Details

analyze277.0ms (16.1%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	7
1	76	7

prune5.0ms (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: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

8.0ms

(* (+ x y) (+ z 1.0))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (+ x y) (+ z 1.0))

simplify51.0ms (3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5035	368

prune57.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x y) z)

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (+ x y) z)

simplify43.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5624	151

prune34.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(cbrt (+ z 1.0))
0.2b	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

rewrite23.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
5.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))
3.0ms	(cbrt (+ z 1.0))

series25.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))
6.0ms	(cbrt (+ z 1.0))
6.0ms	(cbrt (+ z 1.0))
6.0ms	(cbrt (+ z 1.0))

simplify51.0ms (3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	1033

prune229.0ms (13.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize13.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- x y))
2.9b	(* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y)))
3.2b	(- (* x x) (* y y))
32.2b	(/ (* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y))) (* (- z 1.0) (- x y)))

rewrite43.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

18.0ms	(/ (* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y))) (* (- z 1.0) (- x y)))
9.0ms	(* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y)))
9.0ms	(* (- z 1.0) (- x y))
4.0ms	(- (* x x) (* y y))

series75.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y))) (* (- z 1.0) (- x y)))
21.0ms	(* (- (* z z) (* 1.0 1.0)) (- (* x x) (* y y)))
7.0ms	(* (- z 1.0) (- x y))
6.0ms	(- (* x x) (* y y))

simplify53.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1734
1	4988	1734

prune175.0ms (10.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	124	2	126

Merged error: 0b

Counts

126 → 2

regimes150.0ms (8.7%)

Accuracy

Total 0.0b remaining (48.3%)

Threshold costs 0.0b (48.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms (0%)

sample352.0ms (20.4%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	80	valid
13.0ms	616×	body	80	invalid

Details

analyze277.0ms (16.1%)

sample14.0ms (0.8%)

simplify3.0ms (0.2%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite9.0ms (0.5%)

series8.0ms (0.4%)

simplify51.0ms (3%)

prune57.0ms (3.3%)

localize6.0ms (0.3%)

rewrite6.0ms (0.4%)

series8.0ms (0.4%)

simplify43.0ms (2.5%)

prune34.0ms (2%)

localize9.0ms (0.5%)

rewrite23.0ms (1.4%)

series25.0ms (1.5%)

simplify51.0ms (3%)

prune229.0ms (13.3%)

localize13.0ms (0.8%)

rewrite43.0ms (2.5%)

series75.0ms (4.3%)

simplify53.0ms (3.1%)

prune175.0ms (10.2%)

regimes150.0ms (8.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample352.0ms (20.4%)

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