Details

sample78.0ms

Algorithm

intervals

Results

32.0ms	121×	body	1280	valid
13.0ms	277×	body	80	valid
12.0ms	79×	body	640	valid
6.0ms	49×	body	320	valid
1.0ms	16×	body	160	valid

simplify73.0ms

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	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

8.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	240	235
1	1048	204
2	5001	194

prune84.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite37.0ms

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×	`*-commutative` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*l/`

Counts

2 → 68

Calls

2 calls:

23.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(* (cos x) (sqrt (/ (sinh y) y)))

series295.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
180.0ms	(* (cos x) (sqrt (/ (sinh y) y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	847	947
1	4227	820
2	5001	812

prune212.0ms

Filtered

74 candidates to 55 candidates (74.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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` `sinh-def` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

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

series145.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (sinh y) (cos x))
75.0ms	(/ (* (sinh y) (cos x)) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	250	277
1	1030	234
2	5001	216

prune82.0ms

Filtered

47 candidates to 33 candidates (70.2%)

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	(* (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)))))

rewrite183.0ms

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×	`swap-sqr` `add-log-exp` `unswap-sqr`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `div-inv`

Counts

4 → 145

Calls

4 calls:

10.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
19.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
17.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
130.0ms	(* (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
191.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
191.0ms	(sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))
123.0ms	(* (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1166	2212
1	5002	1915

prune390.0ms

Filtered

157 candidates to 84 candidates (53.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample2.0s

Algorithm

intervals

Results

797.0ms	2927×	body	1280	valid
408.0ms	2459×	body	640	valid
309.0ms	8615×	body	80	valid
145.0ms	1273×	body	320	valid
50.0ms	644×	body	160	valid