Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	58×	body	1280	valid
12.0ms	69×	body	640	valid
11.0ms	294×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	16×	body	160	valid

simplify51.0ms

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	144	4
4	278	4
5	517	4
6	1455	4
7	5002	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

localize6.0ms

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)

rewrite20.0ms

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×	`sinh-def` `associate-/r*` `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 → 93

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
12.0ms	(/ (* (sin x) (sinh y)) x)

series259.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
101.0ms	(/ (* (sin x) (sinh y)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	408	700
1	1720	650
2	5002	636

prune178.0ms

Filtered

102 candidates to 79 candidates (22.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Merged error: 0b

Counts

103 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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` `frac-2neg` `clear-num` `add-log-exp`
2×	`sinh-def`
1×	`associate-/l/`

Counts

3 → 114

Calls

3 calls:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
90.0ms	(/ (sinh y) (/ x (sin x)))
34.0ms	(/ x (sin x))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	461	916
1	1902	866
2	5001	863

prune231.0ms

Filtered

123 candidates to 100 candidates (18.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	124	7	131

Merged error: 0b

Counts

131 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sinh y) (/ (sin x) x))
4.0ms	(/ (sin x) x)

series190.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
91.0ms	(* (sinh y) (/ (sin x) x))
31.0ms	(/ (sin x) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	359	542
1	1530	497
2	5002	458

prune158.0ms

Filtered

96 candidates to 69 candidates (28.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	96	7	103

Merged error: 0b

Counts

103 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

379×	`times-frac`
295×	`add-sqr-sqrt`
263×	`associate-l`
208×	`add-cube-cbrt` `*-un-lft-identity`
87×	`associate-/l*`
78×	`associate-r`
41×	`unswap-sqr`
38×	`associate-*l/`
32×	`add-exp-log` `add-cbrt-cube`
26×	`*-commutative`
22×	`associate-/l/`
12×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`div-inv`
6×	`pow1`
4×	`sinh-def` `frac-2neg` `clear-num` `add-log-exp`
3×	`associate-*r/`
1×	`pow-prod-down`

Counts

4 → 398

Calls

4 calls:

1.0ms	(sinh y)
27.0ms	(/ (* (/ (* 2 (sinh y)) x) (sin x)) 2)
8.0ms	(/ (* 2 (sinh y)) x)
19.0ms	(* (/ (* 2 (sinh y)) x) (sin x))

series337.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
96.0ms	(/ (* (/ (* 2 (sinh y)) x) (sin x)) 2)
83.0ms	(/ (* 2 (sinh y)) x)
96.0ms	(* (/ (* 2 (sinh y)) x) (sin x))

simplify81.0ms

Algorithm

egg-herbie

Counts

410 → 410

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1506	3757
1	5001	3580

prune823.0ms

Filtered

410 candidates to 336 candidates (18.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	410	0	410
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	410	7	417

Merged error: 0b

Counts

417 → 7

regimes113.0ms

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

sample2.0s

Algorithm

intervals

Results

710.0ms	1843×	body	1280	valid
404.0ms	10364×	body	80	valid
377.0ms	2063×	body	640	valid
135.0ms	1124×	body	320	valid
59.0ms	650×	body	160	valid