Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	23×	body	10240	exit
5.0ms	97×	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: 1.5b

localize6.0ms

Local error

Found 1 expressions with local error:

1.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(/ (exp a) (+ (exp a) (exp b)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (exp a) (+ (exp a) (exp b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	139	307
1	427	287
2	1160	285
3	3893	285
4	5002	285

prune86.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.3b	(- a (log (+ (exp a) (exp b))))
3.9b	(log (+ (exp a) (exp b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`log-prod`
6×	`pow1` `add-cube-cbrt` `log-div` `exp-prod` `add-log-exp`
4×	`add-exp-log` `exp-sum` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`flip3-+` `log-pow` `add-cbrt-cube` `flip-+`
2×	`sub-neg` `diff-log` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

3 → 56

Calls

3 calls:

9.0ms	(exp (- a (log (+ (exp a) (exp b)))))
6.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(exp (- a (log (+ (exp a) (exp b)))))
39.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify78.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	208	474
1	445	439
2	977	425
3	3244	421
4	5001	419

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (- a (log (+ (exp a) (exp b)))) 3)
1.3b	(- a (log (+ (exp a) (exp b))))
3.9b	(log (+ (exp a) (exp b)))
16.1b	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
11×	`pow1`
10×	`distribute-lft-out--`
8×	`log-prod`
6×	`add-exp-log` `log-pow`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`cube-div` `log-div` `associate--r+`
3×	`pow-unpow` `flip3--` `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 → 96

Calls

4 calls:

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

series176.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
31.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))
42.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	337	944
1	1164	892
2	5002	867

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ (exp a) (exp b)))
1.5b	(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 78

Calls

2 calls:

8.0ms	(/ 1 (+ (exp a) (exp b)))
23.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

series60.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ 1 (+ (exp a) (exp b)))
32.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	257	596
1	1098	523
2	3514	483
3	5001	482

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample862.0ms

Algorithm

intervals

Results

381.0ms	8000×	body	80	valid
159.0ms	683×	body	10240	exit
128.0ms	2714×	body	80	overflowed