Details

sample76.0ms

Algorithm

intervals

Results

28.0ms	75×	body	1280	valid
15.0ms	71×	body	640	valid
13.0ms	243×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	21×	body	160	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series147.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cosh x)
75.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	303	450
1	1150	402
2	5002	380

prune189.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.1b	(/ (* (cosh x) (sin y)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

0.0ms	(cosh x)
4.0ms	(* (cosh x) (sin y))
4.0ms	(/ (* (cosh x) (sin y)) y)

series184.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(cosh x)
67.0ms	(* (cosh x) (sin y))
74.0ms	(/ (* (cosh x) (sin y)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	276	337
1	1063	287
2	5001	259

prune140.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.1b	(/ 1 (/ y (* (cosh x) (sin y))))
0.2b	(/ y (* (cosh x) (sin y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
32×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`div-exp`
9×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `cosh-def`
6×	`associate-l/` `associate-/r/` `div-inv` `associate-/l`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

0.0ms	(cosh x)
4.0ms	(* (cosh x) (sin y))
8.0ms	(/ 1 (/ y (* (cosh x) (sin y))))
4.0ms	(/ y (* (cosh x) (sin y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cosh x)
68.0ms	(* (cosh x) (sin y))
79.0ms	(/ 1 (/ y (* (cosh x) (sin y))))
126.0ms	(/ y (* (cosh x) (sin y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	456	876
1	2011	720
2	5001	667

prune234.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.3b	(* (/ 1 y) (* (cosh x) (sin y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-l`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-r` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `div-inv` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

0.0ms	(cosh x)
4.0ms	(* (cosh x) (sin y))
14.0ms	(* (/ 1 y) (* (cosh x) (sin y)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(cosh x)
70.0ms	(* (cosh x) (sin y))
81.0ms	(* (/ 1 y) (* (cosh x) (sin y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	385	480
1	1568	394
2	5002	372

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	3008×	body	1280	valid
512.0ms	2443×	body	640	valid
433.0ms	8535×	body	80	valid
178.0ms	1233×	body	320	valid
66.0ms	646×	body	160	valid