Details

sample77.0ms

Algorithm

intervals

Results

32.0ms	41×	body	1280	valid
14.0ms	34×	body	640	valid
12.0ms	139×	body	80	valid
8.0ms	28×	body	320	valid
3.0ms	14×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	43	9
2	93	9
3	174	9
4	269	9
5	288	9
6	288	9

prune3.0ms

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: 16.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
15.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

8.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
6.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
3.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	818
1	2097	614
2	5002	599

prune205.0ms

Filtered

88 candidates to 62 candidates (29.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	78	10	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	10	89

Merged error: 0.1b

Counts

89 → 10

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
10.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
6.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	463	970
1	2477	779
2	5002	764

prune208.0ms

Filtered

107 candidates to 74 candidates (30.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	106	11	117

Merged error: 0b

Counts

117 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
4.0ms	(/ (sin (* 0.5 x)) (sin x))
9.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (sin (* 0.5 x)) 3.0)
7.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	426	934
1	2116	775
2	5001	753

prune190.0ms

Filtered

102 candidates to 73 candidates (28.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	102	11	113

Merged error: 0b

Counts

113 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin x))
0.1b	(/ (sin (* 0.5 x)) 3.0)
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin (* 0.5 x)) (/ 1 (sin x))))
0.2b	(* (sin (* 0.5 x)) (/ 1 (sin x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
49×	`add-cbrt-cube`
41×	`prod-exp`
35×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `times-frac`
28×	`add-cube-cbrt`
23×	`cbrt-unprod`
19×	`pow1`
16×	`div-exp`
14×	`associate-r`
9×	`cbrt-undiv` `pow-prod-down`
8×	`associate-*r/`
6×	`associate-/r` `associate-/l`
5×	`rec-exp` `1-exp`
4×	`associate-l` `add-log-exp`
3×	`un-div-inv` `div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `associate-*l/` `inv-pow`

Counts

4 → 137

Calls

4 calls:

3.0ms	(/ 1 (sin x))
4.0ms	(/ (sin (* 0.5 x)) 3.0)
12.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin (* 0.5 x)) (/ 1 (sin x))))
8.0ms	(* (sin (* 0.5 x)) (/ 1 (sin x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (sin x))
4.0ms	(/ (sin (* 0.5 x)) 3.0)
11.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (* (sin (* 0.5 x)) (/ 1 (sin x))))
6.0ms	(* (sin (* 0.5 x)) (/ 1 (sin x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	552	1237
1	2509	969
2	5002	895

prune164.0ms

Filtered

149 candidates to 80 candidates (46.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	149	11	160

Merged error: 0b

Counts

160 → 11

regimes131.0ms

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	9
1	14	9

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	1533×	body	1280	valid
505.0ms	1201×	body	640	valid
386.0ms	4347×	body	80	valid
175.0ms	593×	body	320	valid
74.0ms	326×	body	160	valid

Details

sample77.0ms

simplify14.0ms

prune3.0ms

localize10.0ms

rewrite28.0ms

series20.0ms

simplify55.0ms

prune205.0ms

localize13.0ms

rewrite24.0ms

series22.0ms

simplify58.0ms

prune208.0ms

localize12.0ms

rewrite20.0ms

series21.0ms

simplify57.0ms

prune190.0ms

localize15.0ms

rewrite33.0ms

series25.0ms

simplify69.0ms

prune164.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

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