Details

analyze219.0ms

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

sample62.0ms

Algorithm

intervals

Results

18.0ms	38×	body	1280	valid
11.0ms	37×	body	640	valid
10.0ms	143×	body	80	valid
5.0ms	27×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	11×	body	160	valid

simplify447.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune14.0ms

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

localize13.0ms

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))

rewrite18.0ms

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))
6.0ms	(* e (sin v))

series43.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
15.0ms	(* e (sin v))

simplify61.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune100.0ms

Filtered

48 candidates to 68 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (sin v) (/ e (+ (pow (* e (cos v)) 3) (pow 1.0 3))))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(pow (* e (cos v)) 3)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
26×	`add-exp-log` `add-cbrt-cube`
25×	`associate-r`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
20×	`pow-prod-down`
17×	`add-cube-cbrt`
16×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `sum-cubes` `*-commutative` `distribute-lft-out` `unswap-sqr`
2×	`pow-pow` `pow-plus` `pow-exp` `associate-/r/` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `flip3-+` `unpow3` `cube-prod` `associate-*r/` `swap-sqr` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

4.0ms	(* e (cos v))
17.0ms	(* (sin v) (/ e (+ (pow (* e (cos v)) 3) (pow 1.0 3))))
10.0ms	(* (* e (cos v)) (* e (cos v)))
4.0ms	(pow (* e (cos v)) 3)

series61.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* e (cos v))
32.0ms	(* (sin v) (/ e (+ (pow (* e (cos v)) 3) (pow 1.0 3))))
10.0ms	(* (* e (cos v)) (* e (cos v)))
12.0ms	(pow (* e (cos v)) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5002	1124

prune182.0ms

Filtered

73 candidates to 126 candidates (-72.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	126	6	132

Merged error: 0.0b

Counts

132 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

series42.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify74.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune162.0ms

Filtered

101 candidates to 126 candidates (-24.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	4	126
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	124	8	132

Merged error: 0b

Counts

132 → 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	(* (sin v) (sqrt e))
0.3b	(* (sqrt e) (* (sin v) (sqrt e)))

rewrite27.0ms

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))
5.0ms	(* (sin v) (sqrt e))
7.0ms	(* (sqrt e) (* (sin v) (sqrt e)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* (sqrt e) (* (sin v) (sqrt e))) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
10.0ms	(* (sin v) (sqrt e))
10.0ms	(* (sqrt e) (* (sin v) (sqrt e)))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	948
1	4978	948

prune96.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

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

Merged error: 0b

Counts

106 → 8

regimes124.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	66	36
1	66	36

end0.0ms

sample1.9s

Algorithm

intervals

Results

717.0ms	1509×	body	1280	valid
374.0ms	1267×	body	640	valid
284.0ms	4256×	body	80	valid
137.0ms	8000×	pre	80	true
131.0ms	641×	body	320	valid
45.0ms	327×	body	160	valid

Details

analyze219.0ms

sample62.0ms

simplify447.0ms

prune14.0ms

localize13.0ms

rewrite18.0ms

series43.0ms

simplify61.0ms

prune100.0ms

localize20.0ms

rewrite39.0ms

series61.0ms

simplify46.0ms

prune182.0ms

localize10.0ms

rewrite22.0ms

series42.0ms

simplify74.0ms

prune162.0ms

localize12.0ms

rewrite27.0ms

series55.0ms

simplify54.0ms

prune96.0ms

regimes124.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

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