Details

sample331.0ms

Algorithm

intervals

Results

10.0ms	408×	body	80	valid
6.0ms	408×	pre	80	true

simplify80.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

20.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series135.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545

prune169.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
0.1b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))

rewrite504.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
33×	`associate-r`
24×	`*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
18×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`associate-l`
10×	`pow1` `add-cube-cbrt`
8×	`flip3--` `flip--` `sqr-pow`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
6×	`associate-r/` `associate-l/`
4×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `div-exp` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`difference-cubes` `frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 125

Calls

4 calls:

46.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
40.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
73.0ms	(* m (- (pow 1.0 3) (pow m 3)))
338.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))

series328.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
35.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
95.0ms	(* m (- (pow 1.0 3) (pow m 3)))
95.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- 1.0 m))

simplify120.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	702	1555
1	3963	1374
2	5002	1374

prune358.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.1b	(* m (- (pow 1.0 3) (pow m 3)))
0.2b	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- m))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
63×	`associate-r`
36×	`*-un-lft-identity`
33×	`difference-of-squares`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
14×	`add-cube-cbrt` `associate-l`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--`
2×	`difference-cubes`
1×	`neg-mul-1` `flip3-+` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 142

Calls

4 calls:

39.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
74.0ms	(* m (- (pow 1.0 3) (pow m 3)))
74.0ms	(* m (- (pow 1.0 3) (pow m 3)))
330.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- m))

series325.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
95.0ms	(* m (- (pow 1.0 3) (pow m 3)))
98.0ms	(* m (- (pow 1.0 3) (pow m 3)))
96.0ms	(* (- (/ (* m (- (pow 1.0 3) (pow m 3))) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)) 1.0) (- m))

simplify83.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	531	1179
1	2690	1062
2	5001	1062

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
15.9b	(/ (pow m 2) v)

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`flip3--` `add-cbrt-cube` `flip--`
5×	`pow1` `associate-r` `associate-l` `unpow2` `add-log-exp`
4×	`frac-times` `associate-*r/` `sqr-pow`
3×	`sub-neg` `div-exp` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

16.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
363.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
8.0ms	(/ (pow m 2) v)

series91.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
36.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
19.0ms	(/ (pow m 2) v)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	435	862
1	1901	787
2	5003	784

prune214.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	26
1	33	26
2	34	26
3	34	26

end0.0ms

sample769.0ms

Algorithm

intervals

Results

304.0ms	13558×	body	80	valid
161.0ms	13558×	pre	80	true