Details

analyze75.0ms

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

sample16.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	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 1 expressions with local error:

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

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 (+ 10.0 (+ d2 20.0)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5342	212

prune41.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(* d1 (+ d2 20.0))
4.0ms	(+ (* d1 10.0) (* d1 (+ d2 20.0)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* d1 (+ d2 20.0))
8.0ms	(+ (* d1 10.0) (* d1 (+ d2 20.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5151	319

prune53.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
0.0b	(pow (+ d2 20.0) 3)
3.6b	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
14.9b	(/ (* 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)))))

rewrite63.0ms

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:

10.0ms	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
4.0ms	(pow (+ d2 20.0) 3)
17.0ms	(* 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)))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (* (+ d2 20.0) (+ d2 20.0)) (* 10.0 (+ d2 20.0)))
2.0ms	(pow (+ d2 20.0) 3)
17.0ms	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
43.0ms	(/ (* 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)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5349	2312

prune287.0ms

Filtered

85 candidates to 132 candidates (-55.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	4	136

Merged error: 0b

Counts

136 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

1.5b	(+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3))
2.2b	(* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0))))))
5.0b	(* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))
38.0b	(/ (+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3)) (* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3))
8.0ms	(* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0))))))
6.0ms	(* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))
16.0ms	(/ (+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3)) (* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3))
10.0ms	(* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0))))))
10.0ms	(* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))
52.0ms	(/ (+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3)) (* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5070	2516

prune225.0ms

Filtered

72 candidates to 114 candidates (-58.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	114	4	118

Merged error: 0b

Counts

118 → 4

regimes87.0ms

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	10	7
1	10	7

end0.0ms

sample397.0ms

Algorithm

intervals

Results

244.0ms	7871×	body	80	valid
7.0ms	52×	body	1280	valid
4.0ms	37×	body	640	valid
2.0ms	79×	body	80	invalid
2.0ms	27×	body	320	valid
1.0ms	13×	body	160	valid

Details

analyze75.0ms

sample16.0ms

simplify3.0ms

prune9.0ms

localize5.0ms

rewrite8.0ms

series9.0ms

simplify54.0ms

prune41.0ms

localize6.0ms

rewrite11.0ms

series13.0ms

simplify40.0ms

prune53.0ms

localize16.0ms

rewrite63.0ms

series65.0ms

simplify51.0ms

prune287.0ms

localize19.0ms

rewrite41.0ms

series90.0ms

simplify47.0ms

prune225.0ms

regimes87.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample397.0ms

Profiling