Details

analyze72.0ms

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

sample15.0ms

Algorithm

intervals

Results

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

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms

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

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)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5342	212

prune48.0ms

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)))

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-+` `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))
6.0ms	(+ (* d1 10.0) (* d1 (+ d2 20.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5151	319

prune63.0ms

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)))))

rewrite64.0ms

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)
19.0ms	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
25.0ms	(/ (* 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)))))

series66.0ms

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)
19.0ms	(* d1 (+ (pow 10.0 3) (pow (+ d2 20.0) 3)))
42.0ms	(/ (* 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)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5349	2312

prune387.0ms

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

localize20.0ms

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)))))))

rewrite44.0ms

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:

10.0ms	(+ (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)))))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (pow (* d1 10.0) 3) (pow (* d1 (+ d2 20.0)) 3))
9.0ms	(* d1 (* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0))))))
9.0ms	(* d1 (+ (* 10.0 10.0) (* (+ d2 20.0) (+ d2 (- 20.0 10.0)))))
48.0ms	(/ (+ (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)))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5070	2516

prune309.0ms

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

regimes77.0ms

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

sample368.0ms

Algorithm

intervals

Results

223.0ms	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

analyze72.0ms

sample15.0ms

simplify4.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series5.0ms

simplify60.0ms

prune48.0ms

localize6.0ms

rewrite13.0ms

series10.0ms

simplify42.0ms

prune63.0ms

localize16.0ms

rewrite64.0ms

series66.0ms

simplify52.0ms

prune387.0ms

localize20.0ms

rewrite44.0ms

series87.0ms

simplify46.0ms

prune309.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample368.0ms

Profiling