Details

sample72.0ms

Algorithm

intervals

Results

28.0ms	103×	body	1280	valid
17.0ms	99×	body	640	valid
9.0ms	267×	body	80	valid
3.0ms	27×	body	320	valid
2.0ms	20×	body	160	valid

simplify45.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(* (cos x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)

series224.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(sinh y)
85.0ms	(* (cos x) (/ (sinh y) y))
84.0ms	(/ (sinh y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	339	443
1	1326	398
2	5001	396

prune150.0ms

Filtered

83 candidates to 67 candidates (80.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
53×	`add-cube-cbrt` `*-un-lft-identity`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`pow-prod-down` `associate-/r` `div-inv` `associate-/l`
5×	`associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`cbrt-undiv` `frac-times` `sinh-def` `frac-2neg` `div-exp` `associate-l/` `clear-num` `-commutative` `associate-/l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 173

Calls

4 calls:

12.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
13.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
81.0ms	(/ (sinh y) y)
94.0ms	(/ (sinh y) y)
82.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	816	1369
1	3962	1224
2	5001	1201

prune415.0ms

Filtered

185 candidates to 131 candidates (70.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	185	3	188

Merged error: 0b

Counts

188 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (* (sinh y) (/ 1 y)))
0.2b	(* (sinh y) (/ 1 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

1.0ms	(sinh y)
10.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
7.0ms	(* (sinh y) (/ 1 y))

series222.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(sinh y)
84.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
83.0ms	(* (sinh y) (/ 1 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	419	478
1	1627	394
2	5002	353

prune145.0ms

Filtered

87 candidates to 62 candidates (71.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

regimes77.0ms

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	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

806.0ms	2996×	body	1280	valid
395.0ms	2444×	body	640	valid
323.0ms	8676×	body	80	valid
131.0ms	1198×	body	320	valid
47.0ms	618×	body	160	valid