Details

sample109.0ms

Algorithm

intervals

Results

45.0ms	246×	body	10240	exit
35.0ms	117×	body	1280	valid
12.0ms	68×	body	640	valid
4.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid
1.0ms	15×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	59	9
5	174	9
6	1153	9
7	5001	9

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.3b	(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

11.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify105.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	252	836
1	806	782
2	3319	775
3	5002	775

prune139.0ms

Filtered

67 candidates to 47 candidates (70.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify75.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	48
1	195	45
2	599	45
3	2891	45
4	5002	45

prune22.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 2/15 (pow x 5)))
0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

3.0ms	(+ x (* 2/15 (pow x 5)))
5.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms	(* 2/15 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series264.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ x (* 2/15 (pow x 5)))
53.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
53.0ms	(* 2/15 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	314	427
1	1376	401
2	5001	396

prune184.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
1.5b	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
4.3b	(- (exp x) (exp (- x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
177×	`*-un-lft-identity`
125×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
31×	`associate-/r*`
26×	`distribute-lft-out`
22×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

3 → 187

Calls

3 calls:

14.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
14.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
77.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
37.0ms	(- (exp x) (exp (- x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	536	3165
1	2394	2930
2	5003	2732

prune238.0ms

Filtered

196 candidates to 88 candidates (44.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	7569×	body	10240	exit
974.0ms	3252×	body	1280	valid
457.0ms	2475×	body	640	valid
141.0ms	1204×	body	320	valid
45.0ms	641×	body	160	valid
16.0ms	428×	body	80	valid