Details

analyze717.0ms (18.8%)

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
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	248×	body	80	valid
2.0ms	68×	body	80	invalid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

10.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
9.0ms	(* x (+ (* (+ y z) 2) t))

series25.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
10.0ms	(* x (+ (* (+ y z) 2) t))

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5376	519

prune82.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
0.5b	(cbrt (+ (* (+ y z) 2) t))
0.5b	(cbrt (+ (* (+ y z) 2) t))
0.5b	(cbrt (+ (* (+ y z) 2) t))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
8.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))

series185.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
44.0ms	(cbrt (+ (* (+ y z) 2) t))
43.0ms	(cbrt (+ (* (+ y z) 2) t))
41.0ms	(cbrt (+ (* (+ y z) 2) t))

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5292	1500

prune271.0ms (7.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series313.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
65.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune348.0ms (9.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (+ y z) 2) t))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `associate-r` `associate-l` `flip-+`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 109

Calls

4 calls:

23.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
9.0ms	(* x (+ (* (+ y z) 2) t))

series244.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
109.0ms	(sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
15.0ms	(* (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (sqrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
10.0ms	(* x (+ (* (+ y z) 2) t))

simplify31.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5051	2243

prune261.0ms (6.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

regimes291.0ms (7.6%)

Accuracy

Total 0.0b remaining (21.7%)

Threshold costs 0.0b (21.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample656.0ms (17.1%)

Algorithm

1×

intervals

Results

296.0ms	7722×	body	80	valid
76.0ms	1950×	body	80	invalid
14.0ms	85×	body	1280	valid
13.0ms	97×	body	640	valid
7.0ms	64×	body	320	valid
2.0ms	32×	body	160	valid

Details

analyze717.0ms (18.8%)

sample28.0ms (0.7%)

simplify9.0ms (0.2%)

prune8.0ms (0.2%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series25.0ms (0.7%)

simplify46.0ms (1.2%)

prune82.0ms (2.1%)

localize13.0ms (0.3%)

rewrite38.0ms (1%)

series185.0ms (4.8%)

simplify33.0ms (0.9%)

prune271.0ms (7.1%)

localize13.0ms (0.4%)

rewrite52.0ms (1.4%)

series313.0ms (8.2%)

simplify61.0ms (1.6%)

prune348.0ms (9.1%)

localize14.0ms (0.4%)

rewrite54.0ms (1.4%)

series244.0ms (6.4%)

simplify31.0ms (0.8%)

prune261.0ms (6.8%)

regimes291.0ms (7.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample656.0ms (17.1%)

Profiling