Details

sample340.0ms

Algorithm

intervals

Results

12.0ms	468×	body	80	valid
7.0ms	468×	pre	80	true

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

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite163.0ms

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:

28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
24.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
84.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series164.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify75.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (63.0ms)

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

prune220.0ms

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)
0.0b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite444.0ms

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:

118.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
16.0ms	(/ m (/ v (- 1.0 m)))
276.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series103.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
42.0ms	(/ m (/ v (- 1.0 m)))
36.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify139.0ms

Algorithm

egg-herbie

Counts

429 → 429

Iterations

Useful iterations: 2 (95.0ms)

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

prune692.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (/ 1 v) m) (- 1.0 m)) 1.0)
0.1b	(* (* (/ 1 v) m) (- 1.0 m))
0.2b	(* (+ (- (* (* (/ 1 v) m) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
0.3b	(* (/ 1 v) m)

rewrite718.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`add-cube-cbrt`
39×	`prod-diff`
30×	`add-exp-log`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
20×	`add-cbrt-cube`
18×	`associate-l`
14×	`prod-exp`
13×	`pow1`
11×	`times-frac` `associate-r`
8×	`cbrt-unprod`
7×	`associate-*l/`
6×	`add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `unswap-sqr`
3×	`flip3--` `*-commutative` `flip--`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*r/`
1×	`flip3-+` `fma-neg` `diff-log` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 153

Calls

4 calls:

46.0ms	(- (* (* (/ 1 v) m) (- 1.0 m)) 1.0)
46.0ms	(* (* (/ 1 v) m) (- 1.0 m))
605.0ms	(* (+ (- (* (* (/ 1 v) m) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
15.0ms	(* (/ 1 v) m)

series164.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* (* (/ 1 v) m) (- 1.0 m)) 1.0)
46.0ms	(* (* (/ 1 v) m) (- 1.0 m))
75.0ms	(* (+ (- (* (* (/ 1 v) m) (- 1.0 m)) 1.0) (fma (- 1.0) 1 1.0)) m)
10.0ms	(* (/ 1 v) m)

simplify90.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	670	1285
1	3221	888
2	5003	872

prune351.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0)) m)
0.2b	(fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0))
0.3b	(/ (sqrt m) (/ v (- 1.0 m)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
156×	`add-sqr-sqrt`
154×	`*-un-lft-identity`
112×	`add-cube-cbrt`
66×	`sqrt-prod`
21×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`pow1`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 200

Calls

3 calls:

6.0ms	(* (fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0)) m)
0.0ms	(fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0))
19.0ms	(/ (sqrt m) (/ v (- 1.0 m)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(* (fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0)) m)
64.0ms	(fma (/ (sqrt m) 1) (/ (sqrt m) (/ v (- 1.0 m))) (- 1.0))
78.0ms	(/ (sqrt m) (/ v (- 1.0 m)))

simplify90.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	739	2236
1	3406	2083
2	5001	2058

prune444.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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

sample762.0ms

Algorithm

intervals

Results

305.0ms	13650×	body	80	valid
163.0ms	13650×	pre	80	true