Details

sample91.0ms

Algorithm: halfpoints

simplify58.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.9b	(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
30.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	508	967
1	1773	853
2	5001	852

prune374.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.9b	(- (exp x) (exp (- x)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

57×	`associate-l`
53×	`add-sqr-sqrt` `*-un-lft-identity`
41×	`times-frac`
34×	`sqrt-prod`
33×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
7×	`associate-r`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
5×	`sqrt-div` `pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`*-commutative` `div-inv`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 126

Calls

4 calls:

28.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
55.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
118.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	579	1506
1	2051	1323
2	5001	1322

prune500.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
17.9b	(- (exp x) (exp (- x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

69×	`associate-l`
64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
60×	`times-frac`
44×	`add-exp-log`
43×	`add-cube-cbrt`
35×	`add-cbrt-cube`
25×	`sqrt-prod`
19×	`prod-exp`
14×	`cbrt-unprod`
13×	`pow1`
11×	`div-exp`
7×	`cbrt-undiv` `associate-r`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow-prod-down` `associate-*l/` `unswap-sqr`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`1-exp` `*-commutative` `div-inv`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `flip--`

Counts

4 → 151

Calls

4 calls:

28.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
29.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
57.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
6.0ms	(- (exp x) (exp (- x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
89.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
62.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
35.0ms	(- (exp x) (exp (- x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	749	1998
1	3255	1633
2	5001	1492

prune506.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(exp (cos y))
0.5b	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
17.9b	(- (exp x) (exp (- x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`associate-l`
17×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`log-prod` `add-log-exp`
6×	`pow1`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`unpow-prod-down` `exp-prod` `rem-log-exp` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `log-pow` `-commutative` `flip--` `div-inv` `rem-exp-log` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
1.0ms	(exp (cos y))
3.0ms	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
6.0ms	(- (exp x) (exp (- x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
31.0ms	(exp (cos y))
106.0ms	(log (pow (exp (cos y)) (/ (+ (exp x) (exp (- x))) 2.0)))
42.0ms	(- (exp x) (exp (- x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	433	807
1	1383	707
2	5001	700

prune357.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	22	24
1	22	24

end0.0ms

sample2.6s

Algorithm: halfpoints