Details

sample105.0ms

Algorithm

intervals

Results

44.0ms	259×	body	10240	exit
31.0ms	107×	body	1280	valid
14.0ms	80×	body	640	valid
4.0ms	35×	body	320	valid
1.0ms	21×	body	160	valid
0.0ms	13×	body	80	valid

simplify43.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 58.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.5b	(- (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:

10.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- (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 (21.0ms)

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

prune138.0ms

Filtered

67 candidates to 47 candidates (70.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.0b

Counts

68 → 2

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)

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(tanh x)

simplify70.0ms

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

prune23.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

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))

series140.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
45.0ms	(* 2/15 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	276	362
1	1208	335
2	5001	331

prune149.0ms

Filtered

79 candidates to 49 candidates (62.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0b

Counts

82 → 3

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)))

rewrite13.0ms

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)
8.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(tanh x)
75.0ms	(tanh x)
74.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify239.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (26.0ms)

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

prune139.0ms

Filtered

93 candidates to 51 candidates (54.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

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

sample3.1s

Algorithm

intervals

Results

1.2s	7308×	body	10240	exit
997.0ms	3351×	body	1280	valid
422.0ms	2365×	body	640	valid
135.0ms	1199×	body	320	valid
49.0ms	677×	body	160	valid
17.0ms	408×	body	80	valid