Details

sample100.0ms

Algorithm

intervals

Results

40.0ms	237×	body	10240	exit
31.0ms	105×	body	1280	valid
14.0ms	80×	body	640	valid
3.0ms	33×	body	320	valid
2.0ms	27×	body	160	valid
0.0ms	11×	body	80	valid

simplify46.0ms

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: 57.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.2b	(- (exp x) (exp (- x)))

rewrite23.0ms

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))))
5.0ms	(- (exp x) (exp (- x)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

simplify224.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

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

prune141.0ms

Filtered

82 candidates to 60 candidates (73.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

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)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(tanh x)

simplify72.0ms

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

prune20.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

199×	`*-un-lft-identity`
105×	`distribute-lft-out`
71×	`associate-l`
52×	`times-frac`
39×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
13×	`associate-/l*`
10×	`add-cbrt-cube`
8×	`pow1` `unpow-prod-down`
6×	`prod-exp` `add-log-exp` `unswap-sqr`
4×	`associate-/r*` `sqr-pow`
3×	`flip3-+` `flip-+`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 150

Calls

4 calls:

4.0ms	(+ (exp x) (exp (- x)))
42.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
6.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series221.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
100.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
49.0ms	(* 1/60 (pow x 5))
43.0ms	(* 1/3 (pow x 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	474	1818
1	2046	1746
2	5001	1745

prune278.0ms

Filtered

162 candidates to 77 candidates (47.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	162	4	166

Merged error: 0b

Counts

166 → 4

localize8.0ms

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))
0.1b	(* 1/3 (pow x 3))

rewrite40.0ms

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)))
17.0ms	(- (+ 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))

series277.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ x (* 2/15 (pow x 5)))
62.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
50.0ms	(* 2/15 (pow x 5))
44.0ms	(* 1/3 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	323	539
1	1315	515
2	5001	511

prune154.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes20.0ms

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

sample3.0s

Algorithm

intervals

Results

1.2s	7424×	body	10240	exit
958.0ms	3236×	body	1280	valid
439.0ms	2462×	body	640	valid
133.0ms	1229×	body	320	valid
44.0ms	658×	body	160	valid
15.0ms	415×	body	80	valid