Details

sample55.0ms

Algorithm

intervals

Results

35.0ms	103×	body	10240	exit
8.0ms	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)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ (exp a) (exp b))
19.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify87.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.6b	(- a (log (+ (exp a) (exp b))))
5.3b	(log (+ (exp a) (exp b)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 68

Calls

4 calls:

9.0ms	(+ (exp a) (exp b))
17.0ms	(exp (- a (log (+ (exp a) (exp b)))))
15.0ms	(- a (log (+ (exp a) (exp b))))
8.0ms	(log (+ (exp a) (exp b)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (exp a) (exp b))
42.0ms	(exp (- a (log (+ (exp a) (exp b)))))
32.0ms	(- a (log (+ (exp a) (exp b))))
30.0ms	(log (+ (exp a) (exp b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b)))))
2.0b	(* (/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b))))) (- (exp a) (exp b)))
3.3b	(+ (exp (+ a a)) (- (exp (+ b b))))
3.4b	(- (exp a) (exp b))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
16×	`distribute-lft-out`
11×	`add-cbrt-cube`
10×	`add-log-exp`
9×	`add-exp-log`
8×	`distribute-rgt-neg-in`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`associate-/r/`
3×	`sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `frac-2neg` `diff-log` `unsub-neg` `pow-prod-down` `neg-log` `associate-l/` `clear-num` `-commutative`

Counts

4 → 118

Calls

4 calls:

105.0ms	(/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b)))))
253.0ms	(* (/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b))))) (- (exp a) (exp b)))
62.0ms	(+ (exp (+ a a)) (- (exp (+ b b))))
11.0ms	(- (exp a) (exp b))

series237.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b)))))
110.0ms	(* (/ (exp a) (+ (exp (+ a a)) (- (exp (+ b b))))) (- (exp a) (exp b)))
35.0ms	(+ (exp (+ a a)) (- (exp (+ b b))))
22.0ms	(- (exp a) (exp b))

simplify55.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	427	1530
1	1980	1367
2	5002	1342

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.6b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.6b

regimes46.0ms

Accuracy

0% (0.0b 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	3341×	body	10240	exit
217.0ms	8000×	body	80	valid