Details

sample297.0ms

Algorithm

intervals

Results

11.0ms	455×	body	80	valid
7.0ms	455×	pre	80	true

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* m (- 1.0 m))
8.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
15.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (* m (- 1.0 m)) v)

series157.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)

simplify59.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	400	725
1	1959	665
2	5002	653

prune200.0ms

Filtered

109 candidates to 72 candidates (66.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
128×	`add-sqr-sqrt`
112×	`*-un-lft-identity`
74×	`add-cube-cbrt`
26×	`associate-/r*`
23×	`difference-of-squares`
19×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
11×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`sub-neg`
2×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 191

Calls

4 calls:

5.0ms	(/ v (- 1.0 m))
25.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ v (- 1.0 m))
26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))

simplify90.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	699	1623
1	3448	1558
2	5001	1557

prune431.0ms

Filtered

203 candidates to 152 candidates (74.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt 1.0) (sqrt 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`
29×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r` `sqrt-prod`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`add-cube-cbrt` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`pow-prod-down`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

6.0ms	(- (sqrt 1.0) (sqrt m))
7.0ms	(/ (* m (- 1.0 m)) v)
25.0ms	(* (* (- (/ (* 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)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (sqrt 1.0) (sqrt m))
36.0ms	(/ (* m (- 1.0 m)) v)
135.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
139.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify39.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	850	1796
1	5002	1577

prune370.0ms

Filtered

139 candidates to 101 candidates (72.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt v) (cbrt v))
0.6b	(cbrt v)
0.6b	(cbrt v)
0.6b	(cbrt v)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt v) (cbrt v))
1.0ms	(cbrt v)
1.0ms	(cbrt v)
1.0ms	(cbrt v)

series710.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt v) (cbrt v))
174.0ms	(cbrt v)
171.0ms	(cbrt v)
174.0ms	(cbrt v)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune193.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes59.0ms

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

sample725.0ms

Algorithm

intervals

Results

318.0ms	13855×	body	80	valid
184.0ms	13855×	pre	80	true