Details

sample134.0ms

Algorithm

intervals

Results

51.0ms	233×	body	10240	exit
41.0ms	102×	body	1280	valid
18.0ms	79×	body	640	valid
5.0ms	39×	body	320	valid
2.0ms	24×	body	160	valid
1.0ms	12×	body	80	valid

simplify45.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite68.0ms

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:

53.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (22.0ms)

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

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(tanh x)

simplify73.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune24.0ms

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)))
0.0b	(* 2/15 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite64.0ms

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:

6.0ms	(+ x (* 2/15 (pow x 5)))
29.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
14.0ms	(* 2/15 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series234.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ x (* 2/15 (pow x 5)))
51.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
44.0ms	(* 2/15 (pow x 5))
35.0ms	(* 1/3 (pow x 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (42.0ms)

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

prune176.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.2b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`tanh-def`
9×	`frac-times`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 84

Calls

3 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
20.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(tanh x)
69.0ms	(tanh x)
70.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify242.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	199	444
1	725	415
2	4998	407
3	5003	407

prune131.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes11.0ms

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	7580×	body	10240	exit
969.0ms	3253×	body	1280	valid
452.0ms	2519×	body	640	valid
139.0ms	1224×	body	320	valid
42.0ms	610×	body	160	valid
17.0ms	394×	body	80	valid