Details

analyze67.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	250×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	74	7
1	74	7

prune9.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 10.0 (+ d2 20.0))
0.0b	(* d1 (+ 10.0 (+ d2 20.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

5.0ms	(+ 10.0 (+ d2 20.0))
7.0ms	(* d1 (+ 10.0 (+ d2 20.0)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(+ 10.0 (+ d2 20.0))
5.0ms	(* d1 (+ 10.0 (+ d2 20.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4994	334
1	4994	334

prune61.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.2b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+ (* d1 10.0) (* d1 d2))
8.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* d1 10.0) (* d1 d2))
5.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6375	277

prune46.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 10.0 (+ d2 20.0))
0.0b	(* d1 (cbrt (pow (+ 10.0 (+ d2 20.0)) 3)))
0.0b	(pow (+ 10.0 (+ d2 20.0)) 3)
15.4b	(cbrt (pow (+ 10.0 (+ d2 20.0)) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
36×	`cbrt-prod`
24×	`add-sqr-sqrt`
21×	`distribute-lft-out`
19×	`associate-r`
16×	`unpow-prod-down` `cube-prod`
15×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`cube-div` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l` `sum-log`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 111

Calls

4 calls:

5.0ms	(+ 10.0 (+ d2 20.0))
11.0ms	(* d1 (cbrt (pow (+ 10.0 (+ d2 20.0)) 3)))
6.0ms	(pow (+ 10.0 (+ d2 20.0)) 3)
6.0ms	(cbrt (pow (+ 10.0 (+ d2 20.0)) 3))

series11.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 10.0 (+ d2 20.0))
5.0ms	(* d1 (cbrt (pow (+ 10.0 (+ d2 20.0)) 3)))
2.0ms	(pow (+ 10.0 (+ d2 20.0)) 3)
2.0ms	(cbrt (pow (+ 10.0 (+ d2 20.0)) 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5144	1055

prune130.0ms

Filtered

66 candidates to 123 candidates (-86.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ d2 20.0) 3)
0.0b	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
1.9b	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
15.9b	(/ (* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3))) (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
16×	`frac-sub`
15×	`distribute-lft-out`
13×	`add-sqr-sqrt` `associate-r`
12×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
11×	`add-cube-cbrt`
8×	`frac-times`
7×	`pow1`
6×	`associate-*l/` `add-log-exp`
4×	`sub-div`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `cube-div` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-pow` `frac-2neg` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `clear-num` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

4.0ms	(pow (+ d2 20.0) 3)
13.0ms	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
16.0ms	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
24.0ms	(/ (* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3))) (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(pow (+ d2 20.0) 3)
3.0ms	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
16.0ms	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
40.0ms	(/ (* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3))) (+ (* 10.0 10.0) (- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))))

simplify84.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	2316
1	4945	2316

prune251.0ms

Filtered

85 candidates to 132 candidates (-55.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes126.0ms

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	30	7
1	30	7

end0.0ms

sample402.0ms

Algorithm

intervals

Results

247.0ms	7847×	body	80	valid
9.0ms	66×	body	1280	valid
5.0ms	49×	body	640	valid
3.0ms	99×	body	80	invalid
2.0ms	27×	body	320	valid
1.0ms	11×	body	160	valid

Details

analyze67.0ms

sample20.0ms

simplify4.0ms

prune9.0ms

localize5.0ms

rewrite14.0ms

series7.0ms

simplify46.0ms

prune61.0ms

localize7.0ms

rewrite12.0ms

series10.0ms

simplify40.0ms

prune46.0ms

localize9.0ms

rewrite32.0ms

series11.0ms

simplify39.0ms

prune130.0ms

localize15.0ms

rewrite62.0ms

series61.0ms

simplify84.0ms

prune251.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample402.0ms

Profiling