Details

analyze81.0ms (3.1%)

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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify52.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5284	17

prune12.0ms (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: 12.4b

Counts

2 → 2

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.1b	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
7.2b	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
7.8b	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))

rewrite80.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`frac-times`
87×	`flip3-+` `flip-+`
52×	`associate-/r/`
45×	`associate-*r/`
39×	`associate-r`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-*l/`
21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`add-cube-cbrt`
11×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `distribute-lft-out`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 184

Calls

4 calls:

25.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
17.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))
15.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
11.0ms	(* (+ x y) (+ x (+ y 1.0)))

series47.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0))))))
14.0ms	(/ y (* (+ x y) (* (+ x y) (+ x (+ y 1.0)))))
8.0ms	(* (+ x y) (* (+ x y) (+ x (+ y 1.0))))
6.0ms	(* (+ x y) (+ x (+ y 1.0)))

simplify71.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4986	3890
1	4986	3890

prune351.0ms (13.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	191	7	198

Merged error: 4.4b

Counts

198 → 7

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(* (+ x y) (+ x (+ y 1.0)))
0.0b	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
14.8b	(/ y (* (+ x y) (+ x (+ y 1.0))))

rewrite54.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
31×	`times-frac`
27×	`add-cube-cbrt`
22×	`associate-l`
20×	`flip3-+` `associate-r` `associate-/r/` `flip-+`
13×	`frac-times`
11×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`associate-r/` `associate-l/`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 152

Calls

4 calls:

21.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))
11.0ms	(* (+ x y) (+ x (+ y 1.0)))
5.0ms	(/ x (+ y x))

series43.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (/ x (+ y x)) (/ y (* (+ x y) (+ x (+ y 1.0)))))
11.0ms	(/ y (* (+ x y) (+ x (+ y 1.0))))
6.0ms	(* (+ x y) (+ x (+ y 1.0)))
5.0ms	(/ x (+ y x))

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4995	2281
1	4995	2281

prune230.0ms (8.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	163	8	171

Merged error: 0.0b

Counts

171 → 8

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y x))
0.0b	(/ y (+ y (+ x 1.0)))
0.0b	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
0.1b	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))

rewrite62.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

105×	`add-exp-log` `*-un-lft-identity`
73×	`times-frac`
65×	`add-sqr-sqrt`
61×	`add-cbrt-cube`
48×	`add-cube-cbrt`
42×	`prod-exp`
36×	`div-exp` `associate-l`
31×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
9×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`frac-times` `associate-r/` `associate-/l` `unswap-sqr`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 207

Calls

4 calls:

20.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))
20.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
7.0ms	(/ y (+ y (+ x 1.0)))
5.0ms	(/ 1 (+ y x))

series44.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (/ x (+ y x)) (* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0)))))
11.0ms	(* (/ 1 (+ y x)) (/ y (+ y (+ x 1.0))))
7.0ms	(/ y (+ y (+ x 1.0)))
4.0ms	(/ 1 (+ y x))

simplify63.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4971	2732
1	4971	2732

prune312.0ms (11.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	218	9	227

Merged error: 0b

Counts

227 → 9

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
7.3b	(cbrt (/ x (+ y x)))
7.3b	(cbrt (/ x (+ y x)))
7.3b	(cbrt (/ x (+ y x)))

rewrite46.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`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 → 180

Calls

4 calls:

21.0ms	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
5.0ms	(cbrt (/ x (+ y x)))
5.0ms	(cbrt (/ x (+ y x)))
5.0ms	(cbrt (/ x (+ y x)))

series107.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
25.0ms	(cbrt (/ x (+ y x)))
25.0ms	(cbrt (/ x (+ y x)))
24.0ms	(cbrt (/ x (+ y x)))

simplify75.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5156	2516

prune253.0ms (9.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	192	9	201

Merged error: 0b

Counts

201 → 9

regimes112.0ms (4.3%)

Accuracy

Total 0.1b remaining (79.3%)

Threshold costs 0.1b (79.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	18	19

end0.0ms (0%)

sample403.0ms (15.4%)

Algorithm

1×

intervals

Results

275.0ms

8000×

body

valid

Details

analyze81.0ms (3.1%)

sample16.0ms (0.6%)

simplify52.0ms (2%)

prune12.0ms (0.4%)

localize9.0ms (0.4%)

rewrite80.0ms (3%)

series47.0ms (1.8%)

simplify71.0ms (2.7%)

prune351.0ms (13.4%)

localize13.0ms (0.5%)

rewrite54.0ms (2.1%)

series43.0ms (1.6%)

simplify56.0ms (2.2%)

prune230.0ms (8.8%)

localize13.0ms (0.5%)

rewrite62.0ms (2.4%)

series44.0ms (1.7%)

simplify63.0ms (2.4%)

prune312.0ms (11.9%)

localize13.0ms (0.5%)

rewrite46.0ms (1.8%)

series107.0ms (4.1%)

simplify75.0ms (2.9%)

prune253.0ms (9.7%)

regimes112.0ms (4.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample403.0ms (15.4%)

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