Details

sample109.0ms

Algorithm: halfpoints

simplify59.0ms

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

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
15.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	309	559
1	1415	500
2	5002	496

prune145.0ms

Filtered

71 candidates to 53 candidates (25.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
102×	`*-un-lft-identity`
66×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-/r*`
20×	`associate-/r/`
18×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `frac-2neg` `clear-num` `log1p-expm1-u`
1×	`+-commutative` `sum-log`

Counts

3 → 153

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
11.0ms	(/ (cos y) (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
64.0ms	(/ (cos y) (/ 2.0 (+ (exp x) (exp (- x)))))
47.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify69.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	514	1798
1	2326	1699
2	5001	1695

prune333.0ms

Filtered

162 candidates to 123 candidates (24.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

714×	`*-un-lft-identity`
609×	`times-frac`
540×	`add-sqr-sqrt`
490×	`sqrt-prod`
440×	`sqrt-div`
400×	`add-cube-cbrt`
269×	`associate-/r*`
200×	`frac-times`
164×	`associate-/r/`
145×	`swap-sqr`
142×	`distribute-lft-out`
141×	`associate-/l*`
105×	`associate-r` `associate-l`
47×	`frac-2neg` `clear-num`
45×	`unswap-sqr`
23×	`div-inv`
22×	`flip3-+` `flip-+`
20×	`associate-r/` `associate-l/`
19×	`pow1`
15×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1` `pow1/2`
5×	`*-commutative` `pow-prod-up`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`prod-exp` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 776

Calls

4 calls:

46.0ms	(/ (cos y) (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
9.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
28.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (cos y) (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))))
45.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
40.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
111.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify144.0ms

Algorithm

egg-herbie

Counts

788 → 788

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1505	13398
1	5001	12473

prune1.4s

Filtered

788 candidates to 397 candidates (49.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	787	1	788
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	789	3	792

Merged error: 0b

Counts

792 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))
0.0b	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
0.0b	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))))
0.5b	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
71×	`sqrt-prod`
69×	`times-frac`
60×	`unpow-prod-down`
58×	`cbrt-prod`
53×	`add-cube-cbrt`
29×	`associate-r`
21×	`associate-l`
18×	`unswap-sqr`
17×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div` `associate-*l/` `associate-/r/`
9×	`pow1`
8×	`associate-/r*`
6×	`associate-/l*` `sqr-pow`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
3×	`unpow3` `pow-prod-down`
2×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `pow1/3` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 202

Calls

4 calls:

6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
30.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))))
8.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

series278.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
84.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
111.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))))
41.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

simplify81.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	644	2694
1	2390	2361
2	5002	2260

prune556.0ms

Filtered

214 candidates to 140 candidates (34.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	214	3	217

Merged error: 0b

Counts

217 → 3

regimes36.0ms

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

sample2.5s

Algorithm: halfpoints