Details

sample105.0ms

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	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b	(- (exp x) (exp (- x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 122

Calls

4 calls:

26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
9.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(+ (exp x) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	574	1243
1	2008	1013
2	5002	1009

prune437.0ms

Filtered

134 candidates to 98 candidates (73.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b	(- (exp x) (exp (- x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ (fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x))) 2.0) (cos y))
64.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	552	1329
1	1954	1037
2	5001	1028

prune459.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0b	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b	(- (exp x) (exp (- x)))

rewrite38.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `associate-r`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
0.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
65.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (exp (- x)))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	384	964
1	1277	753
2	5002	751

prune415.0ms

Filtered

100 candidates to 73 candidates (73.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.2b	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.6b	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
17.8b	(- (exp x) (exp (- x)))

rewrite38.0ms

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:

27.0ms	(* (/ (- (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)))
8.0ms	(- (exp x) (exp (- x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
103.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
122.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
40.0ms	(- (exp x) (exp (- x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

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

prune365.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	19
1	19	19

end0.0ms

sample2.4s

Algorithm: halfpoints