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

sample247.0ms

Algorithm

intervals

Results

206.0ms	53×	body	1280	valid
10.0ms	141×	body	80	valid
9.0ms	30×	body	640	valid
5.0ms	256×	pre	80	true
4.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify440.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize12.0ms

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))

rewrite28.0ms

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 (cos v))
15.0ms	(* e (sin v))

series44.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune99.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* e (cos v))
15.0ms	(/ (+ (* e (cos v)) 1.0) (sin v))
20.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (sin v)))

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune166.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	2	4	6
Picked	1	0	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:

0.0b	(/ e (+ (* e (cos v)) 1.0))
0.1b	(* e (cos v))
0.1b	(/ 1 (sin v))
0.2b	(/ (/ e (+ (* e (cos v)) 1.0)) (/ 1 (sin v)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
234×	`add-sqr-sqrt`
232×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
33×	`div-inv`
31×	`associate-/r/`
22×	`add-cbrt-cube`
21×	`associate-/l*`
19×	`div-exp` `associate-/r*`
15×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
7×	`pow1`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `associate-l` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 325

Calls

4 calls:

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

series46.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ e (+ (* e (cos v)) 1.0))
6.0ms	(* e (cos v))
4.0ms	(/ 1 (sin v))
23.0ms	(/ (/ e (+ (* e (cos v)) 1.0)) (/ 1 (sin v)))

simplify94.0ms

Algorithm

egg-herbie

Counts

337 → 337

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	7209
1	4977	7209

prune380.0ms

Filtered

206 candidates to 337 candidates (-63.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	336	1	337
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	338	8	346

Merged error: 0.0b

Counts

346 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sin v) (sqrt e)))
0.3b	(* (sin v) (sqrt e))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
7.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
5.0ms	(* (sin v) (sqrt e))

series58.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
9.0ms	(* (sqrt e) (* (sin v) (sqrt e)))
11.0ms	(* (sin v) (sqrt e))

simplify53.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	948
1	4978	948

prune90.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	98	8	106

Merged error: 0b

Counts

106 → 8

regimes184.0ms

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	12	11
1	12	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

735.0ms	1568×	body	1280	valid
371.0ms	1248×	body	640	valid
277.0ms	4234×	body	80	valid
148.0ms	8000×	pre	80	true
130.0ms	626×	body	320	valid
45.0ms	324×	body	160	valid

Details

analyze25.0ms

sample247.0ms

simplify440.0ms

prune9.0ms

localize12.0ms

rewrite28.0ms

series44.0ms

simplify58.0ms

prune99.0ms

localize10.0ms

rewrite22.0ms

series44.0ms

simplify72.0ms

prune166.0ms

localize11.0ms

rewrite48.0ms

series46.0ms

simplify94.0ms

prune380.0ms

localize12.0ms

rewrite28.0ms

series58.0ms

simplify53.0ms

prune90.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling