Details

analyze24.0ms

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

sample302.0ms

Algorithm

intervals

Results

236.0ms	24×	body	320	valid
18.0ms	52×	body	640	valid
18.0ms	41×	body	1280	valid
10.0ms	125×	body	80	valid
6.0ms	256×	pre	80	true
2.0ms	14×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

prune9.0ms

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: 0.2b

Counts

2 → 1

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

12.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series77.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
25.0ms	(* e (cos v))
29.0ms	(* e (sin v))

simplify88.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4954	941
1	4954	941

prune158.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* e (cos v)) 1.0))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.2b	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
48×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
30×	`associate-r` `associate-l`
27×	`sqrt-prod`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `unswap-sqr`
6×	`sqrt-div` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`
2×	`div-inv`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/`

Counts

4 → 128

Calls

4 calls:

4.0ms	(sqrt (+ (* e (cos v)) 1.0))
4.0ms	(* e (cos v))
7.0ms	(* e (cos v))
39.0ms	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (+ (* e (cos v)) 1.0))
9.0ms	(* e (cos v))
18.0ms	(* e (cos v))
26.0ms	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))

simplify96.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4978	3460
1	4978	3460

prune252.0ms

Filtered

97 candidates to 140 candidates (-44.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Merged error: 0.0b

Counts

148 → 8

localize12.0ms

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)))

rewrite33.0ms

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))
7.0ms	(* e (cos v))
15.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
7.0ms	(* e (cos v))
21.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify143.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4961	3238
1	4961	3238

prune250.0ms

Filtered

100 candidates to 126 candidates (-26.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

4.0ms	(* e (cos v))
9.0ms	(/ (+ (* e (cos v)) 1.0) (* (sin v) (sqrt e)))
14.0ms	(/ (sqrt e) (/ (+ (* e (cos v)) 1.0) (* (sin v) (sqrt e))))
6.0ms	(* (sin v) (sqrt e))

series118.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* e (cos v))
41.0ms	(/ (+ (* e (cos v)) 1.0) (* (sin v) (sqrt e)))
59.0ms	(/ (sqrt e) (/ (+ (* e (cos v)) 1.0) (* (sin v) (sqrt e))))
11.0ms	(* (sin v) (sqrt e))

simplify140.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4993	3920
1	4993	3920

prune204.0ms

Filtered

104 candidates to 147 candidates (-41.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	148	8	156

Merged error: 0.0b

Counts

156 → 8

regimes149.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

729.0ms	1520×	body	1280	valid
415.0ms	1260×	body	640	valid
364.0ms	4269×	body	80	valid
177.0ms	8000×	pre	80	true
154.0ms	633×	body	320	valid
54.0ms	318×	body	160	valid

Details

analyze24.0ms

sample302.0ms

simplify24.0ms

prune9.0ms

localize21.0ms

rewrite36.0ms

series77.0ms

simplify88.0ms

prune158.0ms

localize11.0ms

rewrite60.0ms

series73.0ms

simplify96.0ms

prune252.0ms

localize12.0ms

rewrite33.0ms

series44.0ms

simplify143.0ms

prune250.0ms

localize11.0ms

rewrite37.0ms

series118.0ms

simplify140.0ms

prune204.0ms

regimes149.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling