Details

analyze683.0ms (25.2%)

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%	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
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	80×	body	80	invalid

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune7.0ms (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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

13.0ms	(* (- y z) (- t x))
4.0ms	(+ x (* (- y z) (- t x)))

series23.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify34.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5066	573

prune85.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (neg x))
0.0b	(* (- y z) t)
0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `neg-mul-1` `associate-+r+`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(* (- y z) (neg x))
8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)

series40.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) (neg x))
6.0ms	(* (- y z) t)

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5213	889

prune118.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series108.0ms (4%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
28.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))

simplify59.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4967	1021
1	4967	1021

prune144.0ms (5.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt (- y z)) (* (- t x) (sqrt (- y z)))))
0.1b	(* (- t x) (sqrt (- y z)))
0.2b	(* (sqrt (- y z)) (* (- t x) (sqrt (- y z))))

rewrite33.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3--` `flip--`
32×	`frac-times`
18×	`add-sqr-sqrt`
16×	`associate-*r/`
14×	`*-un-lft-identity`
13×	`associate-l`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
9×	`associate-r`
8×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 94

Calls

3 calls:

15.0ms	(* (sqrt (- y z)) (* (- t x) (sqrt (- y z))))
10.0ms	(* (- t x) (sqrt (- y z)))
4.0ms	(+ x (* (sqrt (- y z)) (* (- t x) (sqrt (- y z)))))

series43.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (- t x) (sqrt (- y z)))
14.0ms	(+ x (* (sqrt (- y z)) (* (- t x) (sqrt (- y z)))))
13.0ms	(* (sqrt (- y z)) (* (- t x) (sqrt (- y z))))

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5036	1577

prune122.0ms (4.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0b

Counts

108 → 5

regimes361.0ms (13.3%)

Accuracy

Total 0.0b remaining (47.7%)

Threshold costs 0.0b (47.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms (0%)

sample548.0ms (20.2%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	80	valid
66.0ms	2544×	body	80	invalid

Details

analyze683.0ms (25.2%)

sample21.0ms (0.8%)

simplify80.0ms (3%)

prune7.0ms (0.3%)

localize7.0ms (0.2%)

rewrite18.0ms (0.7%)

series23.0ms (0.9%)

simplify34.0ms (1.3%)

prune85.0ms (3.1%)

localize11.0ms (0.4%)

rewrite33.0ms (1.2%)

series40.0ms (1.5%)

simplify41.0ms (1.5%)

prune118.0ms (4.4%)

localize11.0ms (0.4%)

rewrite23.0ms (0.9%)

series108.0ms (4%)

simplify59.0ms (2.2%)

prune144.0ms (5.3%)

localize9.0ms (0.3%)

rewrite33.0ms (1.2%)

series43.0ms (1.6%)

simplify39.0ms (1.5%)

prune122.0ms (4.5%)

regimes361.0ms (13.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample548.0ms (20.2%)

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