Details

sample78.0ms

Algorithm

intervals

Results

52.0ms	173×	body	1280	valid
9.0ms	59×	body	640	valid
5.0ms	236×	body	80	valid
1.0ms	13×	body	320	valid
0.0ms	6×	body	160	valid

simplify221.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 30.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
2.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite16.0ms

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:

5.0ms	(- (exp x) 2.0)
9.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
56.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

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

prune344.0ms

Pruning

4 alts after pruning (4 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))

rewrite7.0ms

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:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms	(* 1/12 (pow x 4))

series152.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
38.0ms	(* 1/12 (pow x 4))

simplify85.0ms

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

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

1.8b	(- (+ (exp (* -1 x)) (exp x)) 2.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`prod-diff`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`distribute-lft-out`
4×	`fma-neg`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`

Counts

1 → 35

Calls

1 calls:

8.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- (+ (exp (* -1 x)) (exp x)) 2.0)

simplify118.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	169	392
1	576	281
2	3646	264
3	5001	236

prune55.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))
0.0b	(/ (+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))) (+ (+ (exp (* -1 x)) (exp x)) 2.0))
0.0b	(pow (exp x) -2)
2.2b	(+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
43×	`distribute-lft-out`
30×	`add-log-exp`
25×	`times-frac`
24×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
12×	`sum-log`
8×	`prod-diff` `frac-add`
7×	`associate-+r+` `flip3-+` `flip-+`
6×	`add-exp-log` `diff-log` `add-cbrt-cube` `associate-/l/`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`expm1-log1p-u` `pow-pow` `fma-def` `fma-neg` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `exp-prod`
2×	`associate-+r-` `sub-neg` `associate--l+` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+l+` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `div-inv` `difference-of-squares` `sqr-pow`

Counts

4 → 142

Calls

4 calls:

7.0ms	(- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))
24.0ms	(/ (+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))) (+ (+ (exp (* -1 x)) (exp x)) 2.0))
3.0ms	(pow (exp x) -2)
17.0ms	(+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))
128.0ms	(/ (+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0))) (+ (+ (exp (* -1 x)) (exp x)) 2.0))
18.0ms	(pow (exp x) -2)
76.0ms	(+ (+ (exp (+ x x)) 1) (- (+ 1 (pow (exp x) -2)) (* 2.0 2.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	665	2158
1	3434	1996
2	5002	1990

prune426.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.5b 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 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s	5687×	body	1280	valid
194.0ms	1270×	body	640	valid
186.0ms	8186×	body	80	valid
53.0ms	585×	body	320	valid
20.0ms	296×	body	160	valid