Details

sample279.0ms

Algorithm

intervals

Results

11.0ms	422×	body	80	valid
7.0ms	422×	pre	80	true

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

6.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
17.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series144.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (51.0ms)

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

prune172.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
17.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series143.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* 1.0 m) (* (- m) m))
49.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	891
1	1954	796
2	5001	782

prune207.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

7.0ms	(/ (* m (- 1.0 m)) v)
7.0ms	(/ (* m (- 1.0 m)) v)
13.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
39.0ms	(/ (* m (- 1.0 m)) v)
39.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
39.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	506	961
1	2456	840
2	5003	827

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
21×	`flip3--` `flip--`
16×	`add-cube-cbrt` `associate-*l/`
14×	`flip3-+` `associate-r` `flip-+`
13×	`add-exp-log` `times-frac` `add-cbrt-cube`
11×	`pow1`
10×	`associate-*r/`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp` `difference-of-squares`
5×	`distribute-rgt-out`
4×	`distribute-lft-neg-out` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*` `distribute-lft-out--`
2×	`sub-neg` `div-sub` `unsub-neg` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

4.0ms	(+ (* 1.0 m) (* (- m) m))
6.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
29.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
19.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1.0 m) (* (- m) m))
48.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
138.0ms	(* (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
141.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify44.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	862	2227
1	5002	1956

prune423.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	21	12
2	22	12
3	22	12

end0.0ms

sample755.0ms

Algorithm

intervals

Results

334.0ms	13708×	body	80	valid
187.0ms	13708×	pre	80	true