Details

sample280.0ms

Algorithm

intervals

Results

11.0ms	419×	body	80	valid
6.0ms	419×	pre	80	true

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series155.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify92.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
82.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
196.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ v (- 1.0 m))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
42.0ms	(/ m (/ v (- 1.0 m)))

simplify78.0ms

Algorithm

egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818

prune861.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (- 1.0 m))
0.2b	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
0.3b	(/ m (sqrt v))
0.3b	(/ (- 1.0 m) (sqrt v))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
52×	`add-cube-cbrt`
48×	`times-frac`
30×	`sqrt-prod`
18×	`prod-diff`
12×	`associate-/r*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `associate-*r/` `div-exp` `clear-num` `flip--` `div-inv` `associate-/l/`
1×	`div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

11.0ms	(* (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
3.0ms	(/ m (sqrt v))
9.0ms	(/ (- 1.0 m) (sqrt v))

series215.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0)) (- 1.0 m))
58.0ms	(fma (/ m (sqrt v)) (/ (- 1.0 m) (sqrt v)) (- 1.0))
42.0ms	(/ m (sqrt v))
46.0ms	(/ (- 1.0 m) (sqrt v))

simplify79.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	643	1703
1	2662	1490
2	5001	1458

prune360.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
0.0b	(/ (* m (- 1.0 m)) v)
3.5b	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

306×	`prod-diff`
200×	`add-sqr-sqrt`
182×	`*-un-lft-identity`
168×	`add-cube-cbrt`
157×	`distribute-rgt-in` `distribute-lft-in`
156×	`unpow-prod-down` `cube-prod`
56×	`sqr-pow`
48×	`cube-mult` `unpow3`
30×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
14×	`flip3--` `flip--`
10×	`associate-/l/`
8×	`pow1` `frac-times` `associate-r/` `associate-l*`
7×	`distribute-lft-out--`
6×	`times-frac` `associate-/r*`
4×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `-commutative` `div-inv` `associate-/l` `unswap-sqr`
1×	`difference-cubes` `flip3-+` `flip-+`

Counts

4 → 448

Calls

4 calls:

11.0ms	(* m (- 1.0 m))
114.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
10.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3)))
35.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

simplify103.0ms

Algorithm

egg-herbie

Counts

460 → 460

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1273	7817
1	5001	6356

prune470.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b 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

sample737.0ms

Algorithm

intervals

Results

324.0ms	13562×	body	80	valid
191.0ms	13562×	pre	80	true