Details

analyze309.0ms

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
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	254×	body	80	valid
1.0ms	20×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune10.0ms

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 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

7.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
6.0ms	(* (+ d3 5.0) d1)
7.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
4.0ms	(* (+ d3 5.0) d1)
8.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5015	502

prune86.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ d3 37.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

(* d1 (+ d2 (+ d3 37.0)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ d2 (+ d3 37.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5021	218

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt d1) (cbrt d1))
24.0ms	(cbrt d1)
22.0ms	(cbrt d1)
22.0ms	(cbrt d1)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5165	356

prune114.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0)))))
0.0b	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))) (* d1 32.0))
0.3b	(* d1 (sqrt (+ d3 5.0)))
0.3b	(* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

4.0ms	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0)))))
9.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))) (* d1 32.0))
7.0ms	(* d1 (sqrt (+ d3 5.0)))
12.0ms	(* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0)))))
8.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))) (* d1 32.0))
8.0ms	(* d1 (sqrt (+ d3 5.0)))
5.0ms	(* (sqrt (+ d3 5.0)) (* d1 (sqrt (+ d3 5.0))))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5033	971

prune157.0ms

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: 0b

Counts

94 → 3

regimes210.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample492.0ms

Algorithm

intervals

Results

277.0ms	7960×	body	80	valid
23.0ms	618×	body	80	invalid
2.0ms	14×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	8×	body	160	valid

Details

analyze309.0ms

sample18.0ms

simplify4.0ms

prune10.0ms

localize10.0ms

rewrite20.0ms

series19.0ms

simplify48.0ms

prune86.0ms

localize7.0ms

rewrite8.0ms

series7.0ms

simplify53.0ms

prune45.0ms

localize14.0ms

rewrite11.0ms

series92.0ms

simplify54.0ms

prune114.0ms

localize12.0ms

rewrite35.0ms

series28.0ms

simplify44.0ms

prune157.0ms

regimes210.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample492.0ms

Profiling