Details

sample80.0ms

Algorithm

intervals

Results

35.0ms	121×	body	1280	valid
13.0ms	79×	body	640	valid
11.0ms	277×	body	80	valid
5.0ms	49×	body	320	valid
1.0ms	16×	body	160	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

7.0ms

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

series95.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	245	245
1	1067	213
2	5001	203

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`sqrt-prod`
26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*l/`

Counts

2 → 72

Calls

2 calls:

12.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms	(* (cos x) (sqrt (/ (sinh y) y)))

series297.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
180.0ms	(* (cos x) (sqrt (/ (sinh y) y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	881	979
1	4309	850
2	5002	819

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (cos x) (sinh y))
0.2b	(/ (* (cos x) (sinh y)) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

4.0ms	(* (cos x) (sinh y))
5.0ms	(/ (* (cos x) (sinh y)) y)

series176.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (cos x) (sinh y))
93.0ms	(/ (* (cos x) (sinh y)) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	258	295
1	1173	250
2	5002	232

prune109.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (sqrt (/ (sinh y) y)))
0.0b	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
0.0b	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
0.1b	(* (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

145×	`pow1`
78×	`pow-prod-down`
71×	`sqrt-div`
66×	`sqrt-pow1`
34×	`associate-*r/`
26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`associate-r`
19×	`frac-times`
17×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
14×	`pow1/2`
13×	`associate-*l/`
11×	`pow-sqr`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `div-inv`

Counts

4 → 153

Calls

4 calls:

9.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
10.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
10.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
29.0ms	(* (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
193.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
192.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
124.0ms	(* (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1218	2312
1	5001	2011

prune460.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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	10	9
1	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

810.0ms	2927×	body	1280	valid
419.0ms	2459×	body	640	valid
326.0ms	8615×	body	80	valid
152.0ms	1273×	body	320	valid
51.0ms	644×	body	160	valid