Details

analyze26.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample259.0ms

Algorithm

intervals

Results

215.0ms	59×	body	1280	valid
13.0ms	43×	body	640	valid
8.0ms	124×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify421.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune25.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
10.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series49.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
28.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5110	1103

prune135.0ms

Filtered

68 candidates to 90 candidates (-32.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
0.1b	(* e (pow (cos v) 2))
0.2b	(pow (cos v) 2)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`pow1` `associate-l`
7×	`unpow-prod-down` `unswap-sqr`
6×	`prod-exp`
4×	`cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `associate-/r/`
1×	`cbrt-undiv` `flip3--` `pow-pow` `associate-*r/` `div-exp` `flip--` `div-inv`

Counts

4 → 97

Calls

4 calls:

4.0ms	(* e (cos v))
9.0ms	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
6.0ms	(* e (pow (cos v) 2))
3.0ms	(pow (cos v) 2)

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* e (cos v))
30.0ms	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
9.0ms	(* e (pow (cos v) 2))
6.0ms	(pow (cos v) 2)

simplify39.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5305	1106

prune164.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))
0.3b	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
20×	`times-frac`
13×	`pow1`
10×	`associate-r`
8×	`prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3-+` `associate-*l/` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
10.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))
9.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

series74.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
27.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))
27.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5108	1743

prune150.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	122	9	131

Merged error: 0.0b

Counts

131 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))
0.3b	(* (sqrt e) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e))))
0.3b	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
32×	`add-exp-log` `add-cbrt-cube`
22×	`pow1` `associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
16×	`prod-exp` `cbrt-unprod`
12×	`times-frac`
10×	`pow-prod-down`
6×	`unswap-sqr`
5×	`associate-*l/`
4×	`sqrt-pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 117

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
11.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))
15.0ms	(* (sqrt e) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e))))
13.0ms	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (sqrt e))
27.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e)))
31.0ms	(* (sqrt e) (* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e))))
27.0ms	(* (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt (sqrt e))) (sqrt (sqrt e)))

simplify66.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	1992
1	4948	1992

prune120.0ms

Filtered

81 candidates to 129 candidates (-59.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

regimes133.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	24
1	75	24

end0.0ms

sample1.8s

Algorithm

intervals

Results

702.0ms	1498×	body	1280	valid
382.0ms	1307×	body	640	valid
281.0ms	4259×	body	80	valid
136.0ms	8000×	pre	80	true
121.0ms	617×	body	320	valid
47.0ms	319×	body	160	valid

Details

analyze26.0ms

sample259.0ms

simplify421.0ms

prune25.0ms

localize12.0ms

rewrite23.0ms

series49.0ms

simplify56.0ms

prune135.0ms

localize17.0ms

rewrite24.0ms

series51.0ms

simplify39.0ms

prune164.0ms

localize12.0ms

rewrite33.0ms

series74.0ms

simplify50.0ms

prune150.0ms

localize17.0ms

rewrite44.0ms

series99.0ms

simplify66.0ms

prune120.0ms

regimes133.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

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