Details

analyze305.0ms (15.2%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	48%	8.7%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	23.7%	15%	13
65%	19.8%	15.3%	14

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify23.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	565	9
1	565	9

prune9.0ms (0.5%)

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 → 2

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b	(* (- y x) (* 6.0 z))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

7.0ms

(* (- y x) (* 6.0 z))

series11.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

11.0ms

(* (- y x) (* 6.0 z))

simplify38.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5030	195

prune50.0ms (2.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.4b	(* (* (- y x) 6.0) z)

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

7.0ms	(* (* (- y x) 6.0) z)
6.0ms	(* (- y x) 6.0)

series12.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* (- y x) 6.0) z)
4.0ms	(* (- y x) 6.0)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5137	340

prune80.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
2.9b	(cbrt (* (- y x) (* 6.0 z)))
2.9b	(cbrt (* (- y x) (* 6.0 z)))
2.9b	(cbrt (* (- y x) (* 6.0 z)))

rewrite30.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(cbrt (* (- y x) (* 6.0 z)))
8.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))

series181.0ms (9%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
41.0ms	(cbrt (* (- y x) (* 6.0 z)))
38.0ms	(cbrt (* (- y x) (* 6.0 z)))
38.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify38.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5003	1144

prune210.0ms (10.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	84	8	92

Merged error: 0b

Counts

92 → 8

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.4b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b	(* (- y x) (sqrt 6.0))

rewrite31.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-r`
12×	`associate-*l/`
11×	`*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
7×	`associate-l` `sqrt-prod`
3×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

11.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
9.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
8.0ms	(* (- y x) (sqrt 6.0))

series36.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
10.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
7.0ms	(* (- y x) (sqrt 6.0))

simplify42.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5347	596

prune123.0ms (6.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0b

Counts

89 → 8

regimes247.0ms (12.4%)

Accuracy

Total 0.2b remaining (89.6%)

Threshold costs 0.2b (89.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample420.0ms (21%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	80	valid
16.0ms	589×	body	80	invalid

Details

analyze305.0ms (15.2%)

sample16.0ms (0.8%)

simplify23.0ms (1.1%)

prune9.0ms (0.5%)

localize6.0ms (0.3%)

rewrite8.0ms (0.4%)

series11.0ms (0.5%)

simplify38.0ms (1.9%)

prune50.0ms (2.5%)

localize9.0ms (0.4%)

rewrite15.0ms (0.7%)

series12.0ms (0.6%)

simplify43.0ms (2.2%)

prune80.0ms (4%)

localize11.0ms (0.5%)

rewrite30.0ms (1.5%)

series181.0ms (9%)

simplify38.0ms (1.9%)

prune210.0ms (10.5%)

localize9.0ms (0.4%)

rewrite31.0ms (1.5%)

series36.0ms (1.8%)

simplify42.0ms (2.1%)

prune123.0ms (6.2%)

regimes247.0ms (12.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample420.0ms (21%)

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