Details

analyze664.0ms (17.7%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	91×	body	80	invalid

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5100	13

prune10.0ms (0.3%)

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

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (- x z) (/ (+ x z) y)))
0.0b	(/ (+ x z) y)
0.2b	(/ (+ y (* (- x z) (/ (+ x z) y))) 2.0)
0.3b	(* (- x z) (/ (+ x z) y))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
34×	`times-frac`
30×	`add-cube-cbrt`
16×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out` `associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`associate-/l/`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

11.0ms	(* (- x z) (/ (+ x z) y))
5.0ms	(/ (+ y (* (- x z) (/ (+ x z) y))) 2.0)
5.0ms	(/ (+ x z) y)
4.0ms	(+ y (* (- x z) (/ (+ x z) y)))

series42.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (+ y (* (- x z) (/ (+ x z) y))) 2.0)
12.0ms	(+ y (* (- x z) (/ (+ x z) y)))
11.0ms	(* (- x z) (/ (+ x z) y))
5.0ms	(/ (+ x z) y)

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5039	1611

prune181.0ms (4.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	10	128

Merged error: 0b

Counts

128 → 10

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x z))
0.2b	(/ (+ y (* (- x z) (/ 1 (/ y (+ x z))))) 2.0)
0.3b	(* (- x z) (/ 1 (/ y (+ x z))))
0.7b	(/ 1 (/ y (+ x z)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

219×	`times-frac`
170×	`*-un-lft-identity`
132×	`add-sqr-sqrt`
116×	`add-cube-cbrt`
59×	`associate-r`
38×	`add-exp-log`
25×	`associate-/r*` `distribute-lft-out`
22×	`add-cbrt-cube`
18×	`associate-/r/`
16×	`div-exp`
11×	`div-inv`
9×	`flip3-+` `flip-+` `associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `prod-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod`
2×	`frac-times` `flip3--` `associate-*l/` `flip--` `associate-/l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 252

Calls

4 calls:

23.0ms	(* (- x z) (/ 1 (/ y (+ x z))))
8.0ms	(/ 1 (/ y (+ x z)))
8.0ms	(/ (+ y (* (- x z) (/ 1 (/ y (+ x z))))) 2.0)
5.0ms	(/ y (+ x z))

series38.0ms (1%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (+ y (* (- x z) (/ 1 (/ y (+ x z))))) 2.0)
11.0ms	(* (- x z) (/ 1 (/ y (+ x z))))
7.0ms	(/ 1 (/ y (+ x z)))
7.0ms	(/ y (+ x z))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5502	3163

prune338.0ms (9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	268	6	274

Merged error: 0b

Counts

274 → 6

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (- x z) (/ y (+ x z))))
0.0b	(/ y (+ x z))
0.2b	(/ (- x z) (/ y (+ x z)))
0.2b	(/ (+ y (/ (- x z) (/ y (+ x z)))) 2.0)

rewrite111.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

186×	`times-frac`
181×	`*-un-lft-identity`
127×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-/r*`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
9×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-sub` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`associate-+r-`
1×	`+-commutative` `flip3--` `sum-log` `flip--`

Counts

4 → 211

Calls

4 calls:

41.0ms	(/ (+ y (/ (- x z) (/ y (+ x z)))) 2.0)
29.0ms	(+ y (/ (- x z) (/ y (+ x z))))
22.0ms	(/ (- x z) (/ y (+ x z)))
9.0ms	(/ y (+ x z))

series45.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (+ y (/ (- x z) (/ y (+ x z)))) 2.0)
12.0ms	(+ y (/ (- x z) (/ y (+ x z))))
11.0ms	(/ (- x z) (/ y (+ x z)))
7.0ms	(/ y (+ x z))

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5235	3546

prune247.0ms (6.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	223	6	229

Merged error: 0b

Counts

229 → 6

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- x z) (/ (+ x z) y))) (cbrt (* (- x z) (/ (+ x z) y))))
8.6b	(cbrt (* (- x z) (/ (+ x z) y)))
8.6b	(cbrt (* (- x z) (/ (+ x z) y)))
8.6b	(cbrt (* (- x z) (/ (+ x z) y)))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`cbrt-div`
55×	`frac-times`
35×	`associate-*l/`
30×	`flip3--` `flip--`
20×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

8.0ms	(cbrt (* (- x z) (/ (+ x z) y)))
8.0ms	(cbrt (* (- x z) (/ (+ x z) y)))
8.0ms	(cbrt (* (- x z) (/ (+ x z) y)))
8.0ms	(* (cbrt (* (- x z) (/ (+ x z) y))) (cbrt (* (- x z) (/ (+ x z) y))))

series339.0ms (9%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (* (- x z) (/ (+ x z) y)))
42.0ms	(* (cbrt (* (- x z) (/ (+ x z) y))) (cbrt (* (- x z) (/ (+ x z) y))))
32.0ms	(cbrt (* (- x z) (/ (+ x z) y)))
31.0ms	(cbrt (* (- x z) (/ (+ x z) y)))

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4895	2271
1	4895	2271

prune167.0ms (4.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0b

Counts

126 → 6

regimes398.0ms (10.6%)

Accuracy

Total 0.1b remaining (84.9%)

Threshold costs 0.1b (84.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample704.0ms (18.8%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	80	valid
126.0ms	2921×	body	80	invalid

Details

analyze664.0ms (17.7%)

sample25.0ms (0.7%)

simplify71.0ms (1.9%)

prune10.0ms (0.3%)

localize13.0ms (0.3%)

rewrite29.0ms (0.8%)

series42.0ms (1.1%)

simplify26.0ms (0.7%)

prune181.0ms (4.8%)

localize10.0ms (0.3%)

rewrite55.0ms (1.5%)

series38.0ms (1%)

simplify58.0ms (1.6%)

prune338.0ms (9%)

localize9.0ms (0.2%)

rewrite111.0ms (3%)

series45.0ms (1.2%)

simplify47.0ms (1.2%)

prune247.0ms (6.6%)

localize15.0ms (0.4%)

rewrite38.0ms (1%)

series339.0ms (9%)

simplify70.0ms (1.9%)

prune167.0ms (4.4%)

regimes398.0ms (10.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample704.0ms (18.8%)

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