Details

sample109.0ms

Algorithm: halfpoints

simplify75.0ms

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

prune8.0ms

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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

4.0ms	(+ (exp x) (exp (- x)))
12.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series94.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	300	532
1	1382	475
2	5001	473

prune125.0ms

Filtered

64 candidates to 46 candidates (28.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Merged error: 0b

Counts

65 → 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))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
101×	`*-un-lft-identity`
65×	`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` `frac-2neg` `clear-num`
1×	`+-commutative` `sum-log`

Counts

3 → 144

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
14.0ms	(/ (cos y) (/ 2.0 (+ (exp x) (exp (- x)))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

series127.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
64.0ms	(/ (cos y) (/ 2.0 (+ (exp x) (exp (- x)))))
40.0ms	(/ 2.0 (+ (exp x) (exp (- x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	502	1760
1	2287	1660
2	5002	1657

prune310.0ms

Filtered

153 candidates to 114 candidates (25.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	154	4	158

Merged error: 0b

Counts

158 → 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` `div-exp` `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 → 768

Calls

4 calls:

46.0ms	(/ (cos y) (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))))
9.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
27.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(/ (cos y) (* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x)))))))
44.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
39.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
109.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (/ 2.0 (+ (exp x) (exp (- x))))))

simplify140.0ms

Algorithm

egg-herbie

Counts

780 → 780

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1494	13331
1	5002	12395

prune1.3s

Filtered

780 candidates to 389 candidates (50.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	779	1	780
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	781	3	784

Merged error: 0b

Counts

784 → 3

localize21.0ms

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))

rewrite60.0ms

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×	`pow-unpow` `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 → 194

Calls

4 calls:

6.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
8.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
28.0ms	(* (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))

series272.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ 2.0 (+ (exp x) (exp (- x))))
82.0ms	(pow (/ 2.0 (+ (exp x) (exp (- x)))) 3)
101.0ms	(* (sqrt (/ 2.0 (+ (exp x) (exp (- x))))) (sqrt (cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))))
44.0ms	(cbrt (pow (/ 2.0 (+ (exp x) (exp (- x)))) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	630	2644
1	2348	2315
2	5001	2219

prune514.0ms

Filtered

206 candidates to 132 candidates (35.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	206	3	209

Merged error: 0b

Counts

209 → 3

regimes38.0ms

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	11	7
1	11	7

end0.0ms

sample2.5s

Algorithm: halfpoints