Details

sample276.0ms

Algorithm

intervals

Results

11.0ms	435×	body	80	valid
7.0ms	435×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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)
0.2b	(* (- (/ (* 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))
10.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
48.0ms	(* m (- 1.0 m))
37.0ms	(/ (* 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 (65.0ms)

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

prune235.0ms

Filtered

151 candidates to 83 candidates (55.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
63×	`add-cube-cbrt`
62×	`times-frac`
48×	`prod-diff`
17×	`distribute-rgt-out`
16×	`fma-neg`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-lft-neg-out` `associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
3×	`associate-r` `unsub-neg` `associate-/r*`
2×	`associate--l-` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

3.0ms	(+ (* 1.0 m) (* (- m) m))
32.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
9.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
78.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

series165.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* 1.0 m) (* (- m) m))
25.0ms	(- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0)
45.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
38.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) m)

simplify74.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	501	1931
1	1951	1445
2	5001	1377

prune322.0ms

Filtered

174 candidates to 111 candidates (63.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
0.0b	(/ (/ v m) (- 1.0 m))
0.2b	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
0.2b	(/ 1 (/ (/ v m) (- 1.0 m)))

rewrite960.0ms

Algorithm

rewrite-expression-head

Rules

2968×	`times-frac`
1916×	`add-sqr-sqrt`
1880×	`*-un-lft-identity`
1424×	`add-cube-cbrt`
654×	`prod-diff`
236×	`difference-of-squares`
226×	`distribute-lft-out--`
218×	`fma-neg`
110×	`div-inv`
76×	`associate-/r*`
39×	`associate-/r/`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`flip3--` `flip--`
18×	`div-exp`
16×	`associate-/l*`
12×	`associate-l`
9×	`cbrt-undiv`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `1-exp` `associate-r`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow` `unswap-sqr`

Counts

4 → 1342

Calls

4 calls:

237.0ms	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
9.0ms	(/ (/ v m) (- 1.0 m))
541.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
25.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0)
42.0ms	(/ (/ v m) (- 1.0 m))
47.0ms	(* (- (/ 1 (/ (/ v m) (- 1.0 m))) 1.0) m)
53.0ms	(/ 1 (/ (/ v m) (- 1.0 m)))

simplify220.0ms

Algorithm

egg-herbie

Counts

1354 → 1354

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2834	21096
1	5001	15725

prune1.6s

Filtered

1354 candidates to 470 candidates (34.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`distribute-lft-neg-out`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (* 1.0 m) (* (- m) m))
3.0ms	(* (fma (+ (* 1.0 m) (* (- m) m)) (/ 1 v) (- 1.0)) m)
0.0ms	(fma (+ (* 1.0 m) (* (- m) m)) (/ 1 v) (- 1.0))

series146.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* 1.0 m) (* (- m) m))
48.0ms	(* (fma (+ (* 1.0 m) (* (- m) m)) (/ 1 v) (- 1.0)) m)
40.0ms	(fma (+ (* 1.0 m) (* (- m) m)) (/ 1 v) (- 1.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	214	465
1	814	387
2	5002	369

prune125.0ms

Filtered

56 candidates to 44 candidates (78.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample744.0ms

Algorithm

intervals

Results

320.0ms	13835×	body	80	valid
189.0ms	13835×	pre	80	true