Details

analyze266.0ms (20.1%)

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%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify10.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune6.0ms (0.4%)

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

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series22.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* y (- z x)))
7.0ms	(* y (- z x))

simplify52.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune57.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.6%)

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+` `unsub-neg` `distribute-rgt-neg-out`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+ (+ x (* y z)) (* y (neg x)))
3.0ms	(+ x (* y z))

series13.0ms (1%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (+ x (* y z)) (* y (neg x)))
6.0ms	(+ x (* y z))

simplify43.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4980	269
1	4980	269

prune39.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b	(pow (* y (- z x)) 3)
33.5b	(cbrt (pow (* y (- z x)) 3))

rewrite22.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* y (- z x))
6.0ms	(pow (* y (- z x)) 3)
5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
3.0ms	(cbrt (pow (* y (- z x)) 3))

series44.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow (* y (- z x)) 3)
13.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
11.0ms	(cbrt (pow (* y (- z x)) 3))
7.0ms	(* y (- z x))

simplify37.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5063	748

prune120.0ms (9.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

regimes170.0ms (12.8%)

Accuracy

Total 0.0b remaining (45%)

Threshold costs 0.0b (45%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample361.0ms (27.3%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	80	valid
13.0ms	614×	body	80	invalid

Details

analyze266.0ms (20.1%)

sample15.0ms (1.1%)

simplify10.0ms (0.8%)

prune6.0ms (0.4%)

localize5.0ms (0.4%)

rewrite16.0ms (1.2%)

series22.0ms (1.6%)

simplify52.0ms (3.9%)

prune57.0ms (4.3%)

localize7.0ms (0.5%)

rewrite9.0ms (0.6%)

series13.0ms (1%)

simplify43.0ms (3.3%)

prune39.0ms (2.9%)

localize9.0ms (0.7%)

rewrite22.0ms (1.6%)

series44.0ms (3.3%)

simplify37.0ms (2.8%)

prune120.0ms (9.1%)

regimes170.0ms (12.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample361.0ms (27.3%)

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