Details

sample302.0ms

Algorithm

intervals

Results

14.0ms	475×	body	80	valid
7.0ms	475×	pre	80	true

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
46×	`times-frac`
35×	`add-cube-cbrt`
30×	`associate-r`
22×	`associate-l`
14×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`difference-of-squares`
9×	`flip3--` `flip--`
8×	`pow1` `distribute-lft-out--` `unswap-sqr`
6×	`associate-r/` `-commutative` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

4 → 153

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
6.0ms	(* m (- 1.0 m))
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)

series177.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
53.0ms	(* m (- 1.0 m))
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)

simplify78.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	567	1144
1	2689	1082
2	5001	1070

prune253.0ms

Filtered

165 candidates to 115 candidates (30.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	159	6	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	6	166

Merged error: 0.0b

Counts

166 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ 1.0 m))
0.0b	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

1071×	`add-sqr-sqrt`
676×	`associate-r`
550×	`times-frac`
453×	`*-un-lft-identity`
381×	`difference-of-squares`
246×	`associate-l`
214×	`unswap-sqr`
210×	`*-commutative`
181×	`add-cube-cbrt`
180×	`swap-sqr`
77×	`distribute-lft-out--`
44×	`distribute-lft-out`
42×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`pow1` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `frac-times` `sub-neg` `div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`+-commutative` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 740

Calls

4 calls:

6.0ms	(* v (+ 1.0 m))
193.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
27.0ms	(* m (- (* 1.0 1.0) (* m m)))
47.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* v (+ 1.0 m))
69.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
79.0ms	(* m (- (* 1.0 1.0) (* m m)))
86.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify129.0ms

Algorithm

egg-herbie

Counts

752 → 752

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	2157	7718
1	5002	7509

prune684.0ms

Filtered

752 candidates to 263 candidates (65.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	751	1	752
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	752	6	758

Merged error: 0.0b

Counts

758 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
47×	`associate-l`
46×	`times-frac`
44×	`associate-r`
39×	`add-cube-cbrt`
32×	`frac-times`
23×	`flip3--` `flip--`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
15×	`difference-of-squares`
14×	`associate-r/` `associate-/l`
13×	`pow1`
12×	`flip3-+` `flip-+` `unswap-sqr`
10×	`sqrt-prod`
9×	`distribute-lft-out--`
8×	`*-commutative`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`sub-neg` `distribute-lft-out` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `div-exp` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 210

Calls

4 calls:

6.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
43.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
34.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
150.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
155.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify52.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1059	2392
1	5001	2171

prune479.0ms

Filtered

222 candidates to 168 candidates (24.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	221	7	228

Merged error: 0b

Counts

228 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))
0.1b	(* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

144×	`frac-times`
141×	`add-sqr-sqrt`
120×	`sqrt-div`
81×	`*-un-lft-identity`
78×	`associate-r`
64×	`associate-l`
61×	`flip3--` `flip--`
60×	`flip3-+` `flip-+`
50×	`associate-*r/` `sqrt-prod`
48×	`associate-*l/`
46×	`times-frac`
45×	`add-cube-cbrt`
35×	`unswap-sqr`
25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
18×	`difference-of-squares`
14×	`associate-/l*`
11×	`prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `distribute-lft-out--`
9×	`*-commutative`
8×	`distribute-lft-out`
6×	`sub-neg`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 316

Calls

4 calls:

12.0ms	(/ (* m (- 1.0 m)) v)
61.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))))
35.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))
15.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* m (- 1.0 m)) v)
153.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m)))) (* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))))
415.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt (+ (sqrt 1.0) (sqrt m))))
325.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify92.0ms

Algorithm

egg-herbie

Counts

328 → 328

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1682	6661
1	5001	6240

prune990.0ms

Filtered

328 candidates to 249 candidates (24.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	326	2	328
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	328	7	335

Merged error: 0b

Counts

335 → 7

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample745.0ms

Algorithm

intervals

Results

331.0ms	13853×	body	80	valid
182.0ms	13853×	pre	80	true