Details

sample69.0ms

Algorithm

intervals

Results

31.0ms	113×	body	1280	valid
11.0ms	69×	body	640	valid
9.0ms	292×	body	80	valid
4.0ms	43×	body	320	valid
1.0ms	21×	body	160	valid

simplify224.0ms

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: 58.1b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite17.0ms

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:

16.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify113.0ms

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

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

series121.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	26	59
1	64	52
2	228	52
3	982	52
4	5001	52

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
0.0b	(pow (exp x) -2)
6.2b	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

12.0ms	(+ (exp x) (exp (- x)))
24.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
4.0ms	(pow (exp x) -2)
0.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
110.0ms	(/ (fma (- 1) (pow (exp x) -2) (exp (+ x x))) (+ (exp x) (exp (- x))))
18.0ms	(pow (exp x) -2)
73.0ms	(fma (- 1) (pow (exp x) -2) (exp (+ x x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	328	934
1	1277	846
2	5002	813

prune255.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (pow (exp x) 2) (pow (exp x) -2)) 3)
0.0b	(pow (exp x) -2)
0.1b	(cbrt (pow (- (pow (exp x) 2) (pow (exp x) -2)) 3))
6.2b	(- (pow (exp x) 2) (pow (exp x) -2))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

118×	`unpow-prod-down`
115×	`add-sqr-sqrt`
60×	`difference-of-squares`
56×	`prod-diff`
55×	`*-un-lft-identity`
54×	`sqr-pow`
45×	`add-cube-cbrt`
38×	`cbrt-prod`
32×	`cube-prod`
23×	`unpow2`
8×	`fma-neg`
6×	`pow1` `pow-unpow` `add-log-exp`
5×	`add-exp-log` `pow-pow` `add-cbrt-cube` `distribute-lft-out--`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`exp-prod` `flip3--` `flip--`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `pow-exp`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 217

Calls

4 calls:

38.0ms	(pow (- (pow (exp x) 2) (pow (exp x) -2)) 3)
4.0ms	(pow (exp x) -2)
37.0ms	(cbrt (pow (- (pow (exp x) 2) (pow (exp x) -2)) 3))
33.0ms	(- (pow (exp x) 2) (pow (exp x) -2))

series249.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(pow (- (pow (exp x) 2) (pow (exp x) -2)) 3)
23.0ms	(pow (exp x) -2)
60.0ms	(cbrt (pow (- (pow (exp x) 2) (pow (exp x) -2)) 3))
66.0ms	(- (pow (exp x) 2) (pow (exp x) -2))

simplify76.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	720	2906
1	2461	2123
2	5002	2107

prune334.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

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

930.0ms	3413×	body	1280	valid
405.0ms	2513×	body	640	valid
183.0ms	8233×	body	80	valid
119.0ms	1193×	body	320	valid
38.0ms	603×	body	160	valid