Details

sample330.0ms

Algorithm

intervals

Results

10.0ms	428×	body	80	valid
6.0ms	428×	pre	80	true

simplify77.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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

rewrite150.0ms

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:

19.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(* m (- 1.0 m))
85.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
20.0ms	(/ (* m (- 1.0 m)) v)

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
41.0ms	(* m (- 1.0 m))
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)

simplify60.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (48.0ms)

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

prune199.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))
0.1b	(/ m (/ v (- 1.0 m)))

rewrite403.0ms

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:

11.0ms	(/ v (- 1.0 m))
88.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
278.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
16.0ms	(/ m (/ v (- 1.0 m)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ v (- 1.0 m))
23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
31.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
33.0ms	(/ m (/ v (- 1.0 m)))

simplify88.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (71.0ms)

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

prune423.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
15×	`associate-r`
14×	`add-cube-cbrt`
8×	`pow1` `associate-l`
6×	`times-frac` `associate-r/` `associate-/r`
4×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 102

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
16.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series144.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(/ (* m (- 1.0 m)) v)
33.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify53.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	359	602
1	1758	542
2	5001	530

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
8.9b	(/ (pow m 3) v)
13.8b	(/ (pow m 2) v)

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `add-log-exp`
8×	`div-exp` `sqr-pow`
4×	`pow1` `cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `unpow2`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`pow-to-exp` `flip3--` `diff-log` `pow-exp` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `flip3-+` `prod-exp` `associate--l+` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 153

Calls

4 calls:

15.0ms	(/ (* m (- 1.0 m)) v)
170.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
9.0ms	(/ (pow m 3) v)
9.0ms	(/ (pow m 2) v)

series103.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
30.0ms	(- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v)))
20.0ms	(/ (pow m 3) v)
17.0ms	(/ (pow m 2) v)

simplify101.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	573	913
1	2983	834
2	5001	807

prune383.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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	9	6
1	9	6

end0.0ms

sample751.0ms

Algorithm

intervals

Results

305.0ms	13725×	body	80	valid
157.0ms	13725×	pre	80	true