Details

sample99.0ms

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	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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.9b	(- (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:

29.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
82.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (39.0ms)

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.9b	(- (exp x) (exp (- x)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
56.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
126.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	539	1192
1	1844	1015
2	5001	1014

prune439.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
15.9b	(- (exp x) (exp (- x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
74×	`associate-l`
72×	`*-un-lft-identity` `times-frac`
60×	`cbrt-prod`
48×	`add-cube-cbrt`
17×	`unpow-prod-down` `cube-prod`
14×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out` `unswap-sqr`
6×	`associate-r` `add-log-exp`
5×	`sqr-pow`
4×	`cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `cube-div` `cbrt-div` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `flip3-+` `pow1/3` `diff-log` `flip--` `rem-cbrt-cube` `flip-+`

Counts

4 → 155

Calls

4 calls:

45.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
30.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
6.0ms	(- (exp x) (exp (- x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
22.0ms	(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))
39.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	676	1588
1	2316	1443
2	5001	1438

prune624.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (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)))
15.9b	(- (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)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
87.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
61.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))
36.0ms	(- (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

prune511.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample1.9s

Algorithm: halfpoints