Details

sample73.0ms

Algorithm

intervals

Results

56.0ms	142×	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: 1.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

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)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify92.0ms

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

prune136.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.3b	(- a (log (+ (exp a) (exp b))))
3.6b	(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:

5.0ms	(+ (exp a) (exp b))
11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series138.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
51.0ms	(exp (- a (log (+ (exp a) (exp b)))))
32.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))

simplify80.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (71.0ms)

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

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log1p (expm1 (- a (log (+ (exp a) (exp b)))))))
0.0b	(log1p (expm1 (- a (log (+ (exp a) (exp b))))))
0.3b	(- a (log (+ (exp a) (exp b))))
3.6b	(log (+ (exp a) (exp b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
9×	`pow1`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `log1p-expm1-u` `associate--r+`
3×	`exp-prod` `fma-neg`
2×	`log1p-udef` `flip3-+` `flip-+` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `log1p-expm1` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

1.0ms	(exp (log1p (expm1 (- a (log (+ (exp a) (exp b)))))))
0.0ms	(log1p (expm1 (- a (log (+ (exp a) (exp b))))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(exp (log1p (expm1 (- a (log (+ (exp a) (exp b)))))))
55.0ms	(log1p (expm1 (- a (log (+ (exp a) (exp b))))))
32.0ms	(- a (log (+ (exp a) (exp b))))
36.0ms	(log (+ (exp a) (exp b)))

simplify69.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	268	934
1	641	700
2	2429	686
3	5001	574

prune245.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1 (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.0b	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
18×	`exp-prod`
9×	`add-exp-log`
8×	`distribute-lft-out`
7×	`log-prod` `add-log-exp`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`unpow-prod-down` `fma-def` `flip3-+` `rem-log-exp` `flip-+` `associate-/l*`
2×	`div-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `pow-exp` `clear-num` `sum-log` `log-pow` `rem-exp-log` `inv-pow` `sqr-pow`

Counts

4 → 104

Calls

4 calls:

21.0ms	(exp (/ 1 (+ (exp a) (exp b))))
5.0ms	(+ (exp a) (exp b))
9.0ms	(/ 1 (+ (exp a) (exp b)))
10.0ms	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(exp (/ 1 (+ (exp a) (exp b))))
18.0ms	(+ (exp a) (exp b))
28.0ms	(/ 1 (+ (exp a) (exp b)))
66.0ms	(log (pow (exp (/ 1 (+ (exp a) (exp b)))) (exp a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	283	808
1	844	716
2	2058	670
3	5002	654

prune287.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes80.0ms

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	13	8
1	13	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3557×	body	10240	exit
196.0ms	8000×	body	80	valid