Details

analyze240.0ms (7.5%)

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

prune6.0ms (0.2%)

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: 0.1b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt` `log-prod`
5×	`pow1`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`flip3-+` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* (+ y 0.5) (log y))
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

series34.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (+ y 0.5) (log y))
14.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4967	512
1	4967	512

prune95.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

11.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
7.0ms	(* (+ y 0.5) (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series210.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
59.0ms	(* (+ y 0.5) (log (cbrt y)))
22.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4937	977
1	4937	977

prune169.0ms (5.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize22.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (pow y 1/3)))
0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`unpow-prod-down`
14×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
10×	`associate-*l/`
7×	`pow1` `add-exp-log`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r` `associate-l` `frac-add`
3×	`cbrt-prod` `pow-unpow`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
8.0ms	(* (+ y 0.5) (log (pow y 1/3)))
2.0ms	(pow y 1/3)
1.0ms	(cbrt y)

series234.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
55.0ms	(* (+ y 0.5) (log (pow y 1/3)))
22.0ms	(pow y 1/3)
21.0ms	(cbrt y)

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4909	1005
1	4909	1005

prune202.0ms (6.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize30.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow (pow y (sqrt 1/3)) (sqrt 1/3)))))
0.6b	(cbrt y)
5.1b	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
5.8b	(pow y (sqrt 1/3))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`unpow-prod-down`
22×	`associate-+r+` `log-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-*l/`
7×	`add-exp-log` `sqr-pow`
6×	`sqrt-prod` `add-log-exp`
5×	`pow1` `flip3-+` `pow-exp` `flip-+`
4×	`frac-add` `add-cbrt-cube`
3×	`cbrt-prod` `pow-to-exp`
2×	`pow-pow`
1×	`+-commutative` `pow1/3` `sum-log` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

16.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow (pow y (sqrt 1/3)) (sqrt 1/3)))))
4.0ms	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
3.0ms	(pow y (sqrt 1/3))
1.0ms	(cbrt y)

series380.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

287.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow (pow y (sqrt 1/3)) (sqrt 1/3)))))
47.0ms	(pow (pow y (sqrt 1/3)) (sqrt 1/3))
24.0ms	(cbrt y)
22.0ms	(pow y (sqrt 1/3))

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4923	1127
1	4923	1127

prune266.0ms (8.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

regimes303.0ms (9.4%)

Accuracy

Total 0.1b remaining (72.7%)

Threshold costs 0.1b (72.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	12
1	63	12

end0.0ms (0%)

sample522.0ms (16.2%)

Algorithm

1×

intervals

Results

348.0ms	7997×	body	80	valid
2.0ms	46×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze240.0ms (7.5%)

sample21.0ms (0.6%)

simplify115.0ms (3.6%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite13.0ms (0.4%)

series34.0ms (1.1%)

simplify46.0ms (1.4%)

prune95.0ms (2.9%)

localize14.0ms (0.4%)

rewrite23.0ms (0.7%)

series210.0ms (6.5%)

simplify81.0ms (2.5%)

prune169.0ms (5.2%)

localize22.0ms (0.7%)

rewrite26.0ms (0.8%)

series234.0ms (7.3%)

simplify64.0ms (2%)

prune202.0ms (6.3%)

localize30.0ms (0.9%)

rewrite27.0ms (0.9%)

series380.0ms (11.8%)

simplify65.0ms (2%)

prune266.0ms (8.3%)

regimes303.0ms (9.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample522.0ms (16.2%)

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