Details

sample83.0ms

Algorithm

intervals

Results

36.0ms	54×	body	1280	valid
18.0ms	43×	body	640	valid
13.0ms	132×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune14.0ms

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:

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

rewrite20.0ms

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))
9.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5002	761

prune160.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	65	10	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	11	77

Merged error: 0.0b

Counts

77 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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)
4.0ms	(/ (sin (* x 0.5)) (sin x))
12.0ms	(* (/ (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)
7.0ms	(/ (sin (* x 0.5)) (sin x))
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5557	1386

prune220.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	6	4	10
Picked	0	1	1
Done	0	0	0
Total	114	10	124

Merged error: 0b

Counts

124 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
0.4b	(* (sin x) (sqrt 3.0))
0.5b	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

10.0ms	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
13.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
6.0ms	(* (sin x) (sqrt 3.0))
7.0ms	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
19.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
5.0ms	(* (sin x) (sqrt 3.0))
9.0ms	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5567	1025

prune187.0ms

Filtered

72 candidates to 107 candidates (-48.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Merged error: 0b

Counts

117 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3)))
0.4b	(pow (/ (sin (* x 0.5)) (sin x)) 3)
0.8b	(cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3))

rewrite41.0ms

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))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (sin (* x 0.5)) (sin x))
15.0ms	(* (/ (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)
7.0ms	(cbrt (pow (/ (sin (* x 0.5)) (sin x)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4994	2835
1	4994	2835

prune287.0ms

Filtered

114 candidates to 205 candidates (-79.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	206	9	215

Merged error: 0b

Counts

215 → 9

regimes298.0ms

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	1507×	body	1280	valid
530.0ms	1222×	body	640	valid
432.0ms	4336×	body	80	valid
192.0ms	617×	body	320	valid
65.0ms	318×	body	160	valid

Details

sample83.0ms

simplify5.0ms

prune14.0ms

localize11.0ms

rewrite20.0ms

series22.0ms

simplify41.0ms

prune160.0ms

localize11.0ms

rewrite24.0ms

series21.0ms

simplify66.0ms

prune220.0ms

localize13.0ms

rewrite38.0ms

series50.0ms

simplify50.0ms

prune187.0ms

localize16.0ms

rewrite41.0ms

series41.0ms

simplify46.0ms

prune287.0ms

regimes298.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Profiling