Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	90×	body	1280	valid
12.0ms	73×	body	640	valid
11.0ms	281×	body	80	valid
4.0ms	37×	body	320	valid
2.0ms	29×	body	160	valid

simplify55.0ms

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: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.5b	(* (sin x) (/ (sinh 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` `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:

4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series250.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (sinh y) y)
57.0ms	(sinh y)
106.0ms	(* (sin x) (/ (sinh y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397

prune355.0ms

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: 0.5b

Counts

84 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
4.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
116.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify108.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	143	289
1	652	247
2	3764	247
3	5001	246

prune94.0ms

Filtered

38 candidates to 27 candidates (71.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	38	3	41

Merged error: 0.5b

Counts

41 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b	(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
0.0b	(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
3.5b	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
8×	`pow1`
7×	`exp-sum`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`log-pow` `unswap-sqr`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `rem-exp-log`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
6.0ms	(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
2.0ms	(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
1.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
110.0ms	(* (sin x) (exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
41.0ms	(exp (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))
106.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify128.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	251	599
1	899	525
2	4445	504
3	5001	501

prune232.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	76	4	80

Merged error: 0.5b

Counts

80 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
0.0b	(pow (exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))) (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
3.5b	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
3.5b	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`exp-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
10×	`pow1`
8×	`pow-pow`
7×	`pow-unpow`
6×	`add-exp-log` `log-prod`
5×	`log-pow` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down`
2×	`rem-log-exp`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

2.0ms	(exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
5.0ms	(pow (exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))) (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
1.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
1.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series727.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
385.0ms	(pow (exp (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))))) (sqrt (log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))))
107.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))
108.0ms	(log (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	424	1116
1	1548	945
2	5001	908

prune331.0ms

Filtered

87 candidates to 67 candidates (77.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	88	3	91

Merged error: 0.5b

Counts

91 → 3

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

849.0ms	2869×	body	1280	valid
448.0ms	2415×	body	640	valid
356.0ms	8533×	body	80	valid
159.0ms	1287×	body	320	valid
50.0ms	579×	body	160	valid