Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	58×	body	1280	valid
12.0ms	69×	body	640	valid
12.0ms	294×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	16×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 12.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.0b	(/ (* (sin x) (sinh y)) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-r` `associate-l`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `unswap-sqr`
3×	`expm1-log1p-u` `sinh-def` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 99

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
8.0ms	(/ (* (sin x) (sinh y)) x)

series253.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
102.0ms	(/ (* (sin x) (sinh y)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	420	720
1	1760	669
2	5001	654

prune193.0ms

Filtered

108 candidates to 85 candidates (21.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Merged error: 0b

Counts

109 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/` `associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def`
1×	`associate-/l/`

Counts

3 → 120

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) (/ x (sin x)))
6.0ms	(/ x (sin x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
88.0ms	(/ (sinh y) (/ x (sin x)))
31.0ms	(/ x (sin x))

simplify64.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	474	932
1	1939	881
2	5001	879

prune250.0ms

Filtered

129 candidates to 107 candidates (17.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	5	1	6
Picked	0	1	1
Done	0	1	1
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (/ (* 1/2 (sin x)) (/ x 2)) (sinh y))
0.1b	(/ (* 1/2 (sin x)) (/ x 2))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
361×	`add-sqr-sqrt`
285×	`add-cube-cbrt` `*-un-lft-identity`
256×	`associate-l`
90×	`associate-r`
45×	`associate-/r*`
42×	`associate-/l*`
36×	`unswap-sqr`
33×	`add-exp-log` `add-cbrt-cube`
30×	`sinh-def` `*-commutative`
29×	`div-inv`
28×	`frac-times` `associate-*l/`
18×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1` `frac-2neg` `clear-num`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `pow-prod-down`

Counts

3 → 475

Calls

3 calls:

1.0ms	(sinh y)
44.0ms	(* (/ (* 1/2 (sin x)) (/ x 2)) (sinh y))
14.0ms	(/ (* 1/2 (sin x)) (/ x 2))

series206.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
100.0ms	(* (/ (* 1/2 (sin x)) (/ x 2)) (sinh y))
39.0ms	(/ (* 1/2 (sin x)) (/ x 2))

simplify92.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	1858	4100
1	5001	3967

prune1.0s

Filtered

484 candidates to 395 candidates (18.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	483	1	484
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	484	7	491

Merged error: 0b

Counts

491 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
118×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
95×	`add-cube-cbrt`
55×	`associate-r`
32×	`associate-/r*`
29×	`add-exp-log` `add-cbrt-cube`
20×	`associate-*r/`
18×	`associate-/r/`
15×	`associate-l`
13×	`associate-/l*`
10×	`div-inv` `unswap-sqr`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`pow1`
5×	`clear-num`
4×	`frac-2neg`
3×	`expm1-log1p-u` `sinh-def` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`un-div-inv` `*-commutative` `associate-/l/`

Counts

3 → 207

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) (/ x 2))
29.0ms	(* (* 1/2 (sin x)) (/ (sinh y) (/ x 2)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(sinh y)
86.0ms	(/ (sinh y) (/ x 2))
102.0ms	(* (* 1/2 (sin x)) (/ (sinh y) (/ x 2)))

simplify50.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1000	1658
1	5002	1520

prune435.0ms

Filtered

216 candidates to 172 candidates (20.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	215	1	216
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	216	7	223

Merged error: 0b

Counts

223 → 7

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample1.9s

Algorithm

intervals

Results

533.0ms	1843×	body	1280	valid
418.0ms	10364×	body	80	valid
388.0ms	2063×	body	640	valid
141.0ms	1124×	body	320	valid
61.0ms	650×	body	160	valid