Details

sample119.0ms

Algorithm: halfpoints

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

9.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
29.0ms	(+ (exp x) (exp (- x)))

simplify166.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402

prune117.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b	(* 1/12 (pow x 4))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
14×	`add-cube-cbrt`
13×	`times-frac`
12×	`add-exp-log`
10×	`associate-r`
9×	`add-cbrt-cube`
5×	`prod-exp` `unswap-sqr`
4×	`pow1` `unpow-prod-down`
3×	`cbrt-unprod` `distribute-lft-out`
2×	`*-commutative` `add-log-exp` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`

Counts

2 → 60

Calls

2 calls:

12.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
5.0ms	(* 1/12 (pow x 4))

series104.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
35.0ms	(* 1/12 (pow x 4))

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	301	510
1	1204	447
2	5001	441

prune132.0ms

Filtered

66 candidates to 44 candidates (66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (sqrt 2.0)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
31×	`add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
9×	`pow1` `cbrt-undiv` `div-exp`
6×	`cbrt-div` `times-frac`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `pow-prod-down` `associate-*l/` `sqrt-prod` `flip-+` `distribute-lft-out`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

24.0ms	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (sqrt 2.0)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
4.0ms	(cbrt (+ (exp x) (exp (- x))))
4.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (sqrt 2.0)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
127.0ms	(cbrt (+ (exp x) (exp (- x))))
135.0ms	(cbrt (+ (exp x) (exp (- x))))
134.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	447	1746
1	2076	1307
2	5001	1069

prune377.0ms

Filtered

96 candidates to 67 candidates (69.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0b

Counts

99 → 3

regimes34.0ms

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	12	7
1	12	7

end0.0ms

sample2.3s

Algorithm: halfpoints