Details

sample51.0ms

Algorithm

intervals

Results

36.0ms	103×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune137.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
2.4b	(log (+ (exp a) (exp b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `distribute-lft-out`
2×	`sub-neg` `diff-log` `rem-exp-log` `difference-of-squares`
1×	`+-commutative` `flip3--` `exp-diff` `rem-log-exp` `sum-log` `flip--`

Counts

4 → 106

Calls

4 calls:

13.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
23.0ms	(+ (exp a) (exp b))
31.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify78.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	308	1330
1	791	946
2	2960	789
3	5001	691

prune259.0ms

Filtered

118 candidates to 71 candidates (60.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(expm1 (log1p (exp (- a (log (+ (exp a) (exp b)))))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.4b	(log (+ (exp a) (exp b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
9×	`pow1`
8×	`log-prod`
7×	`add-log-exp`
5×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
3×	`fma-def` `flip3-+` `fma-neg` `flip-+` `distribute-lft-out`
2×	`distribute-lft-out--` `associate--r-`
1×	`+-commutative` `sub-neg` `expm1-log1p` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--` `expm1-udef` `difference-of-squares`

Counts

4 → 83

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
0.0ms	(expm1 (log1p (exp (- a (log (+ (exp a) (exp b)))))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
188.0ms	(expm1 (log1p (exp (- a (log (+ (exp a) (exp b)))))))
49.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))

simplify105.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	302	929
1	812	693
2	3482	666
3	5001	655

prune482.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.7b	(/ (+ (exp a) (exp b)) (exp a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
96×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 142

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
13.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
15.0ms	(/ (+ (exp a) (exp b)) (exp a))

series80.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (exp a) (exp b))
34.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
28.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify44.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	409	1455
1	1703	1317
2	5001	1215

prune239.0ms

Filtered

151 candidates to 82 candidates (54.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3369×	body	10240	exit
190.0ms	8000×	body	80	valid