Details

sample62.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
11.0ms	37×	body	640	valid
8.0ms	131×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	14×	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

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: 16.0b

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)))
15.8b	(/ (* (* (/ 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)))
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))

series163.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
35.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
74.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (48.0ms)

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

prune216.0ms

Filtered

88 candidates to 62 candidates (70.5%)

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:

0.2b	(/ (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)))

rewrite25.0ms

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin (* 0.5 x)) (sin x))
73.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
35.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (53.0ms)

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

prune246.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	8	3	11
Picked	0	1	1
Done	0	0	0
Total	107	12	119

Merged error: 0b

Counts

119 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

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

series147.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ (sin (* 0.5 x)) 3.0)
39.0ms	(/ (sin (* 0.5 x)) (sin x))
73.0ms	(* (* 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

prune210.0ms

Filtered

102 candidates to 73 candidates (71.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	103	11	114

Merged error: 0b

Counts

114 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

5.0ms	(log (exp (/ (sin (* 0.5 x)) (sin x))))
5.0ms	(/ (sin (* 0.5 x)) (sin x))
17.0ms	(* (* 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)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(log (exp (/ (sin (* 0.5 x)) (sin x))))
36.0ms	(/ (sin (* 0.5 x)) (sin x))
74.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (log (exp (/ (sin (* 0.5 x)) (sin x)))))
75.0ms	(exp (/ (sin (* 0.5 x)) (sin x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (46.0ms)

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

prune272.0ms

Filtered

126 candidates to 96 candidates (76.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	126	11	137

Merged error: 0b

Counts

137 → 11

regimes86.0ms

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	16	11
1	16	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

733.0ms	1513×	body	1280	valid
391.0ms	1226×	body	640	valid
288.0ms	4320×	body	80	valid
144.0ms	629×	body	320	valid
47.0ms	312×	body	160	valid