Details

sample76.0ms

Algorithm

intervals

Results

32.0ms	97×	body	1280	valid
17.0ms	85×	body	640	valid
8.0ms	253×	body	80	overflowed
5.0ms	40×	body	320	valid
2.0ms	27×	body	160	valid
0.0ms	7×	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: 58.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.7b	(- (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)))
11.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
38.0ms	(- (exp x) (exp (- x)))

simplify244.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

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

prune157.0ms

Filtered

82 candidates to 60 candidates (73.2%)

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: 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)

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(tanh x)

simplify72.0ms

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

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

15 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`associate-r`
16×	`add-exp-log`
12×	`times-frac`
10×	`add-cbrt-cube`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `cube-prod` `associate-/r*` `sqr-pow`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 103

Calls

4 calls:

14.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series201.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
27.0ms	(+ (exp x) (exp (- x)))
45.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	483	1031
1	2122	953
2	5001	952

prune284.0ms

Filtered

115 candidates to 79 candidates (68.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

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

sample2.3s

Algorithm

intervals

Results

1.1s	3328×	body	1280	valid
492.0ms	2364×	body	640	valid
255.0ms	7779×	body	80	overflowed
157.0ms	1207×	body	320	valid
55.0ms	659×	body	160	valid
19.0ms	442×	body	80	valid