Details

sample68.0ms

Algorithm

intervals

Results

29.0ms	104×	body	1280	valid
17.0ms	92×	body	640	valid
6.0ms	243×	body	80	valid
3.0ms	32×	body	320	valid
1.0ms	18×	body	160	valid

simplify221.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

15.0ms

(- (exp x) (exp (- x)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (exp x) (exp (- x)))

simplify116.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune63.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(+ 1 (exp (+ x x)))
0.0b	(pow (exp (- x)) 3)
5.0b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
113×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
93×	`unpow-prod-down`
90×	`cube-prod`
89×	`add-cube-cbrt`
35×	`sqr-pow`
26×	`cube-mult` `unpow3`
16×	`difference-of-squares`
15×	`pow-pow`
13×	`exp-prod`
12×	`fma-neg`
8×	`add-log-exp`
6×	`pow1` `pow-unpow`
5×	`add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`cube-div` `pow-to-exp` `pow-exp`
1×	`difference-cubes` `+-commutative` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `flip3-+` `exp-diff` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 268

Calls

4 calls:

4.0ms	(pow (exp x) -2)
16.0ms	(+ 1 (exp (+ x x)))
8.0ms	(pow (exp (- x)) 3)
50.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series154.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) -2)
12.0ms	(+ 1 (exp (+ x x)))
26.0ms	(pow (exp (- x)) 3)
93.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify154.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	693	3627
1	2861	2451
2	5001	2447

prune401.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) -2)
0.0b	(pow (exp (- x)) 3)
1.0b	(* (hypot (exp x) 1) (hypot (exp x) 1))
5.0b	(- (pow (exp x) 3) (pow (exp (- x)) 3))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
118×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
93×	`unpow-prod-down`
92×	`add-cube-cbrt`
90×	`cube-prod`
35×	`sqr-pow`
26×	`cube-mult` `unpow3`
16×	`difference-of-squares`
15×	`pow-pow`
13×	`pow1` `exp-prod`
12×	`fma-neg`
7×	`add-cbrt-cube`
6×	`add-exp-log` `pow-unpow` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `hypot-udef` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `pow-to-exp` `pow-exp`
1×	`difference-cubes` `pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `pow-plus` `exp-diff` `sqrt-unprod` `diff-log` `pow-prod-down` `prod-exp` `rem-square-sqrt` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 280

Calls

4 calls:

5.0ms	(pow (exp x) -2)
8.0ms	(pow (exp (- x)) 3)
7.0ms	(* (hypot (exp x) 1) (hypot (exp x) 1))
50.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

series218.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (exp x) -2)
26.0ms	(pow (exp (- x)) 3)
78.0ms	(* (hypot (exp x) 1) (hypot (exp x) 1))
94.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))

simplify149.0ms

Algorithm

egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	700	3724
1	2697	2530
2	5001	2477

prune384.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample1.9s

Algorithm

intervals

Results

928.0ms	3341×	body	1280	valid
402.0ms	2489×	body	640	valid
187.0ms	8040×	body	80	valid
124.0ms	1270×	body	320	valid
38.0ms	638×	body	160	valid