Details

sample106.0ms

Algorithm

intervals

Results

38.0ms	91×	body	1280	valid
20.0ms	257×	body	80	valid
19.0ms	71×	body	640	valid
10.0ms	47×	body	320	valid
3.0ms	18×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

5.0ms	(/ (sinh y) y)
15.0ms	(* (cos x) (/ (sinh y) y))

series204.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (sinh y) y)
111.0ms	(* (cos x) (/ (sinh y) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	305	403
1	1237	359
2	5002	357

prune151.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(/ y (sinh y))
0.0b	(/ 1 (/ y (sinh y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
105×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
91×	`add-cube-cbrt`
47×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
8×	`sinh-def`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 190

Calls

3 calls:

24.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
2.0ms	(/ y (sinh y))
6.0ms	(/ 1 (/ y (sinh y)))

series405.0ms

Counts

3 → 9

Calls

3 calls:

222.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
93.0ms	(/ y (sinh y))
89.0ms	(/ 1 (/ y (sinh y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	688	1415
1	3372	1222
2	5001	1080

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
0.0b	(/ 1 (sinh y))
0.0b	(/ (/ 1 y) (/ 1 (sinh y)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

898×	`times-frac`
440×	`add-sqr-sqrt`
411×	`*-un-lft-identity`
405×	`add-cube-cbrt`
187×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
59×	`div-inv`
35×	`add-cbrt-cube`
30×	`associate-/r/`
28×	`sinh-def`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp` `associate-/r*`
16×	`associate-/l*`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 511

Calls

3 calls:

67.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
3.0ms	(/ 1 (sinh y))
14.0ms	(/ (/ 1 y) (/ 1 (sinh y)))

series248.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
70.0ms	(/ 1 (sinh y))
88.0ms	(/ (/ 1 y) (/ 1 (sinh y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

520 → 520

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1973	5021
1	5001	4375

prune946.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))
0.1b	(exp (* (cos x) (/ (sinh y) y)))
0.6b	(log (exp (* (cos x) (/ (sinh y) y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-l` `associate-/r` `log-pow` `associate-/l`
2×	`cbrt-undiv` `exp-prod` `exp-to-pow` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log` `associate-/l/`

Counts

4 → 92

Calls

4 calls:

3.0ms	(/ (sinh y) y)
9.0ms	(* (cos x) (/ (sinh y) y))
2.0ms	(exp (* (cos x) (/ (sinh y) y)))
2.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (sinh y) y)
90.0ms	(* (cos x) (/ (sinh y) y))
115.0ms	(exp (* (cos x) (/ (sinh y) y)))
94.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	486	695
1	1955	615
2	5001	615

prune285.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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	11	5
1	11	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

952.0ms	2900×	body	1280	valid
534.0ms	2480×	body	640	valid
517.0ms	8439×	body	80	valid
185.0ms	1219×	body	320	valid
70.0ms	597×	body	160	valid