Details

analyze128.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample26.0ms (0.9%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

valid

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5054	29

prune6.0ms (0.2%)

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

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

8.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms	(* (* a a) (- 1.0 a))
8.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series58.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(* (* a a) (- 1.0 a))

simplify27.0ms (1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5666	1201

prune190.0ms (6.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
8.4b	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
8.4b	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
8.4b	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))

rewrite29.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
7.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
7.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
6.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))

series154.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
50.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
48.0ms	(cbrt (+ (pow (+ (* b b) (* a a)) 2.0) (* 4.0 (+ (* (* b b) (+ 3.0 a)) (* (* a a) (- 1.0 a))))))
5.0ms	(* (* b b) (+ 3.0 a))

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4909	2144
1	4909	2144

prune365.0ms (13.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	75	4	79

Merged error: 0b

Counts

79 → 4

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (* b b) (* a a))))
0.0b	(* 2 (* (* b b) (* a a)))
1.4b	(* (* b b) (* a a))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1`
33×	`add-exp-log` `add-cbrt-cube`
27×	`pow-prod-down`
21×	`prod-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `pow-plus` `associate-l*` `pow-prod-up`
2×	`pow2` `associate-r` `pow-sqr` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

12.0ms	(* 2 (* (* b b) (* a a)))
8.0ms	(* (* b b) (* a a))
7.0ms	(+ (pow b 4) (* 2 (* (* b b) (* a a))))

series23.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow b 4) (* 2 (* (* b b) (* a a))))
7.0ms	(* 2 (* (* b b) (* a a)))
6.0ms	(* (* b b) (* a a))

simplify30.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5466	665

prune151.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize22.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
0.3b	(pow (+ (* b b) (* a a)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))
29.8b	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`cube-prod`
12×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
7×	`sqr-pow`
6×	`pow-unpow`
5×	`pow-exp`
4×	`associate-r` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `pow-pow` `unpow3` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

7.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
6.0ms	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))
5.0ms	(pow (+ (* b b) (* a a)) 2.0)

series91.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))
30.0ms	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
24.0ms	(pow (+ (* b b) (* a a)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))

simplify55.0ms (2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5081	1470

prune269.0ms (9.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Merged error: 0b

Counts

119 → 4

regimes231.0ms (8.3%)

Accuracy

Total 0.2b remaining (85.7%)

Threshold costs 0.2b (85.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

end0.0ms (0%)

sample647.0ms (23.2%)

Algorithm

1×

intervals

Results

504.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze128.0ms (4.6%)

sample26.0ms (0.9%)

simplify82.0ms (2.9%)

prune6.0ms (0.2%)

localize15.0ms (0.6%)

rewrite30.0ms (1.1%)

series58.0ms (2.1%)

simplify27.0ms (1%)

prune190.0ms (6.8%)

localize23.0ms (0.8%)

rewrite29.0ms (1%)

series154.0ms (5.5%)

simplify71.0ms (2.5%)

prune365.0ms (13.1%)

localize12.0ms (0.4%)

rewrite30.0ms (1.1%)

series23.0ms (0.8%)

simplify30.0ms (1.1%)

prune151.0ms (5.4%)

localize22.0ms (0.8%)

rewrite27.0ms (1%)

series91.0ms (3.3%)

simplify55.0ms (2%)

prune269.0ms (9.6%)

regimes231.0ms (8.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample647.0ms (23.2%)

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