Details

analyze794.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample78.0ms

Algorithm

intervals

Results

31.0ms	49×	body	1280	valid
21.0ms	51×	body	640	valid
11.0ms	128×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune12.0ms

Filtered

1 candidates to 1 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 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 3.0 (sin x))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

4.0ms	(* 3.0 (sin x))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
8.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

series22.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 3.0 (sin x))
8.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
11.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune160.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	13	77

Merged error: 0.0b

Counts

77 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 104

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) 3.0)
6.0ms	(/ (sin (* x 0.5)) (sin x))
10.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (sin (* x 0.5)) 3.0)
6.0ms	(/ (sin (* x 0.5)) (sin x))
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune223.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	4	7	11
Picked	0	1	1
Done	1	0	1
Total	115	11	126

Merged error: 0b

Counts

126 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (/ (sin x) (sin (* x 0.5))))
0.2b	(/ (sin x) (sin (* x 0.5)))
0.2b	(/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5)))))
0.3b	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
24×	`prod-exp`
21×	`associate-r`
20×	`div-exp`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`rec-exp` `1-exp` `associate-l` `associate-/l*`
4×	`associate-r/` `associate-/r` `div-inv` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r/` `*-commutative`
1×	`un-div-inv` `inv-pow`

Counts

4 → 129

Calls

4 calls:

7.0ms	(* 3.0 (/ (sin x) (sin (* x 0.5))))
4.0ms	(/ (sin x) (sin (* x 0.5)))
6.0ms	(/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5)))))
11.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 3.0 (/ (sin x) (sin (* x 0.5))))
6.0ms	(/ (sin x) (sin (* x 0.5)))
8.0ms	(/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5)))))
13.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

simplify66.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4941	1532
1	4941	1532

prune210.0ms

Filtered

86 candidates to 141 candidates (-64.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	141	11	152

Merged error: 0b

Counts

152 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3)))
0.5b	(pow (/ (sin (* x 0.5)) (sin x)) 3)
0.8b	(cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
83×	`times-frac`
76×	`cbrt-prod`
65×	`add-cube-cbrt` `*-un-lft-identity`
43×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
14×	`add-exp-log` `unswap-sqr`
13×	`associate-l`
12×	`add-cbrt-cube`
8×	`div-inv`
7×	`pow1`
5×	`sqr-pow`
4×	`cube-div` `add-log-exp`
3×	`cbrt-undiv` `cube-mult` `pow-unpow` `cbrt-div` `unpow3` `div-exp` `associate-/r` `associate-/l`
2×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt`
1×	`frac-times` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `rem-cbrt-cube`

Counts

4 → 193

Calls

4 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
18.0ms	(* (/ (sin (* x 0.5)) 3.0) (cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3)))
5.0ms	(pow (/ (sin (* x 0.5)) (sin x)) 3)
5.0ms	(cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3))

series39.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (sin (* x 0.5)) (sin x))
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3)))
12.0ms	(pow (/ (sin (* x 0.5)) (sin x)) 3)
10.0ms	(cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5028	2835

prune288.0ms

Filtered

114 candidates to 205 candidates (-79.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	4	4	8
Picked	0	1	1
Done	0	2	2
Total	207	9	216

Merged error: 0b

Counts

216 → 9

regimes120.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	1483×	body	1280	valid
565.0ms	1225×	body	640	valid
437.0ms	4351×	body	80	valid
185.0ms	598×	body	320	valid
72.0ms	343×	body	160	valid

Details

analyze794.0ms

sample78.0ms

simplify4.0ms

prune12.0ms

localize11.0ms

rewrite19.0ms

series22.0ms

simplify64.0ms

prune160.0ms

localize11.0ms

rewrite23.0ms

series21.0ms

simplify63.0ms

prune223.0ms

localize12.0ms

rewrite32.0ms

series36.0ms

simplify66.0ms

prune210.0ms

localize14.0ms

rewrite39.0ms

series39.0ms

simplify43.0ms

prune288.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

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