Details

analyze819.0ms

Algorithm: search

sample82.0ms

Algorithm

intervals

Results

41.0ms	59×	body	1280	valid
14.0ms	138×	body	80	valid
13.0ms	30×	body	640	valid
6.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify16.0ms

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

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: 13.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.9b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite32.0ms

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:

12.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
10.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (48.0ms)

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

prune187.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	76	12	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	12	89

Merged error: 0.1b

Counts

89 → 12

localize14.0ms

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)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite26.0ms

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

series22.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (sin (* 0.5 x)) (sin x))
12.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify65.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

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

prune208.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Merged error: 0b

Counts

119 → 10

localize11.0ms

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)))

rewrite21.0ms

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

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (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)))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (48.0ms)

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

prune195.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Merged error: 0b

Counts

112 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`exp-prod`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
28×	`log-pow`
17×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`div-inv`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `rem-log-exp` `associate-l` `associate-l/` `clear-num` `*-commutative` `rem-exp-log`

Counts

4 → 114

Calls

4 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
5.0ms	(log (exp (/ (sin (* 0.5 x)) (sin x))))
13.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (exp (/ (sin (* 0.5 x)) (sin x)))))
4.0ms	(exp (/ (sin (* 0.5 x)) (sin x)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (sin (* 0.5 x)) (sin x))
7.0ms	(log (exp (/ (sin (* 0.5 x)) (sin x))))
14.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (exp (/ (sin (* 0.5 x)) (sin x)))))
12.0ms	(exp (/ (sin (* 0.5 x)) (sin x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	437	1183
1	1972	1024
2	5001	1000

prune250.0ms

Filtered

95 candidates to 126 candidates (-32.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	126	10	136

Merged error: 0b

Counts

136 → 10

regimes128.0ms

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

analyze818.0ms

Algorithm: search

sample2.4s

Algorithm

intervals

Results

1.1s	1567×	body	1280	valid
547.0ms	1217×	body	640	valid
431.0ms	4306×	body	80	valid
176.0ms	610×	body	320	valid
60.0ms	300×	body	160	valid

Details

analyze819.0ms

sample82.0ms

simplify16.0ms

prune3.0ms

localize11.0ms

rewrite32.0ms

series21.0ms

simplify57.0ms

prune187.0ms

localize14.0ms

rewrite26.0ms

series22.0ms

simplify65.0ms

prune208.0ms

localize11.0ms

rewrite21.0ms

series22.0ms

simplify58.0ms

prune195.0ms

localize15.0ms

rewrite30.0ms

series40.0ms

simplify59.0ms

prune250.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze818.0ms

sample2.4s

Profiling