Details

analyze700.0ms (16.2%)

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample27.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify198.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 3.4b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))

series29.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
8.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5153	1120

prune168.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	8	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.6b

Counts

96 → 9

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite86.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`associate-*r/`
10×	`associate-r`
9×	`cbrt-div`
8×	`times-frac`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`cbrt-prod` `pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

24.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
22.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series189.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
57.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4977	1116
1	4977	1116

prune235.0ms (5.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	75	12	87

Merged error: 0.6b

Counts

87 → 12

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
4.7b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite96.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
16×	`times-frac`
12×	`cbrt-prod`
10×	`associate-r`
9×	`cbrt-div` `associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

33.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
23.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
19.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series167.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
56.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
38.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4956	1298
1	4956	1298

prune253.0ms (5.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	87	12	99

Merged error: 0.6b

Counts

99 → 12

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.2b	(* x (- (/ y z) (/ t (- 1.0 z))))
4.7b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
4.7b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.7b	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite81.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
24×	`times-frac`
21×	`cbrt-prod`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
9×	`cbrt-div`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
4×	`flip3--` `frac-sub` `flip--` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

22.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))
20.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series144.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
37.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
36.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4956	1471
1	4956	1471

prune242.0ms (5.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	96	12	108

Merged error: 0.6b

Counts

108 → 12

regimes741.0ms (17.1%)

Accuracy

Total 2.6b remaining (75%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	40
1	61	40

end0.0ms (0%)

sample616.0ms (14.3%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	80	valid
67.0ms	1844×	body	80	invalid

Details

analyze700.0ms (16.2%)

sample27.0ms (0.6%)

simplify198.0ms (4.6%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

rewrite49.0ms (1.1%)

series29.0ms (0.7%)

simplify47.0ms (1.1%)

prune168.0ms (3.9%)

localize13.0ms (0.3%)

rewrite86.0ms (2%)

series189.0ms (4.4%)

simplify45.0ms (1%)

prune235.0ms (5.5%)

localize16.0ms (0.4%)

rewrite96.0ms (2.2%)

series167.0ms (3.9%)

simplify70.0ms (1.6%)

prune253.0ms (5.9%)

localize17.0ms (0.4%)

rewrite81.0ms (1.9%)

series144.0ms (3.3%)

simplify74.0ms (1.7%)

prune242.0ms (5.6%)

regimes741.0ms (17.1%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample616.0ms (14.3%)

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