Details

sample75.0ms

Algorithm

intervals

Results

50.0ms	177×	body	1280	valid
6.0ms	44×	body	640	valid
5.0ms	249×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify223.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.4b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
54.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify33.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367

prune152.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
11.0ms	(* 1/12 (pow x 4))

series154.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
38.0ms	(* 1/12 (pow x 4))

simplify84.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	123	177
1	469	163
2	2175	160
3	5002	160

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp (* -1 x)) 2.0)
3.4b	(+ (exp x) (- (exp (* -1 x)) 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+r+`
9×	`add-log-exp`
3×	`fma-def` `fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

14.0ms	(- (exp (* -1 x)) 2.0)
28.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

series63.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp (* -1 x)) 2.0)
50.0ms	(+ (exp x) (- (exp (* -1 x)) 2.0))

simplify142.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	255	509
1	795	386
2	4317	350
3	5001	335

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

1.0b	(* (sqrt 2.0) (sqrt 2.0))
2.4b	(- (+ (exp (* -1 x)) (exp x)) 2.0)
61.9b	(fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`pow1` `sqrt-prod`
12×	`prod-diff`
8×	`sqrt-pow1` `pow1/2` `swap-sqr` `add-log-exp`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube` `distribute-lft-out`
4×	`fma-neg` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u`
2×	`diff-log` `distribute-lft-out--`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `prod-exp` `associate--l+` `sum-log` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `difference-of-squares`

Counts

3 → 96

Calls

3 calls:

13.0ms	(* (sqrt 2.0) (sqrt 2.0))
83.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)
0.0ms	(fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))

series50.0ms

Counts

3 → 5

Calls

3 calls:

0.0ms	(* (sqrt 2.0) (sqrt 2.0))
49.0ms	(- (+ (exp (* -1 x)) (exp x)) 2.0)
0.0ms	(fma (- (sqrt 2.0)) (sqrt 2.0) (* (sqrt 2.0) (sqrt 2.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	259	616
1	1105	460
2	5001	424

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5672×	body	1280	valid
186.0ms	1253×	body	640	valid
168.0ms	8049×	body	80	valid
55.0ms	635×	body	320	valid
16.0ms	279×	body	160	valid