Details

analyze26.0ms (0.6%)

Algorithm

1×

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

sample250.0ms (5.7%)

Algorithm

1×

intervals

Results

206.0ms	47×	body	1280	valid
13.0ms	44×	body	640	valid
9.0ms	139×	body	80	valid
5.0ms	256×	pre	80	true
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify434.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune13.0ms (0.3%)

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 → 2

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.5%)

Algorithm

1×	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:

11.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))

series55.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

28.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
20.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5110	1103

prune160.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (pow (cos v) 2))
0.2b	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
0.3b	(pow (cos v) 2)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`pow1` `associate-l`
7×	`unpow-prod-down` `unswap-sqr`
6×	`prod-exp`
4×	`cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `*-commutative` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `associate-/r/`
1×	`cbrt-undiv` `flip3--` `pow-pow` `associate-*r/` `div-exp` `flip--` `div-inv`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
6.0ms	(* e (pow (cos v) 2))
4.0ms	(* e (cos v))
3.0ms	(pow (cos v) 2)

series50.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(* e (/ (sin v) (- (* 1.0 1.0) (* e (* e (pow (cos v) 2))))))
11.0ms	(* e (pow (cos v) 2))
6.0ms	(* e (cos v))
3.0ms	(pow (cos v) 2)

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5305	1106

prune209.0ms (4.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

10.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))
9.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))
5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))

series77.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (sqrt e) (* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e)))
27.0ms	(* (/ (sin v) (+ 1.0 (* e (cos v)))) (sqrt e))
13.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5108	1743

prune187.0ms (4.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	122	9	131

Merged error: 0.0b

Counts

131 → 9

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))) (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))))
0.6b	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
0.6b	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
0.6b	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

117×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

17.0ms	(* (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))) (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))))
4.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
4.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
4.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))

series130.0ms (3%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))) (cbrt (/ (sin v) (+ 1.0 (* e (cos v))))))
32.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
27.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))
27.0ms	(cbrt (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	3778
1	4967	3778

prune455.0ms (10.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	167	10	177

Merged error: 0b

Counts

177 → 10

regimes137.0ms (3.1%)

Accuracy

Total 0.1b remaining (78.5%)

Threshold costs 0.1b (78.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	24
1	75	24

end0.0ms (0%)

sample1.8s (41.5%)

Algorithm

1×

intervals

Results

687.0ms	1495×	body	1280	valid
363.0ms	1287×	body	640	valid
285.0ms	4335×	body	80	valid
139.0ms	8000×	pre	80	true
120.0ms	587×	body	320	valid
43.0ms	296×	body	160	valid

Details

analyze26.0ms (0.6%)

sample250.0ms (5.7%)

simplify434.0ms (9.9%)

prune13.0ms (0.3%)

localize12.0ms (0.3%)

rewrite23.0ms (0.5%)

series55.0ms (1.3%)

simplify49.0ms (1.1%)

prune160.0ms (3.7%)

localize18.0ms (0.4%)

rewrite24.0ms (0.6%)

series50.0ms (1.1%)

simplify37.0ms (0.8%)

prune209.0ms (4.8%)

localize13.0ms (0.3%)

rewrite31.0ms (0.7%)

series77.0ms (1.8%)

simplify46.0ms (1.1%)

prune187.0ms (4.3%)

localize15.0ms (0.3%)

rewrite36.0ms (0.8%)

series130.0ms (3%)

simplify71.0ms (1.6%)

prune455.0ms (10.4%)

regimes137.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (41.5%)

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