Details

sample69.0ms

Algorithm

intervals

Results

25.0ms	87×	body	1280	valid
14.0ms	77×	body	640	valid
11.0ms	262×	body	80	valid
5.0ms	41×	body	320	valid
2.0ms	20×	body	160	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.1b	(/ (sin y) y)
0.2b	(* (cosh x) (/ (sin 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×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

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

series156.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(cosh x)
25.0ms	(/ (sin y) y)
79.0ms	(* (cosh x) (/ (sin y) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	432
1	1116	386
2	5002	364

prune160.0ms

Filtered

78 candidates to 59 candidates (75.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	70	8	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	8	79

Merged error: 0.3b

Counts

79 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (sin y))
0.0b	(cosh x)
0.5b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`cosh-def` `div-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

4.0ms	(* (cosh x) (sin y))
1.0ms	(cosh x)
8.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series189.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (cosh x) (sin y))
43.0ms	(cosh x)
76.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	400	468
1	1826	384
2	5001	351

prune130.0ms

Filtered

76 candidates to 49 candidates (64.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	75	9	84

Merged error: 0.2b

Counts

84 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
11×	`cbrt-div`
9×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
5×	`frac-times` `associate-*r/`
4×	`cosh-def` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

11.0ms	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (/ (sin y) y))

series585.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
140.0ms	(cbrt (/ (sin y) y))
135.0ms	(cbrt (/ (sin y) y))
135.0ms	(cbrt (/ (sin y) y))

simplify122.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	332	878
1	1017	815
2	4314	775
3	5001	775

prune291.0ms

Filtered

104 candidates to 89 candidates (85.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Merged error: 0.2b

Counts

113 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1))
0.0b	(* (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (/ (sin y) y))
0.1b	(/ (sin y) y)
0.1b	(* 1/24 (pow x 4))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
19×	`times-frac`
16×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`add-log-exp`
6×	`pow1` `associate-l`
5×	`prod-exp` `unswap-sqr`
4×	`unpow-prod-down`
3×	`flip3-+` `associate-/r` `sum-log` `cbrt-unprod` `flip-+` `associate-/l`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-l/` `-commutative` `div-inv` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `frac-2neg` `associate-*r/` `pow-prod-down` `pow-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1))
12.0ms	(* (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (/ (sin y) y))
4.0ms	(/ (sin y) y)
5.0ms	(* 1/24 (pow x 4))

series222.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1))
106.0ms	(* (+ (* 1/2 (pow x 2)) (+ (* 1/24 (pow x 4)) 1)) (/ (sin y) y))
26.0ms	(/ (sin y) y)
42.0ms	(* 1/24 (pow x 4))

simplify69.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	433	899
1	2208	811
2	5002	807

prune279.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	113	9	122

Merged error: 0.2b

Counts

122 → 9

regimes384.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample2.2s

Algorithm

intervals

Results

876.0ms	2935×	body	1280	valid
453.0ms	2436×	body	640	valid
358.0ms	8551×	body	80	valid
152.0ms	1192×	body	320	valid
58.0ms	624×	body	160	valid