Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

776×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	228	4
4	411	4
5	786	4
6	2469	4
7	5002	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: 7.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cosh-def`
8×	`associate-/l/`
7×	`clear-num`
6×	`frac-times` `associate-*r/`
5×	`frac-2neg`
3×	`div-inv` `associate-/l*`
2×	`associate-r` `associate-l/` `un-div-inv` `-commutative`

Counts

3 → 25

Calls

3 calls:

1.0ms	(cosh x)
3.0ms	(* (cosh x) (/ y x))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series420.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(cosh x)
264.0ms	(* (cosh x) (/ y x))
113.0ms	(/ (* (cosh x) (/ y x)) z)

simplify86.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	178	123
1	575	120
2	3541	85
3	5002	85

prune73.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Merged error: 0.0b

Counts

35 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (- y))
5.9b	(/ (* (cosh x) (- y)) (* z (- x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`neg-mul-1` `times-frac` `associate-r` `*-commutative`
3×	`cosh-def` `associate-/r` `associate-/l`
2×	`associate-*l/` `distribute-rgt-neg-out`
1×	`frac-2neg` `distribute-frac-neg` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 25

Calls

3 calls:

1.0ms	(cosh x)
3.0ms	(* (cosh x) (- y))
5.0ms	(/ (* (cosh x) (- y)) (* z (- x)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cosh x)
70.0ms	(* (cosh x) (- y))
107.0ms	(/ (* (cosh x) (- y)) (* z (- x)))

simplify134.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	226	159
1	727	152
2	4233	127
3	5001	127

prune84.0ms

Filtered

34 candidates to 30 candidates (88.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) y)
0.2b	(/ 1 (/ x (/ (* (cosh x) y) z)))
6.3b	(/ x (/ (* (cosh x) y) z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-/r/`
9×	`associate-/r*`
6×	`clear-num`
5×	`frac-2neg` `div-inv`
4×	`cosh-def` `associate-/l*`
3×	`associate-l/` `-commutative`
2×	`associate-/l/`
1×	`remove-double-div` `inv-pow`

Counts

4 → 29

Calls

4 calls:

1.0ms	(cosh x)
2.0ms	(* (cosh x) y)
5.0ms	(/ 1 (/ x (/ (* (cosh x) y) z)))
4.0ms	(/ x (/ (* (cosh x) y) z))

series391.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh x)
67.0ms	(* (cosh x) y)
150.0ms	(/ 1 (/ x (/ (* (cosh x) y) z)))
132.0ms	(/ x (/ (* (cosh x) y) z))

simplify125.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	213	159
1	778	157
2	4181	110
3	5001	110

prune86.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh x)
0.0b	(* y (cosh x))
0.2b	(/ 1 (/ x (/ (* y (cosh x)) z)))
6.3b	(/ x (/ (* y (cosh x)) z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-/r/`
9×	`associate-/r*`
6×	`clear-num`
5×	`frac-2neg` `div-inv`
4×	`cosh-def` `associate-/l*`
3×	`associate-r/` `-commutative`
2×	`associate-/l/`
1×	`remove-double-div` `inv-pow`

Counts

4 → 29

Calls

4 calls:

1.0ms	(cosh x)
2.0ms	(* y (cosh x))
5.0ms	(/ 1 (/ x (/ (* y (cosh x)) z)))
4.0ms	(/ x (/ (* y (cosh x)) z))

series358.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(cosh x)
61.0ms	(* y (cosh x))
113.0ms	(/ 1 (/ x (/ (* y (cosh x)) z)))
142.0ms	(/ x (/ (* y (cosh x)) z))

simplify128.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	209	156
1	767	154
2	4092	109
3	5001	109

prune79.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

regimes91.0ms

Accuracy

95.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.8b

bsearch81.0ms

Steps

Iters	Range		Point
7	1.3705884739249824e+26	1.9235933371893114e+28	2.7108396115711274e+26
8	-447338000591712.4	-1057310074313.8527	-1066615151038.6259

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	41	15
2	42	15
3	42	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

648.0ms

22188×

body

valid