Details

analyze308.0ms (10.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample27.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	13×	body	80	nan
0.0ms	1×	body	80	invalid

simplify224.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	6359	11

prune8.0ms (0.3%)

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

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(- (* x (log y)) y)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

11.0ms	(+ (- (- (* x (log y)) y) z) (log t))
7.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))
4.0ms	(- (* x (log y)) y)

series41.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (- (- (* x (log y)) y) z) (log t))
12.0ms	(- (* x (log y)) y)
8.0ms	(- (- (* x (log y)) y) z)
7.0ms	(* x (log y))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5092	985

prune130.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

7.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series86.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
19.0ms	(* x (log (cbrt y)))

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune124.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* x (log y)))
0.3b	(* x (log y))
0.3b	(* x (log y))
0.3b	(* (sqrt (* x (log y))) (sqrt (* x (log y))))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod` `associate-r`
11×	`pow1/2`
10×	`add-exp-log` `associate-l` `pow-prod-up` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
5×	`sqrt-prod`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`log-pow`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 110

Calls

4 calls:

8.0ms	(* (sqrt (* x (log y))) (sqrt (* x (log y))))
5.0ms	(* x (log y))
4.0ms	(* x (log y))
2.0ms	(sqrt (* x (log y)))

series46.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (* x (log y)))
13.0ms	(* (sqrt (* x (log y))) (sqrt (* x (log y))))
9.0ms	(* x (log y))
7.0ms	(* x (log y))

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5296	1131

prune186.0ms (6.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize20.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series150.0ms (5%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (log y)) (cbrt (log y)))
37.0ms	(cbrt (log y))
37.0ms	(cbrt (log y))
35.0ms	(cbrt (log y))

simplify55.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4922	500
1	4922	500

prune135.0ms (4.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes538.0ms (17.8%)

Accuracy

Total 0.1b remaining (66.5%)

Threshold costs 0.1b (66.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms (0%)

sample668.0ms (22.1%)

Algorithm

1×

intervals

Results

432.0ms	7998×	body	80	valid
16.0ms	390×	body	80	nan
1.0ms	24×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze308.0ms (10.2%)

sample27.0ms (0.9%)

simplify224.0ms (7.4%)

prune8.0ms (0.3%)

localize11.0ms (0.4%)

rewrite30.0ms (1%)

series41.0ms (1.4%)

simplify46.0ms (1.5%)

prune130.0ms (4.3%)

localize16.0ms (0.5%)

rewrite17.0ms (0.6%)

series86.0ms (2.9%)

simplify64.0ms (2.1%)

prune124.0ms (4.1%)

localize13.0ms (0.4%)

rewrite23.0ms (0.8%)

series46.0ms (1.5%)

simplify37.0ms (1.2%)

prune186.0ms (6.2%)

localize20.0ms (0.7%)

rewrite13.0ms (0.4%)

series150.0ms (5%)

simplify55.0ms (1.8%)

prune135.0ms (4.5%)

regimes538.0ms (17.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample668.0ms (22.1%)

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