Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	61×	body	1280	valid
16.0ms	340×	body	80	valid
9.0ms	50×	body	640	valid
6.0ms	49×	body	320	valid
3.0ms	30×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	517	4
6	1455	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: 14.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.7b	(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series233.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
91.0ms	(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune127.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0b

Counts

59 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite13.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

3.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) x))

series221.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (sinh y) x)
57.0ms	(sinh y)
93.0ms	(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune184.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0b

Counts

83 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

3.0ms	(/ x (sinh y))
1.0ms	(sinh y)
6.0ms	(/ (sin x) (/ x (sinh y)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ x (sinh y))
63.0ms	(sinh y)
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune301.0ms

Filtered

119 candidates to 98 candidates (82.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.4b	(* (/ 2 (/ x (sinh y))) (* 1/2 (sin x)))
0.4b	(/ 2 (/ x (sinh y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
91×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`associate-l`
32×	`add-exp-log` `add-cbrt-cube`
17×	`associate-/r*`
10×	`cbrt-undiv` `div-exp` `associate-/r/` `div-inv`
9×	`pow1` `sinh-def` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`associate-r` `associate-l/` `-commutative`

Counts

4 → 181

Calls

4 calls:

7.0ms	(/ x (sinh y))
1.0ms	(sinh y)
13.0ms	(* (/ 2 (/ x (sinh y))) (* 1/2 (sin x)))
6.0ms	(/ 2 (/ x (sinh y)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ x (sinh y))
58.0ms	(sinh y)
94.0ms	(* (/ 2 (/ x (sinh y))) (* 1/2 (sin x)))
87.0ms	(/ 2 (/ x (sinh y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	828	1386
1	4441	1242
2	5001	1227

prune523.0ms

Filtered

193 candidates to 161 candidates (83.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	193	6	199

Merged error: 0b

Counts

199 → 6

regimes76.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample1.8s

Algorithm

intervals

Results

531.0ms	1873×	body	1280	valid
409.0ms	10252×	body	80	valid
358.0ms	1896×	body	640	valid
159.0ms	1219×	body	320	valid
52.0ms	592×	body	160	valid