Details

analyze570.0ms (19.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune7.0ms (0.2%)

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) (* z t))

series14.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(+ (* x y) (* z t))

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4873	141
1	4873	141

prune21.0ms (0.7%)

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

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z t) (* z t))
0.2b	(* (* x y) (* x y))
2.5b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
27.6b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite35.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 116

Calls

4 calls:

12.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))
7.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
6.0ms	(* (* z t) (* z t))
6.0ms	(* (* x y) (* x y))

series75.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))
29.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
7.0ms	(* (* x y) (* x y))
7.0ms	(* (* z t) (* z t))

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4989	1318
1	4989	1318

prune180.0ms (6.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	127	3	130

Merged error: 0.0b

Counts

130 → 3

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z t) (* z t))
2.5b	(- (* (* x (* x y)) y) (* (* z t) (* z t)))
4.3b	(* (* x (* x y)) y)
27.6b	(/ (- (* (* x (* x y)) y) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`pow1`
27×	`add-exp-log` `add-cbrt-cube`
23×	`pow-prod-down`
14×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-log-exp`
4×	`associate-r` `pow-sqr` `pow-prod-up`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-plus` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/ (- (* (* x (* x y)) y) (* (* z t) (* z t))) (- (* x y) (* z t)))
7.0ms	(- (* (* x (* x y)) y) (* (* z t) (* z t)))
6.0ms	(* (* x (* x y)) y)
6.0ms	(* (* z t) (* z t))

series76.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* (* x (* x y)) y) (* (* z t) (* z t)))
29.0ms	(/ (- (* (* x (* x y)) y) (* (* z t) (* z t))) (- (* x y) (* z t)))
7.0ms	(* (* x (* x y)) y)
7.0ms	(* (* z t) (* z t))

simplify29.0ms (1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5042	1441

prune126.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(pow (* x y) 2)
2.5b	(- (pow (* x y) 2) (pow (* z t) 2))
18.1b	(cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3))
27.6b	(/ (cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3)) (- (* x y) (* z t)))

rewrite51.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`cbrt-prod`
126×	`add-sqr-sqrt`
105×	`times-frac`
99×	`difference-of-squares`
82×	`*-un-lft-identity`
72×	`sqr-pow`
67×	`unpow2`
66×	`unpow-prod-down`
65×	`cube-prod`
60×	`add-cube-cbrt`
35×	`associate-/l*`
11×	`distribute-lft-out--`
9×	`add-exp-log`
7×	`pow1`
6×	`add-log-exp`
5×	`cube-mult` `unpow3` `add-cbrt-cube`
4×	`cube-div` `cbrt-div` `flip3--` `flip--`
3×	`pow-unpow` `associate-/r*`
2×	`pow-pow` `pow-exp` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `pow1/3` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `rem-cbrt-cube` `div-inv`

Counts

4 → 241

Calls

4 calls:

18.0ms	(/ (cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3)) (- (* x y) (* z t)))
11.0ms	(cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3))
6.0ms	(- (pow (* x y) 2) (pow (* z t) 2))
4.0ms	(pow (* x y) 2)

series97.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (pow (* x y) 2) (pow (* z t) 2))
30.0ms	(/ (cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3)) (- (* x y) (* z t)))
29.0ms	(cbrt (pow (- (pow (* x y) 2) (pow (* z t) 2)) 3))
4.0ms	(pow (* x y) 2)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5362	5590

prune451.0ms (15.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Merged error: 0.0b

Counts

256 → 3

regimes368.0ms (12.8%)

Accuracy

Total 0.0b remaining (15.2%)

Threshold costs 0.0b (15.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample476.0ms (16.6%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	80	valid
38.0ms	1336×	body	80	invalid

Details

analyze570.0ms (19.9%)

sample19.0ms (0.7%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite4.0ms (0.1%)

series14.0ms (0.5%)

simplify82.0ms (2.9%)

prune21.0ms (0.7%)

localize10.0ms (0.4%)

rewrite35.0ms (1.2%)

series75.0ms (2.6%)

simplify50.0ms (1.7%)

prune180.0ms (6.3%)

localize13.0ms (0.5%)

rewrite34.0ms (1.2%)

series76.0ms (2.6%)

simplify29.0ms (1%)

prune126.0ms (4.4%)

localize16.0ms (0.6%)

rewrite51.0ms (1.8%)

series97.0ms (3.4%)

simplify55.0ms (1.9%)

prune451.0ms (15.7%)

regimes368.0ms (12.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample476.0ms (16.6%)

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