Details

sample291.0ms

Algorithm

intervals

Results

11.0ms	424×	body	80	valid
6.0ms	424×	pre	80	true

simplify84.0ms

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

prune3.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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)

rewrite32.0ms

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:

6.0ms	(* m (- 1.0 m))
13.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series147.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
62.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (51.0ms)

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

prune171.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

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

series119.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
38.0ms	(* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))
37.0ms	(/ (* m (- 1.0 m)) v)

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	395	587
1	2043	536
2	5002	530

prune164.0ms

Filtered

92 candidates to 60 candidates (65.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 m) (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0))
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

28.0ms	(* (- 1.0 m) (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0))
20.0ms	(* m (- (pow 1.0 3) (pow m 3)))
9.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
21.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

series321.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (- 1.0 m) (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0))
94.0ms	(* m (- (pow 1.0 3) (pow m 3)))
36.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
103.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))

simplify126.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	706	1505
1	4069	1324
2	5001	1324

prune346.0ms

Filtered

137 candidates to 87 candidates (63.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0b

Counts

142 → 5

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)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
16.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
136.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
135.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify42.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	855	1758
1	5002	1540

prune364.0ms

Filtered

147 candidates to 105 candidates (71.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	147	5	152

Merged error: 0b

Counts

152 → 5

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample714.0ms

Algorithm

intervals

Results

318.0ms	13801×	body	80	valid
178.0ms	13801×	pre	80	true