Details

analyze407.0ms (18.6%)

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify261.0ms (11.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (259.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	9

prune8.0ms (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: 9.6b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
9.0b	(/ (+ x (* y (- z x))) z)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

6.0ms	(* y (- z x))
5.0ms	(/ (+ x (* y (- z x))) z)
3.0ms	(+ x (* y (- z x)))

series25.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (+ x (* y (- z x))) z)
7.0ms	(+ x (* y (- z x)))
7.0ms	(* y (- z x))

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4893	763
1	4893	763

prune112.0ms (5.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Merged error: 9.5b

Counts

76 → 8

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ (* y z) (* y (neg x))))
0.6b	(+ (* y z) (* y (neg x)))
9.0b	(/ (+ x (+ (* y z) (* y (neg x)))) z)

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
10×	`add-log-exp`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube`
4×	`sum-log` `associate-/l*`
3×	`pow1` `flip3-+` `unsub-neg` `associate-/r*` `distribute-rgt-neg-out` `flip-+`
2×	`+-commutative` `associate-+r-` `associate-/l/`
1×	`cbrt-undiv` `associate-+r+` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 62

Calls

3 calls:

7.0ms	(/ (+ x (+ (* y z) (* y (neg x)))) z)
5.0ms	(+ x (+ (* y z) (* y (neg x))))
4.0ms	(+ (* y z) (* y (neg x)))

series27.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (+ x (+ (* y z) (* y (neg x)))) z)
7.0ms	(+ (* y z) (* y (neg x)))
7.0ms	(+ x (+ (* y z) (* y (neg x))))

simplify54.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4977	785
1	4977	785

prune91.0ms (4.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	74	5	79

Merged error: 2.3b

Counts

79 → 5

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) x)
0.0b	(- y (/ (- (* x y) x) z))
2.3b	(/ (- (* x y) x) z)

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

3 → 56

Calls

3 calls:

8.0ms	(- y (/ (- (* x y) x) z))
5.0ms	(/ (- (* x y) x) z)
4.0ms	(- (* x y) x)

series20.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ (- (* x y) x) z)
7.0ms	(- y (/ (- (* x y) x) z))
5.0ms	(- (* x y) x)

simplify45.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6036	715

prune81.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 2.3b

Counts

70 → 5

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
9.0b	(/ (+ x (* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))) z)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`cbrt-prod` `add-cube-cbrt`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 74

Calls

4 calls:

5.0ms	(/ (+ x (* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))) z)
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))

series91.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- z x))
26.0ms	(cbrt (- z x))
26.0ms	(cbrt (- z x))
11.0ms	(/ (+ x (* (* y (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))) z)

simplify30.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4974	890
1	4974	890

prune98.0ms (4.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

regimes203.0ms (9.3%)

Accuracy

Total 0.0b remaining (61.7%)

Threshold costs 0.0b (61.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	11
1	42	11

end0.0ms (0%)

sample450.0ms (20.6%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	80	valid
32.0ms	1076×	body	80	invalid

Details

analyze407.0ms (18.6%)

sample17.0ms (0.8%)

simplify261.0ms (11.9%)

prune8.0ms (0.4%)

localize6.0ms (0.3%)

rewrite16.0ms (0.7%)

series25.0ms (1.1%)

simplify63.0ms (2.9%)

prune112.0ms (5.1%)

localize8.0ms (0.4%)

rewrite18.0ms (0.8%)

series27.0ms (1.2%)

simplify54.0ms (2.5%)

prune91.0ms (4.2%)

localize8.0ms (0.4%)

rewrite18.0ms (0.8%)

series20.0ms (0.9%)

simplify45.0ms (2.1%)

prune81.0ms (3.7%)

localize13.0ms (0.6%)

rewrite16.0ms (0.7%)

series91.0ms (4.2%)

simplify30.0ms (1.4%)

prune98.0ms (4.5%)

regimes203.0ms (9.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample450.0ms (20.6%)

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