Details

sample100.0ms

Algorithm

intervals

Results

39.0ms	237×	body	10240	exit
32.0ms	112×	body	1280	valid
13.0ms	75×	body	640	valid
4.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	13×	body	80	valid

simplify44.0ms

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: 58.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite22.0ms

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

series136.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
69.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

simplify235.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	281	936
1	947	870
2	4970	860
3	5003	860

prune169.0ms

Filtered

82 candidates to 60 candidates (73.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

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)

simplify73.0ms

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

prune24.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

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)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ (exp x) (exp (- x)))
8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series175.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
55.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
53.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	394	475
1	1686	434
2	5002	433

prune260.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

96 → 3

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)))
0.1b	(* 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))

series255.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ x (* 2/15 (pow x 5)))
57.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
51.0ms	(* 2/15 (pow x 5))
35.0ms	(* 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

prune183.0ms

Filtered

93 candidates to 59 candidates (63.4%)

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

regimes13.0ms

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

1.3s	7671×	body	10240	exit
982.0ms	3364×	body	1280	valid
417.0ms	2366×	body	640	valid
128.0ms	1196×	body	320	valid
42.0ms	637×	body	160	valid
15.0ms	437×	body	80	valid