 2.0)))) (* x y))
106.0ms	(log (log (fma x (fma 1/2 x 1) 2.0)))
58.0ms	(exp (log (log (fma x (fma 1/2 x 1) 2.0))))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	384	719
1	1328	611
2	5002	588

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes34.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

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

1.0s	2534×	body	10240	exit
322.0ms	8444×	body	80	valid
69.0ms	265×	body	640	valid
63.0ms	126×	body	1280	valid
29.0ms	185×	body	320	valid
9.0ms	101×	body	160	valid