Details

sample322.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify487.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	67	5
3	169	5
4	345	5
5	466	5
6	670	5
7	1014	5
8	1528	5
9	2117	5
10	3037	5
11	5001	5

prune4.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 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) m)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
23.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series27.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify46.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	310	409
1	1511	363
2	5001	357

prune118.0ms

Filtered

52 candidates to 80 candidates (-53.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`associate-r` `associate-l`
10×	`pow1` `add-cube-cbrt`
8×	`associate-*r/`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/` `difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--`

Counts

4 → 95

Calls

4 calls:

6.0ms	(* m (- (* 1.0 1.0) (* m m)))
5.0ms	(* v (+ 1.0 m))
10.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
14.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* m (- (* 1.0 1.0) (* m m)))
5.0ms	(* v (+ 1.0 m))
9.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
12.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify80.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	485	814
1	2982	680
2	5002	680

prune133.0ms

Filtered

70 candidates to 107 candidates (-52.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Merged error: 0b

Counts

114 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b	(* (* m (- 1.0 m)) (/ 1 v))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
21×	`associate-r`
20×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt` `prod-exp`
12×	`pow1`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-r/` `associate-l*`
5×	`pow-prod-down`
4×	`flip3--` `div-exp` `associate-*l/` `flip--`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `unswap-sqr`
1×	`un-div-inv` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

6.0ms	(* m (- 1.0 m))
12.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
10.0ms	(* (* m (- 1.0 m)) (/ 1 v))

series19.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
6.0ms	(* (* m (- 1.0 m)) (/ 1 v))

simplify58.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	435	556
1	2325	478
2	5001	460

prune102.0ms

Filtered

58 candidates to 97 candidates (-67.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0b

Counts

104 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))
0.4b	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
108×	`times-frac`
96×	`*-un-lft-identity`
70×	`add-cube-cbrt`
60×	`sqrt-prod`
37×	`associate-r`
25×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`unswap-sqr`
8×	`pow1` `associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-*l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `div-sub` `associate-*r/`

Counts

4 → 200

Calls

4 calls:

13.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
4.0ms	(/ m (sqrt v))
6.0ms	(/ (- 1.0 m) (sqrt v))
22.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (- (* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v))) 1.0) m)
7.0ms	(/ m (sqrt v))
9.0ms	(/ (- 1.0 m) (sqrt v))
9.0ms	(* (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)))

simplify85.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	757	1686
1	3574	1572
2	5001	1508

prune195.0ms

Filtered

137 candidates to 212 candidates (-54.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	212	7	219

Merged error: 0b

Counts

219 → 7

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9

end0.0ms

sample713.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 87.530532%

Space saved by search: 92.701663%

Guaranteed chance to sample good point: 98.446217%

Results

252.0ms	8000×	body	80	valid
162.0ms	8030×	pre	80	true
1.0ms	30×	body	80	invalid

Details

sample322.0ms

simplify487.0ms

prune4.0ms

localize9.0ms

rewrite40.0ms

series27.0ms

simplify46.0ms

prune118.0ms

localize13.0ms

rewrite38.0ms

series33.0ms

simplify80.0ms

prune133.0ms

localize8.0ms

rewrite30.0ms

series19.0ms

simplify58.0ms

prune102.0ms

localize12.0ms

rewrite54.0ms

series37.0ms

simplify85.0ms

prune195.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample713.0ms

Profiling