Details

analyze44.0ms (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
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

sample11.0ms (1.1%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify6.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	127	5
1	127	5

prune8.0ms (0.9%)

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: 0.0b

Counts

2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite4.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

4.0ms

(- (* x y) x)

series5.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* x y) x)

simplify51.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	107
1	4977	107

prune18.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize9.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* x y))
2.6b	(* x (- (* x (* y y)) x))
9.4b	(* x (* y y))
31.5b	(/ (* x (- (* x (* y y)) x)) (+ x (* x y)))

rewrite28.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
11×	`pow1`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r/` `associate-r*` `pow-prod-down`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `div-exp` `associate-/r/` `*-commutative` `flip--` `flip-+` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/ (* x (- (* x (* y y)) x)) (+ x (* x y)))
8.0ms	(* x (- (* x (* y y)) x))
5.0ms	(* x (* y y))
3.0ms	(+ x (* x y))

series43.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* x (- (* x (* y y)) x)) (+ x (* x y)))
12.0ms	(* x (- (* x (* y y)) x))
6.0ms	(* x (* y y))
4.0ms	(+ x (* x y))

simplify42.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5071	932

prune96.0ms (10.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

localize10.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(* x (- -1 y))
2.6b	(* x (- x (* x (* y y))))
9.4b	(* x (* y y))
31.5b	(/ (* x (- x (* x (* y y)))) (* x (- -1 y)))

rewrite29.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
13×	`pow1`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `associate-r` `associate-l` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
5×	`pow-prod-down`
4×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `flip--` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/ (* x (- x (* x (* y y)))) (* x (- -1 y)))
6.0ms	(* x (- -1 y))
5.0ms	(* x (* y y))
5.0ms	(* x (- x (* x (* y y))))

series42.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (* x (- x (* x (* y y)))) (* x (- -1 y)))
13.0ms	(* x (- x (* x (* y y))))
8.0ms	(* x (- -1 y))
7.0ms	(* x (* y y))

simplify30.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4992	876
1	4992	876

prune116.0ms (12.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0b

Counts

104 → 2

regimes91.0ms (9.6%)

Accuracy

Total 0.0b remaining (28.9%)

Threshold costs 0.0b (28.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms (0%)

sample262.0ms (27.6%)

Algorithm

1×

intervals

Results

137.0ms	8000×	body	80	valid
1.0ms	82×	body	80	invalid

Details

analyze44.0ms (4.6%)

sample11.0ms (1.1%)

simplify6.0ms (0.7%)

prune8.0ms (0.9%)

localize3.0ms (0.3%)

rewrite4.0ms (0.4%)

series5.0ms (0.5%)

simplify51.0ms (5.3%)

prune18.0ms (1.9%)

localize9.0ms (0.9%)

rewrite28.0ms (3%)

series43.0ms (4.6%)

simplify42.0ms (4.4%)

prune96.0ms (10.1%)

localize10.0ms (1%)

rewrite29.0ms (3.1%)

series42.0ms (4.5%)

simplify30.0ms (3.1%)

prune116.0ms (12.2%)

regimes91.0ms (9.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample262.0ms (27.6%)

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