Details

analyze397.0ms (16.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	221×	body	80	valid
2.0ms	13×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	7×	body	320	valid
1.0ms	17×	body	80	invalid
0.0ms	6×	body	160	valid

simplify188.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune9.0ms (0.4%)

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

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite40.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `associate-+r+` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
12.0ms	(* 6.0 (- (/ 2.0 3.0) z))
7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))

series26.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))
3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
2.0ms	(- (/ 2.0 3.0) z)

simplify25.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune181.0ms (7.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
0.0b	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
0.3b	(* (- y x) (* 6.0 (neg z)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/`
5×	`associate-l`
4×	`add-cube-cbrt` `flip3-+` `frac-add` `sum-log` `distribute-rgt-neg-out` `flip-+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`+-commutative`
1×	`associate-+l+` `associate-r` `unsub-neg` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 52

Calls

3 calls:

8.0ms	(* (- y x) (* 6.0 (neg z)))
8.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
4.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))

series24.0ms (1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
7.0ms	(* (- y x) (* 6.0 (neg z)))
5.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))

simplify24.0ms (1%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4996	1025
1	4996	1025

prune124.0ms (5.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
0.0b	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
0.2b	(* (* (- y x) 6.0) (neg z))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(* (* (- y x) 6.0) (neg z))
8.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
6.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))

series30.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (* (- y x) 6.0) (neg z)))
7.0ms	(* (* (- y x) 6.0) (neg z))
5.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
4.0ms	(* (- y x) 6.0)

simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5008	1225

prune159.0ms (6.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `associate-l` `add-cbrt-cube`
4×	`frac-times`
3×	`associate-r`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 54

Calls

3 calls:

8.0ms	(* (- y x) (- 4.0 (* 6.0 z)))
4.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
3.0ms	(- 4.0 (* 6.0 z))

series25.0ms (1%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms	(* (- y x) (- 4.0 (* 6.0 z)))
3.0ms	(- 4.0 (* 6.0 z))

simplify34.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4958	804
1	4958	804

prune87.0ms (3.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	6	1	7
Picked	0	1	1
Done	0	1	1
Total	63	9	72

Merged error: 0.0b

Counts

72 → 9

regimes257.0ms (10.9%)

Accuracy

Total 0.1b remaining (68%)

Threshold costs 0.1b (68%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	321	19
1	321	19

end0.0ms (0%)

sample556.0ms (23.6%)

Algorithm

1×

intervals

Results

265.0ms	7264×	body	80	valid
34.0ms	261×	body	640	valid
28.0ms	158×	body	1280	valid
22.0ms	627×	body	80	invalid
20.0ms	196×	body	320	valid
8.0ms	121×	body	160	valid

Details

analyze397.0ms (16.8%)

sample21.0ms (0.9%)

simplify188.0ms (8%)

prune9.0ms (0.4%)

localize8.0ms (0.4%)

rewrite40.0ms (1.7%)

series26.0ms (1.1%)

simplify25.0ms (1.1%)

prune181.0ms (7.7%)

localize11.0ms (0.5%)

rewrite21.0ms (0.9%)

series24.0ms (1%)

simplify24.0ms (1%)

prune124.0ms (5.3%)

localize11.0ms (0.5%)

rewrite28.0ms (1.2%)

series30.0ms (1.3%)

simplify42.0ms (1.8%)

prune159.0ms (6.7%)

localize7.0ms (0.3%)

rewrite16.0ms (0.7%)

series25.0ms (1%)

simplify34.0ms (1.5%)

prune87.0ms (3.7%)

regimes257.0ms (10.9%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

end0.0ms (0%)

sample556.0ms (23.6%)

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