Details

analyze266.0ms

Algorithm

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%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune40.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.2b	(cbrt (* y (+ z x)))
4.2b	(cbrt (* y (+ z x)))
4.2b	(cbrt (* y (+ z x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.0ms	(cbrt (* y (+ z x)))
4.0ms	(cbrt (* y (+ z x)))
4.0ms	(cbrt (* y (+ z x)))

series124.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
29.0ms	(cbrt (* y (+ z x)))
27.0ms	(cbrt (* y (+ z x)))
28.0ms	(cbrt (* y (+ z x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4914	784
1	4914	784

prune84.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

87 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

4.0b	(* y (* y (* (+ z x) (+ z x))))
5.3b	(- (* x x) (* y (* y (* (+ z x) (+ z x)))))
10.6b	(* y (* (+ z x) (+ z x)))
29.1b	(/ (- (* x x) (* y (* y (* (+ z x) (+ z x))))) (- x (* y (+ z x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`flip3-+` `flip-+`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times` `associate--r+`
6×	`associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

12.0ms	(* y (* y (* (+ z x) (+ z x))))
4.0ms	(- (* x x) (* y (* y (* (+ z x) (+ z x)))))
10.0ms	(* y (* (+ z x) (+ z x)))
7.0ms	(/ (- (* x x) (* y (* y (* (+ z x) (+ z x))))) (- x (* y (+ z x))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (* y (* (+ z x) (+ z x))))
23.0ms	(- (* x x) (* y (* y (* (+ z x) (+ z x)))))
8.0ms	(* y (* (+ z x) (+ z x)))
45.0ms	(/ (- (* x x) (* y (* y (* (+ z x) (+ z x))))) (- x (* y (+ z x))))

simplify49.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5094	2146

prune109.0ms

Filtered

94 candidates to 131 candidates (-39.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Merged error: 0b

Counts

134 → 3

regimes173.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample382.0ms

Algorithm

intervals

Results

188.0ms	8000×	body	80	valid
15.0ms	553×	body	80	invalid

Details

analyze266.0ms

sample16.0ms

simplify4.0ms

prune6.0ms

localize5.0ms

rewrite13.0ms

series13.0ms

simplify58.0ms

prune40.0ms

localize12.0ms

rewrite20.0ms

series124.0ms

simplify39.0ms

prune84.0ms

localize12.0ms

rewrite38.0ms

series84.0ms

simplify49.0ms

prune109.0ms

regimes173.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample382.0ms

Profiling