Details

sample114.0ms

Algorithm: halfpoints

simplify60.0ms

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	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	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

localize15.0ms

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

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))

simplify176.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426

prune134.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`

Counts

2 → 44

Calls

2 calls:

6.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
65.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	233	583
1	856	462
2	3749	440
3	5002	434

prune130.0ms

Filtered

50 candidates to 41 candidates (82.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	50	3	53

Merged error: 0b

Counts

53 → 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))))

rewrite41.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 92

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)))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
4.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))

series534.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (/ (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (sqrt 2.0)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)))
133.0ms	(cbrt (+ (exp x) (exp (- x))))
125.0ms	(cbrt (+ (exp x) (exp (- x))))
130.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	455	1830
1	2115	1388
2	5002	1150

prune274.0ms

Filtered

104 candidates to 75 candidates (72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

107 → 3

regimes37.0ms

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