Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	109×	body	80	overflowed

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

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)))

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:

5.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series57.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (exp a) (exp b))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify98.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (36.0ms)

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

prune137.0ms

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	(sqrt (exp a))
0.0b	(sqrt (exp a))
0.0b	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
1.0b	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite8.0ms

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:

1.0ms	(sqrt (exp a))
1.0ms	(sqrt (exp a))
0.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
3.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp a))
13.0ms	(sqrt (exp a))
43.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
53.0ms	(/ (exp a) (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify69.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (62.0ms)

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

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(+ (exp a) (exp b))
0.5b	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
0.8b	(/ (+ (exp a) (exp b)) (sqrt (exp a)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
287×	`*-un-lft-identity`
189×	`sqrt-prod`
188×	`add-sqr-sqrt`
187×	`add-cube-cbrt`
50×	`distribute-lft-out`
34×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-pow1` `div-exp` `log1p-expm1-u`
3×	`exp-prod` `fma-def`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `pow1/2` `sum-log` `associate-/r/`

Counts

4 → 304

Calls

4 calls:

1.0ms	(sqrt (exp a))
5.0ms	(+ (exp a) (exp b))
23.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
15.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp a))
18.0ms	(+ (exp a) (exp b))
42.0ms	(/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))
48.0ms	(/ (+ (exp a) (exp b)) (sqrt (exp a)))

simplify98.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	668	4740
1	3254	4276
2	5002	4218

prune510.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(/ (sqrt (exp a)) (fma 1/4 (pow a 2) (+ b 2)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

1.0ms	(sqrt (exp a))
4.0ms	(/ (sqrt (exp a)) (fma 1/4 (pow a 2) (+ b 2)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(sqrt (exp a))
63.0ms	(/ (sqrt (exp a)) (fma 1/4 (pow a 2) (+ b 2)))

simplify49.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	152	525
1	405	498
2	1581	494
3	5001	493

prune155.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8

end0.0ms

sample653.0ms

Algorithm

intervals

Results

318.0ms	8000×	body	80	valid
142.0ms	3514×	body	80	overflowed