Details

analyze240.0ms (9.9%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	82	11
1	82	11

prune9.0ms (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: 5.3b

Counts

2 → 2

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
2.0b	(* x (* y (+ 1.0 (* z z))))
6.1b	(* y (+ 1.0 (* z z)))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

10.0ms	(* x (* y (+ 1.0 (* z z))))
7.0ms	(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
5.0ms	(* y (+ 1.0 (* z z)))

series43.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

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

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4978	818
1	4978	818

prune145.0ms (6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Merged error: 1.7b

Counts

82 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* 1.0 x)) (* y (* z (* z x))))
0.1b	(* z (* z x))
0.2b	(/ 1.0 (+ (* y (* 1.0 x)) (* y (* z (* z x)))))
6.1b	(* y (* z (* z x)))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

7.0ms	(/ 1.0 (+ (* y (* 1.0 x)) (* y (* z (* z x)))))
7.0ms	(* y (* z (* z x)))
6.0ms	(+ (* y (* 1.0 x)) (* y (* z (* z x))))
5.0ms	(* z (* z x))

series55.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1.0 (+ (* y (* 1.0 x)) (* y (* z (* z x)))))
19.0ms	(+ (* y (* 1.0 x)) (* y (* z (* z x))))
9.0ms	(* y (* z (* z x)))
4.0ms	(* z (* z x))

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5025	1060

prune158.0ms (6.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (* 1.0 x)) (* (* y z) (* z x)))
0.2b	(/ 1.0 (+ (* y (* 1.0 x)) (* (* y z) (* z x))))
2.4b	(* (* y z) (* z x))

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

7.0ms	(/ 1.0 (+ (* y (* 1.0 x)) (* (* y z) (* z x))))
6.0ms	(* (* y z) (* z x))
6.0ms	(+ (* y (* 1.0 x)) (* (* y z) (* z x)))

series52.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1.0 (+ (* y (* 1.0 x)) (* (* y z) (* z x))))
19.0ms	(+ (* y (* 1.0 x)) (* (* y z) (* z x)))
9.0ms	(* (* y z) (* z x))

simplify34.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5300	907

prune113.0ms (4.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.2b	(* (* z x) (cbrt y))
4.6b	(* (* (cbrt y) (cbrt y)) (* z (* (* z x) (cbrt y))))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1` `add-exp-log`
27×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

13.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* z x) (cbrt y))))
5.0ms	(* (* z x) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series71.0ms (3%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
16.0ms	(* (* z x) (cbrt y))
13.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* z x) (cbrt y))))

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4916	550
1	4916	550

prune107.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

regimes605.0ms (25.1%)

Accuracy

Total 1.5b remaining (86.6%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	15
1	17	15

end0.0ms (0%)

sample490.0ms (20.3%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	80	valid
17.0ms	495×	body	80	invalid

Details

analyze240.0ms (9.9%)

sample19.0ms (0.8%)

simplify4.0ms (0.1%)

prune9.0ms (0.4%)

localize8.0ms (0.3%)

rewrite25.0ms (1%)

series43.0ms (1.8%)

simplify44.0ms (1.8%)

prune145.0ms (6%)

localize9.0ms (0.4%)

rewrite26.0ms (1.1%)

series55.0ms (2.3%)

simplify37.0ms (1.5%)

prune158.0ms (6.6%)

localize9.0ms (0.4%)

rewrite20.0ms (0.8%)

series52.0ms (2.1%)

simplify34.0ms (1.4%)

prune113.0ms (4.7%)

localize13.0ms (0.5%)

rewrite26.0ms (1.1%)

series71.0ms (3%)

simplify51.0ms (2.1%)

prune107.0ms (4.4%)

regimes605.0ms (25.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample490.0ms (20.3%)

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