Details

analyze212.0ms

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

sample61.0ms

Algorithm

intervals

Results

18.0ms	39×	body	1280	valid
11.0ms	158×	body	80	valid
10.0ms	34×	body	640	valid
5.0ms	256×	pre	80	true
3.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify423.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune26.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
0.1b	(* 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))))
8.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
7.0ms	(* e (cos v))

series51.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
21.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
15.0ms	(* e (cos v))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	1103

prune148.0ms

Filtered

71 candidates to 90 candidates (-26.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 (* e (cos v))))
0.0b	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 (* e (cos v))))
11.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
4.0ms	(* e (sin v))
4.0ms	(* e (cos v))

series46.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1 (+ 1.0 (* e (cos v))))
19.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
10.0ms	(* e (sin v))
7.0ms	(* e (cos v))

simplify62.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	1211
1	4957	1211

prune138.0ms

Filtered

74 candidates to 121 candidates (-63.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
0.1b	(/ (+ (* e (cos v)) 1.0) (sin v))
0.1b	(* e (cos v))
0.2b	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
108×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
9×	`pow1`
8×	`prod-exp`
7×	`cbrt-undiv`
6×	`associate-l` `associate-/l*` `unswap-sqr`
4×	`rec-exp` `1-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow-flip` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 196

Calls

4 calls:

17.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
9.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms	(* e (cos v))
8.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
16.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify58.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	3011
1	4978	3011

prune262.0ms

Filtered

141 candidates to 208 candidates (-47.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	209	7	216

Merged error: 0.0b

Counts

216 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
22.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify71.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune151.0ms

Filtered

102 candidates to 126 candidates (-23.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0.0b

Counts

133 → 7

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

696.0ms	1486×	body	1280	valid
348.0ms	1187×	body	640	valid
298.0ms	4414×	body	80	valid
153.0ms	8000×	pre	80	true
134.0ms	629×	body	320	valid
39.0ms	284×	body	160	valid

Details

analyze212.0ms

sample61.0ms

simplify423.0ms

prune26.0ms

localize13.0ms

rewrite23.0ms

series51.0ms

simplify54.0ms

prune148.0ms

localize12.0ms

rewrite27.0ms

series46.0ms

simplify62.0ms

prune138.0ms

localize12.0ms

rewrite45.0ms

series57.0ms

simplify58.0ms

prune262.0ms

localize10.0ms

rewrite22.0ms

series43.0ms

simplify71.0ms

prune151.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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