Details

analyze1.2s (6.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample56.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	80	valid
9.0ms	139×	body	80	invalid

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune20.0ms (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: 0.0b

Counts

2 → 1

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

10.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(+ (* x y) (* z t))

series40.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	369

prune46.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b	(pow (+ (* x y) (* z t)) 3)
34.6b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

9.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
5.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))
5.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(+ (* x y) (* z t))

series71.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (+ (* x y) (* z t)) 3)
18.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
9.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))
9.0ms	(+ (* x y) (* z t))

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4930	1013
1	4930	1013

prune116.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	82	3	85

Merged error: 0.0b

Counts

85 → 3

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* z t) (* a b))
0.0b	(+ (* x y) (+ (* z t) (* a b)))
0.2b	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
38.9b	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
6.0ms	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
6.0ms	(+ (* x y) (+ (* z t) (* a b)))
4.0ms	(+ (* z t) (* a b))

series1.8s (10.2%)

Counts

4 → 12

Calls

4 calls:

1.8s	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
20.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
19.0ms	(+ (* x y) (+ (* z t) (* a b)))
9.0ms	(+ (* z t) (* a b))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5092	1292

prune127.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.1b	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
9.1b	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
10.4b	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))
10.4b	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`sqrt-prod`
30×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unpow-prod-down` `cube-prod`
8×	`cube-div` `rem-sqrt-square` `sqrt-div`
6×	`sqr-pow`
4×	`pow1` `add-exp-log` `cube-mult` `cbrt-div` `flip3-+` `unpow3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 104

Calls

4 calls:

8.0ms	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))
7.0ms	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))
7.0ms	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
7.0ms	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

series12.2s (67.7%)

Counts

4 → 12

Calls

4 calls:

6.1s	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
5.9s	(sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))
131.0ms	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))
126.0ms	(cbrt (sqrt (pow (+ (* x y) (+ (* z t) (* a b))) 3)))

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5263	2694

prune303.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes769.0ms (4.3%)

Accuracy

Total 0.0b remaining (17%)

Threshold costs 0.0b (17%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms (0%)

sample921.0ms (5.1%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	80	valid
163.0ms	3940×	body	80	invalid

Details

analyze1.2s (6.7%)

sample56.0ms (0.3%)

simplify4.0ms (0%)

prune20.0ms (0.1%)

localize15.0ms (0.1%)

rewrite17.0ms (0.1%)

series40.0ms (0.2%)

simplify40.0ms (0.2%)

prune46.0ms (0.3%)

localize12.0ms (0.1%)

rewrite23.0ms (0.1%)

series71.0ms (0.4%)

simplify48.0ms (0.3%)

prune116.0ms (0.6%)

localize12.0ms (0.1%)

rewrite24.0ms (0.1%)

series1.8s (10.2%)

simplify43.0ms (0.2%)

prune127.0ms (0.7%)

localize17.0ms (0.1%)

rewrite32.0ms (0.2%)

series12.2s (67.7%)

simplify32.0ms (0.2%)

prune303.0ms (1.7%)

regimes769.0ms (4.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample921.0ms (5.1%)

Profiling