Details

analyze26.0ms (0.7%)

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

sample252.0ms (6.6%)

Algorithm

1×

intervals

Results

204.0ms	37×	body	1280	valid
13.0ms	41×	body	640	valid
10.0ms	142×	body	80	valid
5.0ms	256×	pre	80	true
5.0ms	23×	body	320	valid
2.0ms	13×	body	160	valid

simplify433.0ms (11.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

prune9.0ms (0.2%)

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 → 1

localize12.0ms (0.3%)

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))

rewrite18.0ms (0.5%)

Algorithm

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

series44.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
15.0ms	(* e (cos v))
8.0ms	(* e (sin v))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4957	599
1	4957	599

prune115.0ms (3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (0.7%)

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:

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

series40.0ms (1%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(* e (/ (sin v) (+ (* e (cos v)) 1.0)))
14.0ms	(/ (sin v) (+ (* e (cos v)) 1.0))
7.0ms	(* e (cos v))

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5047	1103

prune136.0ms (3.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize10.0ms (0.3%)

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)))

rewrite24.0ms (0.6%)

Algorithm

1×	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:

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

series40.0ms (1%)

Counts

3 → 9

Calls

3 calls:

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

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	2019
1	4956	2019

prune183.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0b

Counts

133 → 8

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `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) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
7.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
5.0ms	(* (sqrt e) (sin v))
4.0ms	(* e (cos v))

series59.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
13.0ms	(* (sqrt e) (sin v))
12.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
6.0ms	(* e (cos v))

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4983	945
1	4983	945

prune116.0ms (3%)

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

regimes117.0ms (3.1%)

Accuracy

Total 0.1b remaining (78.3%)

Threshold costs 0.1b (78.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample1.9s (49.8%)

Algorithm

1×

intervals

Results

734.0ms	1534×	body	1280	valid
379.0ms	1264×	body	640	valid
291.0ms	4279×	body	80	valid
147.0ms	8000×	pre	80	true
126.0ms	606×	body	320	valid
48.0ms	317×	body	160	valid

Details

analyze26.0ms (0.7%)

sample252.0ms (6.6%)

simplify433.0ms (11.3%)

prune9.0ms (0.2%)

localize12.0ms (0.3%)

rewrite18.0ms (0.5%)

series44.0ms (1.2%)

simplify63.0ms (1.7%)

prune115.0ms (3%)

localize10.0ms (0.3%)

rewrite26.0ms (0.7%)

series40.0ms (1%)

simplify50.0ms (1.3%)

prune136.0ms (3.5%)

localize10.0ms (0.3%)

rewrite24.0ms (0.6%)

series40.0ms (1%)

simplify77.0ms (2%)

prune183.0ms (4.8%)

localize12.0ms (0.3%)

rewrite28.0ms (0.7%)

series59.0ms (1.5%)

simplify29.0ms (0.8%)

prune116.0ms (3%)

regimes117.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (49.8%)

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