Details

analyze288.0ms

Algorithm

sampling

Space saved by range analysis: 87.542707%

Space saved by search: 92.708788%

Guaranteed chance to sample good point: 98.446217%

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify450.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 0.1b

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) (- 1.0 m))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

7.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series26.0ms

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) (- 1.0 m))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune138.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	4	93

Merged error: 0b

Counts

93 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
118×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
28.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
8.0ms	(/ m (/ v (- 1.0 m)))

series19.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify87.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	684	1470
1	3431	1414
2	5002	1413

prune243.0ms

Filtered

138 candidates to 184 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	184	4	188

Merged error: 0b

Counts

188 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt 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)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

5.0ms	(- (sqrt 1.0) (sqrt m))
7.0ms	(/ (* m (- 1.0 m)) v)
21.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (sqrt 1.0) (sqrt m))
6.0ms	(/ (* m (- 1.0 m)) v)
15.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify40.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	881	1795
1	5001	1579

prune267.0ms

Filtered

104 candidates to 139 candidates (-33.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	139	4	143

Merged error: 0b

Counts

143 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))
0.1b	(cbrt (- 1.0 m))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))
3.0ms	(cbrt (- 1.0 m))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (- 1.0 m)) (cbrt (- 1.0 m)))
6.0ms	(cbrt (- 1.0 m))
6.0ms	(cbrt (- 1.0 m))
8.0ms	(cbrt (- 1.0 m))

simplify147.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	330	920
1	1042	880
2	4568	822
3	5002	818

prune245.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes98.0ms

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	9	6
1	9	6

end0.0ms

analyze85.0ms

Algorithm

sampling

Space saved by range analysis: 87.542707%

Space saved by search: 92.708788%

Guaranteed chance to sample good point: 98.446217%

sample593.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
157.0ms	8031×	pre	80	true
1.0ms	31×	body	80	invalid

Details

analyze288.0ms

sample25.0ms

simplify450.0ms

prune5.0ms

localize9.0ms

rewrite44.0ms

series26.0ms

simplify56.0ms

prune138.0ms

localize7.0ms

rewrite52.0ms

series19.0ms

simplify87.0ms

prune243.0ms

localize12.0ms

rewrite55.0ms

series45.0ms

simplify40.0ms

prune267.0ms

localize13.0ms

rewrite23.0ms

series28.0ms

simplify147.0ms

prune245.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze85.0ms

sample593.0ms

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