Details

sample278.0ms

Algorithm

intervals

Results

11.0ms	422×	body	80	valid
6.0ms	422×	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

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))

rewrite75.0ms

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:

10.0ms	(* m (- 1.0 m))
7.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (49.0ms)

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

prune189.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

10.0ms	(* v (+ 1.0 m))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
67.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
11.0ms	(* m (- (* 1.0 1.0) (* m m)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* v (+ 1.0 m))
74.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
65.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
71.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify100.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	574	1110
1	3497	973
2	5001	973

prune267.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `associate-r`
8×	`associate-l`
7×	`pow1` `flip3--` `flip--`
6×	`associate-*r/`
4×	`frac-times` `times-frac` `associate-/l*`
3×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `distribute-rgt-out--` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

3 → 85

Calls

3 calls:

11.0ms	(* v (+ 1.0 m))
16.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))
157.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series163.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* v (+ 1.0 m))
69.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))
58.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify66.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	481	881
1	2421	807
2	5001	807

prune239.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

12.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
11.0ms	(* m (- (* 1.0 1.0) (* m m)))
105.0ms	(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
78.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
68.0ms	(* m (- (* 1.0 1.0) (* m m)))
162.0ms	(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
176.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify51.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	997	2550
1	5001	2264

prune473.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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	17	9
1	17	9

end0.0ms

sample720.0ms

Algorithm

intervals

Results

338.0ms	13672×	body	80	valid
172.0ms	13672×	pre	80	true