Details

sample51.0ms

Algorithm

intervals

Results

34.0ms	108×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.7b	(/ (exp a) (+ (exp a) (exp b)))

rewrite31.0ms

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:

10.0ms	(+ (exp a) (exp b))
20.0ms	(/ (exp a) (+ (exp a) (exp b)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
37.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

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

prune123.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

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))
0.7b	(- a (log (+ (exp a) (exp b))))
4.9b	(log (+ (exp a) (exp b)))

rewrite57.0ms

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:

21.0ms	(exp (- a (log (+ (exp a) (exp b)))))
10.0ms	(+ (exp a) (exp b))
15.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
19.0ms	(+ (exp a) (exp b))
37.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify76.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (68.0ms)

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

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
0.3b	(sqrt (exp a))
0.3b	(sqrt (exp a))
1.7b	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod` `sqrt-prod` `add-cbrt-cube`
5×	`add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow1/2`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
3.0ms	(sqrt (exp a))
3.0ms	(sqrt (exp a))
7.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
12.0ms	(sqrt (exp a))
12.0ms	(sqrt (exp a))
57.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify69.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	155	617
1	469	536
2	2140	526
3	5001	522

prune221.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/2 (- a b) (- 0 (log 2)))
0.1b	(exp (fma 1/2 (- a b) (- 0 (log 2))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity` `add-log-exp`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`exp-sum` `rem-exp-log`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma 1/2 (- a b) (- 0 (log 2)))
2.0ms	(exp (fma 1/2 (- a b) (- 0 (log 2))))

series85.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(fma 1/2 (- a b) (- 0 (log 2)))
49.0ms	(exp (fma 1/2 (- a b) (- 0 (log 2))))

simplify98.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	87	195
1	197	171
2	785	157
3	3580	152
4	5001	152

prune76.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.1b

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

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

1.2s	3508×	body	10240	exit
185.0ms	8000×	body	80	valid