Details

sample53.0ms

Algorithm

intervals

Results

36.0ms	108×	body	10240	exit
6.0ms	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

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)))

series56.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify97.0ms

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

prune144.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

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))
1.1b	(- a (log (+ (exp a) (exp b))))
4.3b	(log (+ (exp a) (exp b)))

rewrite30.0ms

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:

10.0ms	(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)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
34.0ms	(- a (log (+ (exp a) (exp b))))
39.0ms	(log (+ (exp a) (exp b)))

simplify84.0ms

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

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (- a (log (+ (exp a) (exp b)))) 3)
1.1b	(- a (log (+ (exp a) (exp b))))
4.3b	(log (+ (exp a) (exp b)))
14.5b	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
14×	`pow1`
12×	`unpow-prod-down` `cube-prod` `prod-diff`
10×	`distribute-lft-out--`
9×	`log-pow`
8×	`log-prod`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`cube-div` `expm1-log1p-u` `log-div` `log1p-expm1-u` `associate--r+`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `associate--r-` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 119

Calls

4 calls:

5.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))
6.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

series176.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
32.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))
47.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	402	1358
1	1460	1112
2	5001	1097

prune326.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`prod-diff`
5×	`exp-sum`
4×	`pow1` `fma-def` `diff-log`
3×	`add-exp-log` `expm1-log1p-u` `associate-+l+` `log-prod` `exp-prod` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log`
2×	`sub-neg`
1×	`+-commutative` `flip3--` `flip3-+` `exp-diff` `fma-neg` `log-pow` `flip--` `flip-+` `associate--r+`

Counts

3 → 61

Calls

3 calls:

7.0ms	(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
3.0ms	(+ (log 2) (* 1/2 b))
21.0ms	(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

series392.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* 1/2 a) (+ (log 2) (* 1/2 b)))
301.0ms	(+ (log 2) (* 1/2 b))
52.0ms	(exp (- (* 1/2 a) (+ (log 2) (* 1/2 b))))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	252	536
1	942	391
2	5002	356

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3570×	body	10240	exit
196.0ms	8000×	body	80	valid