Details

analyze313.0ms

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

sample19.0ms

Algorithm

intervals

Results

9.0ms	255×	body	80	valid
1.0ms	25×	body	80	invalid
0.0ms	1×	body	640	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

Filtered

1 candidates to 1 candidates (0.0%)

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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 → 25

Calls

1 calls:

9.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4943	267
1	4943	267

prune42.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:

5.0ms	(* (+ d3 5.0) d1)
3.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
5.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ d3 5.0) d1)
8.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
10.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5798	502

prune67.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
0.0b	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
0.2b	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
0.2b	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
25×	`sqrt-prod`
24×	`distribute-lft-out`
18×	`sqrt-div` `associate-r`
17×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

9.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
6.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
10.0ms	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
18.0ms	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
7.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
15.0ms	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
8.0ms	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4923	1420
1	4923	1420

prune145.0ms

Filtered

68 candidates to 107 candidates (-57.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2)))))
3.3b	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
3.8b	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
28.2b	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2))))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
50×	`distribute-lft-out`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `div-exp` `prod-exp` `sum-log` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2)))))
15.0ms	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
22.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
21.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2))))))

series128.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2)))))
12.0ms	(+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))
37.0ms	(* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3)))
69.0ms	(/ (* d1 (+ (pow d2 3) (pow (+ d3 (+ 5.0 32.0)) 3))) (+ (* d2 d2) (* (+ d3 (+ 5.0 32.0)) (+ d3 (+ 5.0 (- 32.0 d2))))))

simplify52.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5436	1992

prune178.0ms

Filtered

68 candidates to 111 candidates (-63.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes228.0ms

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	17	13
1	17	13

end0.0ms

analyze312.0ms

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

sample500.0ms

Algorithm

intervals

Results

292.0ms	7941×	body	80	valid
28.0ms	710×	body	80	invalid
3.0ms	20×	body	640	valid
2.0ms	14×	body	1280	valid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

Details

analyze313.0ms

sample19.0ms

simplify4.0ms

prune10.0ms

localize7.0ms

rewrite10.0ms

series8.0ms

simplify44.0ms

prune42.0ms

localize9.0ms

rewrite15.0ms

series22.0ms

simplify42.0ms

prune67.0ms

localize9.0ms

rewrite47.0ms

series36.0ms

simplify62.0ms

prune145.0ms

localize19.0ms

rewrite65.0ms

series128.0ms

simplify52.0ms

prune178.0ms

regimes228.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze312.0ms

sample500.0ms

Profiling