Details

sample99.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.0b	(- (exp x) (exp (- x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-l`
29×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
7×	`pow1`
6×	`associate-r`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 105

Calls

3 calls:

26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
30.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	541	1133
1	1885	916
2	5002	915

prune357.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.3b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
0.5b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
16.0b	(- (exp x) (exp (- x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `prod-diff`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`pow-unpow` `fma-neg` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `flip3--` `pow1/3` `diff-log` `*-commutative` `flip--` `rem-cbrt-cube` `div-inv`

Counts

4 → 115

Calls

4 calls:

29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
9.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
1.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
7.0ms	(- (exp x) (exp (- x)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
84.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
62.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
35.0ms	(- (exp x) (exp (- x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	537	1254
1	1936	1046
2	5002	1044

prune444.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.4b	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.6b	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
16.0b	(- (exp x) (exp (- x)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`associate-l`
16×	`times-frac`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `log1p-udef` `expm1-log1p` `flip3--` `diff-log` `log1p-expm1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv` `expm1-udef`

Counts

4 → 90

Calls

4 calls:

26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms	(- (exp x) (exp (- x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
95.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
96.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
39.0ms	(- (exp x) (exp (- x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	456	1041
1	1422	831
2	5001	827

prune367.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
0.6b	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.6b	(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
16.0b	(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube`
3×	`fma-def` `fma-neg`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out` `expm1-udef`
1×	`+-commutative` `associate-+r-` `sub-neg` `expm1-log1p` `flip3--` `log1p-def` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

2.0ms	(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
0.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
2.0ms	(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
7.0ms	(- (exp x) (exp (- x)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
97.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
92.0ms	(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
40.0ms	(- (exp x) (exp (- x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	343	994
1	1186	805
2	5001	797

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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	19	16
1	19	16

end0.0ms

sample1.8s

Algorithm: halfpoints