Details

sample298.0ms

Algorithm

intervals

Results

18.0ms	435×	body	80	valid
11.0ms	435×	pre	80	overflowed

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	5
1	34	5
2	72	5
3	188	5
4	406	5
5	636	5
6	938	5
7	1312	5
8	1969	5
9	2932	5
10	3912	5
11	5001	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
3×	`sub-neg` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
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 → 139

Calls

4 calls:

17.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series156.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
49.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	492	1130
1	2310	788
2	5002	775

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
443×	`add-sqr-sqrt`
427×	`*-un-lft-identity`
327×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
54×	`difference-of-squares`
50×	`distribute-lft-out--`
37×	`associate-/r/`
21×	`associate-/r*` `div-inv`
18×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `log1p-expm1-u` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 420

Calls

3 calls:

95.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
10.0ms	(/ m (/ v (- 1.0 m)))
216.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series101.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify147.0ms

Algorithm

egg-herbie

Counts

429 → 429

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	1031	5520
1	4076	4092
2	5001	4080

prune710.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))) 1.0) m)
0.2b	(/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))
0.3b	(/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))
0.4b	(* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m)))))

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
724×	`add-sqr-sqrt`
559×	`*-un-lft-identity`
507×	`sqrt-prod`
339×	`add-cube-cbrt`
188×	`associate-r`
168×	`difference-of-squares`
84×	`distribute-lft-out--`
66×	`associate-/r*`
37×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
26×	`distribute-lft-out`
16×	`associate-/r/`
13×	`cbrt-undiv` `div-exp` `unswap-sqr`
11×	`div-inv`
8×	`pow1` `flip3--` `flip--` `associate-/l*`
7×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 596

Calls

4 calls:

132.0ms	(* (- (* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))) 1.0) m)
18.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))
24.0ms	(/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))
185.0ms	(* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m)))))

series770.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (- (* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))) 1.0) m)
115.0ms	(/ (+ (sqrt 1.0) (sqrt m)) (sqrt v))
146.0ms	(/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m))))
354.0ms	(* (/ (+ (sqrt 1.0) (sqrt m)) (sqrt v)) (/ m (/ (sqrt v) (- (sqrt 1.0) (sqrt m)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1969	8765
1	5001	8265

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.0 m (/ (pow m 3) v))
0.0b	(+ (/ (pow m 2) (/ v 1.0)) (- (fma 1.0 m (/ (pow m 3) v))))
8.8b	(/ (pow m 3) v)
13.7b	(/ (pow m 2) (/ v 1.0))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

397×	`times-frac`
207×	`*-un-lft-identity`
203×	`add-sqr-sqrt` `add-cube-cbrt`
109×	`fma-def`
93×	`unpow-prod-down`
31×	`sqr-pow`
27×	`unpow2`
22×	`add-exp-log`
20×	`div-inv` `associate-/l*`
16×	`associate-/r*`
12×	`cube-prod` `div-exp`
11×	`add-cbrt-cube`
8×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `cube-mult` `unpow3` `log1p-expm1-u`
3×	`pow-to-exp` `pow-exp`
2×	`frac-2neg` `clear-num` `sum-log` `associate-/r/` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+r-` `associate-+r+` `distribute-neg-in` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

4 → 352

Calls

4 calls:

0.0ms	(fma 1.0 m (/ (pow m 3) v))
102.0ms	(+ (/ (pow m 2) (/ v 1.0)) (- (fma 1.0 m (/ (pow m 3) v))))
5.0ms	(/ (pow m 3) v)
9.0ms	(/ (pow m 2) (/ v 1.0))

series124.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma 1.0 m (/ (pow m 3) v))
38.0ms	(+ (/ (pow m 2) (/ v 1.0)) (- (fma 1.0 m (/ (pow m 3) v))))
21.0ms	(/ (pow m 3) v)
30.0ms	(/ (pow m 2) (/ v 1.0))

simplify128.0ms

Algorithm

egg-herbie

Counts

364 → 364

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	850	1800
1	4893	1554
2	5001	1554

prune968.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

568.0ms	13804×	body	80	valid
318.0ms	13804×	pre	80	overflowed