Details

sample107.0ms

Algorithm: halfpoints

simplify61.0ms

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

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))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.9b	(- (exp x) (exp (- x)))

rewrite40.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
34.0ms	(- (exp x) (exp (- x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

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

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
16.9b	(- (exp x) (exp (- x)))

rewrite21.0ms

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×	`expm1-log1p-u`
4×	`log1p-expm1-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:

11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
1.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
1.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
6.0ms	(- (exp x) (exp (- x)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
99.0ms	(expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
99.0ms	(log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
35.0ms	(- (exp x) (exp (- x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	453	1048
1	1388	829
2	5001	826

prune376.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(expm1 (log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x)))))))
0.3b	(log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x))))))
16.9b	(- (exp x) (exp (- x)))

rewrite21.0ms

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×	`expm1-log1p-u`
4×	`log1p-expm1-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:

11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
1.0ms	(expm1 (log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x)))))))
1.0ms	(log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x))))))
6.0ms	(- (exp x) (exp (- x)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
136.0ms	(expm1 (log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x)))))))
131.0ms	(log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x))))))
35.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	450	1101
1	1377	868
2	5002	852

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (fma 1/12 (pow x 4) 2))
0.0b	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
16.9b	(- (exp x) (exp (- x)))

rewrite28.0ms

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:

1.0ms	(fma x x (fma 1/12 (pow x 4) 2))
6.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
11.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma x x (fma 1/12 (pow x 4) 2))
73.0ms	(* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))
76.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	547	1129
1	1923	909
2	5002	908

prune516.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.9s

Algorithm: halfpoints