Details

sample60.0ms

Algorithm

intervals

Results

41.0ms	98×	body	10240	exit
8.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize6.0ms

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

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))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
35.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify94.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (33.0ms)

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

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

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))
0.6b	(- a (log (+ (exp a) (exp b))))
2.8b	(log (+ (exp a) (exp b)))

rewrite26.0ms

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:

6.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp (- a (log (+ (exp a) (exp b)))))
17.0ms	(+ (exp a) (exp b))
36.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify85.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (75.0ms)

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

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
52×	`times-frac`
42×	`add-cube-cbrt`
41×	`sqrt-prod`
30×	`associate-r`
13×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `flip3-+` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 144

Calls

4 calls:

2.0ms	(sqrt (exp a))
2.0ms	(sqrt (exp a))
18.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
8.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp a))
11.0ms	(sqrt (exp a))
32.0ms	(* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))
55.0ms	(/ (sqrt (exp a)) (+ (exp a) (exp b)))

simplify49.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	327	1338
1	1414	1209
2	5002	1168

prune328.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes61.0ms

Accuracy

0% (0.0b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

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	3408×	body	10240	exit
207.0ms	8000×	body	80	valid