Details

analyze311.0ms (20.2%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample16.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune6.0ms (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: 0.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(* z (- 1.0 y))
4.0ms	(+ (* x y) (* z (- 1.0 y)))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (* z (- 1.0 y)))
5.0ms	(* z (- 1.0 y))

simplify39.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5022	369

prune59.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0.0b

Counts

44 → 2

localize10.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+r-` `associate-+r+` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* x y) (+ (* z 1.0) (* z (neg y))))
4.0ms	(+ (* z 1.0) (* z (neg y)))

series14.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x y) (+ (* z 1.0) (* z (neg y))))
6.0ms	(+ (* z 1.0) (* z (neg y)))

simplify45.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5327	323

prune47.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize17.0ms (1.1%)

Local error

Found 4 expressions with local error:

2.9b	(+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0))))
3.2b	(* y (* y (* x x)))
8.8b	(* y (* x x))
26.3b	(/ (+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0)))) (+ (* y x) (* z (- y 1.0))))

rewrite35.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

12.0ms	(/ (+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0)))) (+ (* y x) (* z (- y 1.0))))
9.0ms	(+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0))))
6.0ms	(* y (* y (* x x)))
5.0ms	(* y (* x x))

series77.0ms (5%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0)))) (+ (* y x) (* z (- y 1.0))))
24.0ms	(+ (* y (* y (* x x))) (* z (* (* z (- 1.0 y)) (- y 1.0))))
6.0ms	(* y (* x x))
6.0ms	(* y (* y (* x x)))

simplify58.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4970	1947
1	4970	1947

prune156.0ms (10.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes178.0ms (11.6%)

Accuracy

Total 0.0b remaining (43%)

Threshold costs 0.0b (43%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample419.0ms (27.1%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	80	valid
20.0ms	717×	body	80	invalid

Details

analyze311.0ms (20.2%)

sample16.0ms (1%)

simplify13.0ms (0.8%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

rewrite11.0ms (0.7%)

series13.0ms (0.8%)

simplify39.0ms (2.5%)

prune59.0ms (3.8%)

localize10.0ms (0.7%)

rewrite10.0ms (0.7%)

series14.0ms (0.9%)

simplify45.0ms (2.9%)

prune47.0ms (3.1%)

localize17.0ms (1.1%)

rewrite35.0ms (2.2%)

series77.0ms (5%)

simplify58.0ms (3.8%)

prune156.0ms (10.1%)

regimes178.0ms (11.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample419.0ms (27.1%)

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