Details

sample62.0ms

Algorithm

intervals

Results

31.0ms	76×	body	10240	exit
12.0ms	255×	body	80	valid
4.0ms	7×	body	1280	valid
3.0ms	12×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	5×	body	160	valid

simplify8.0ms

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: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.8b	(log (+ 1.0 (exp x)))

rewrite8.0ms

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:

4.0ms	(+ 1.0 (exp x))
4.0ms	(log (+ 1.0 (exp x)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ 1.0 (exp x))
68.0ms	(log (+ 1.0 (exp x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 4 (102.0ms)

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

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite19.0ms

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:

4.0ms	(+ 1.0 (exp x))
4.0ms	(+ 1.0 (exp x))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
15.0ms	(+ 1.0 (exp x))
110.0ms	(log (sqrt (+ 1.0 (exp x))))
110.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (39.0ms)

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

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
8.3b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite10.0ms

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:

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

series145.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- (log (fma x (fma 1/2 x 1) 2.0)) (* x y))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (72.0ms)

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

prune125.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (fma x (fma 1/2 x 1) 2.0)))
8.3b	(log (fma x (fma 1/2 x 1) 2.0))
8.3b	(log (fma x (fma 1/2 x 1) 2.0))
8.3b	(log (fma x (fma 1/2 x 1) 2.0))

rewrite7.0ms

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 x (fma 1/2 x 1) 2.0)))
1.0ms	(log (fma x (fma 1/2 x 1) 2.0))
1.0ms	(log (fma x (fma 1/2 x 1) 2.0))
2.0ms	(log (fma x (fma 1/2 x 1) 2.0))

series380.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt (log (fma x (fma 1/2 x 1) 2.0)))
64.0ms	(log (fma x (fma 1/2 x 1) 2.0))
63.0ms	(log (fma x (fma 1/2 x 1) 2.0))
58.0ms	(log (fma x (fma 1/2 x 1) 2.0))

simplify151.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	309	537
1	1084	480
2	4938	452
3	5001	449

prune273.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes63.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

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

1.0s	2445×	body	10240	exit
323.0ms	8428×	body	80	valid
71.0ms	254×	body	640	valid
67.0ms	134×	body	1280	valid
25.0ms	160×	body	320	valid
10.0ms	110×	body	160	valid