Details

sample60.0ms

Algorithm

intervals

Results

42.0ms	119×	body	10240	exit
8.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 1.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune102.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.1b	(- a (log (+ (exp a) (exp b))))
2.5b	(log (+ (exp a) (exp b)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 68

Calls

4 calls:

5.0ms	(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)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
37.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (84.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune179.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- a (+ (log 2) (* 1/2 (+ a b))))
0.0b	(+ (log 2) (* 1/2 (+ a b)))
0.0b	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `exp-prod`
4×	`diff-log`
3×	`pow1` `add-exp-log` `associate-+l+` `log-prod` `sum-log` `add-cbrt-cube` `rem-exp-log`
2×	`sub-neg` `associate-+r+` `exp-sum` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `exp-diff` `flip--` `flip-+` `associate--r+`

Counts

3 → 50

Calls

3 calls:

8.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
4.0ms	(+ (log 2) (* 1/2 (+ a b)))
6.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

series115.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
29.0ms	(+ (log 2) (* 1/2 (+ a b)))
46.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	223	406
1	720	373
2	3940	361
3	5002	358

prune124.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.5b

regimes92.0ms

Accuracy

0% (0.1b 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	9	6
1	9	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3589×	body	10240	exit
198.0ms	8000×	body	80	valid