Details

sample97.0ms

Algorithm

intervals

Results

37.0ms	233×	body	10240	exit
29.0ms	97×	body	1280	valid
15.0ms	81×	body	640	valid
5.0ms	41×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	12×	body	80	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (100.0%)

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: 58.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.5b	(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ (exp x) (exp (- x)))
11.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
9.0ms	(- (exp x) (exp (- x)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
77.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
38.0ms	(- (exp x) (exp (- x)))

simplify225.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	278	936
1	929	870
2	4802	860
3	5001	860

prune132.0ms

Filtered

82 candidates to 60 candidates (26.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	2	83

Merged error: 0.0b

Counts

83 → 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)

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(tanh x)

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	90	48
1	191	45
2	581	45
3	2852	45
4	5001	45

prune19.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0b

Counts

15 → 4

localize12.0ms

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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`associate-r`
14×	`add-exp-log`
12×	`associate-l`
11×	`add-log-exp`
10×	`add-cube-cbrt`
9×	`unpow-prod-down` `unswap-sqr`
8×	`pow1` `add-cbrt-cube`
6×	`prod-exp` `distribute-lft-out` `distribute-lft-out--`
5×	`sqr-pow`
4×	`difference-of-squares`
2×	`+-commutative` `pow-to-exp` `diff-log` `pow-prod-down` `pow-exp` `associate--l+` `sum-log` `*-commutative` `cbrt-unprod`
1×	`sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ x (* 2/15 (pow x 5)))
19.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
6.0ms	(* 2/15 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series266.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ x (* 2/15 (pow x 5)))
58.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
48.0ms	(* 2/15 (pow x 5))
42.0ms	(* 1/3 (pow x 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	323	527
1	1315	507
2	5001	503

prune159.0ms

Filtered

103 candidates to 63 candidates (38.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`unswap-sqr`
16×	`unpow-prod-down` `difference-of-squares`
15×	`associate-r`
14×	`add-exp-log` `associate-l`
12×	`sqr-pow`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
6×	`prod-exp`
5×	`distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `associate-+r+` `diff-log` `pow-prod-down` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+`

Counts

4 → 105

Calls

4 calls:

29.0ms	(+ x (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))))
27.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
7.0ms	(* 2/15 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series291.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (- (* 2/15 (pow x 5)) (* 1/3 (pow x 3))))
140.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
49.0ms	(* 2/15 (pow x 5))
43.0ms	(* 1/3 (pow x 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	371	785
1	1328	758
2	5001	758

prune197.0ms

Filtered

117 candidates to 75 candidates (35.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Merged error: 0b

Counts

120 → 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	7520×	body	10240	exit
1.0s	3273×	body	1280	valid
453.0ms	2397×	body	640	valid
149.0ms	1264×	body	320	valid
44.0ms	648×	body	160	valid
15.0ms	418×	body	80	valid