Details

sample96.0ms

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

localize25.0ms

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))
18.0b	(- (exp x) (exp (- x)))

rewrite69.0ms

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:

6.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
8.0ms	(- (exp x) (exp (- x)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms	(- (exp x) (exp (- x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

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

prune434.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0b	(- (exp x) (exp (- x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`associate-l`
19×	`cbrt-prod`
16×	`times-frac`
13×	`pow1`
11×	`add-exp-log`
9×	`associate-r` `prod-diff` `add-cbrt-cube`
7×	`pow1/3`
6×	`swap-sqr` `add-log-exp` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `div-exp` `associate-*l/` `flip--` `div-inv`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (exp x))
7.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
26.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
11.0ms	(- (exp x) (exp (- x)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (exp x))
96.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms	(- (exp x) (exp (- x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	456	1093
1	1486	877
2	5001	845

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0b	(- (exp x) (exp (- x)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`associate-l`
41×	`times-frac`
40×	`add-cube-cbrt`
34×	`sqrt-prod`
16×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
9×	`prod-diff`
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×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `*-commutative` `div-inv`
1×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `diff-log` `associate-*r/` `div-exp` `flip--`

Counts

4 → 146

Calls

4 calls:

28.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
56.0ms	(* (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))
7.0ms	(- (exp x) (exp (- x)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
122.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
78.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
39.0ms	(- (exp x) (exp (- x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	643	1806
1	2282	1508
2	5003	1507

prune746.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
0.0b	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0b	(- (exp x) (exp (- x)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

143×	`sqrt-prod`
113×	`*-un-lft-identity`
100×	`times-frac`
92×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
68×	`associate-l`
16×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
11×	`pow1`
9×	`prod-diff`
7×	`associate-/l*`
6×	`sqrt-div` `associate-/r*` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `div-inv`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-times` `sub-neg` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `clear-num` `flip--` `flip-+`

Counts

4 → 209

Calls

4 calls:

18.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
67.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
29.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
7.0ms	(- (exp x) (exp (- x)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))
304.0ms	(* (sqrt (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	833	3098
1	2842	2822
2	5001	2798

prune882.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes50.0ms

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	28	35
1	28	35

end0.0ms

sample2.4s

Algorithm: halfpoints