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

sample243.0ms

Algorithm

intervals

Results

201.0ms	39×	body	1280	valid
10.0ms	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

simplify416.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune23.0ms

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

rewrite22.0ms

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)))))
6.0ms	(* e (cos v))

series47.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
20.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
14.0ms	(* e (cos v))

simplify50.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5110	1103

prune159.0ms

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

localize14.0ms

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))

rewrite25.0ms

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:

4.0ms	(/ 1 (+ 1.0 (* e (cos v))))
10.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
4.0ms	(* e (sin v))
4.0ms	(* e (cos v))

series42.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1 (+ 1.0 (* e (cos v))))
18.0ms	(* (* e (sin v)) (/ 1 (+ 1.0 (* e (cos v)))))
7.0ms	(* e (sin v))
7.0ms	(* e (cos v))

simplify63.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4957	1211
1	4957	1211

prune180.0ms

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

localize11.0ms

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)))

rewrite41.0ms

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:

16.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
6.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
4.0ms	(* e (cos v))
8.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* e (/ 1 (/ (+ (* e (cos v)) 1.0) (sin v))))
17.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
15.0ms	(/ 1 (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify55.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	3011
1	4978	3011

prune326.0ms

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)))

rewrite21.0ms

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)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
18.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify71.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune160.0ms

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

regimes110.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

688.0ms	1486×	body	1280	valid
341.0ms	1187×	body	640	valid
283.0ms	4414×	body	80	valid
138.0ms	8000×	pre	80	true
125.0ms	629×	body	320	valid
38.0ms	284×	body	160	valid

Details

analyze26.0ms

sample243.0ms

simplify416.0ms

prune23.0ms

localize12.0ms

rewrite22.0ms

series47.0ms

simplify50.0ms

prune159.0ms

localize14.0ms

rewrite25.0ms

series42.0ms

simplify63.0ms

prune180.0ms

localize11.0ms

rewrite41.0ms

series56.0ms

simplify55.0ms

prune326.0ms

localize10.0ms

rewrite21.0ms

series40.0ms

simplify71.0ms

prune160.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

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