Details

analyze25.0ms

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

sample273.0ms

Algorithm

intervals

Results

19.0ms	41×	body	1280	valid
12.0ms	43×	body	640	valid
9.0ms	140×	body	80	valid
5.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid

simplify425.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune12.0ms

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: 0.1b

Counts

2 → 2

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))

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

series49.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
21.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
14.0ms	(* e (cos v))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	1103

prune129.0ms

Filtered

70 candidates to 90 candidates (-28.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

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

series35.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (sin v))
6.0ms	(* e (cos v))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune79.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

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

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

simplify60.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	3011
1	4978	3011

prune237.0ms

Filtered

141 candidates to 208 candidates (-47.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	207	8	215

Merged error: 0b

Counts

215 → 8

localize11.0ms

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))
8.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
6.0ms	(* e (cos v))
19.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune134.0ms

Filtered

102 candidates to 126 candidates (-23.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	127	7	134

Merged error: 0b

Counts

134 → 7

regimes165.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

707.0ms	1551×	body	1280	valid
358.0ms	1270×	body	640	valid
261.0ms	4252×	body	80	valid
122.0ms	620×	body	320	valid
41.0ms	307×	body	160	valid

Details

analyze25.0ms

sample273.0ms

simplify425.0ms

prune12.0ms

localize12.0ms

rewrite23.0ms

series49.0ms

simplify56.0ms

prune129.0ms

localize11.0ms

rewrite15.0ms

series35.0ms

simplify57.0ms

prune79.0ms

localize12.0ms

rewrite45.0ms

series56.0ms

simplify60.0ms

prune237.0ms

localize11.0ms

rewrite22.0ms

series42.0ms

simplify72.0ms

prune134.0ms

regimes165.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.2s

Profiling