Details

sample278.0ms

Algorithm

intervals

Results

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

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	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))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

22.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
108.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series122.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
45.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	500	1273
1	2527	968
2	5001	962

prune202.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
74×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`prod-diff`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`flip3--` `flip--`
9×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
7×	`associate-l`
5×	`associate-r` `div-inv`
4×	`pow1` `frac-times`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 160

Calls

2 calls:

17.0ms	(/ m (/ v (- 1.0 m)))
284.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series68.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify101.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	714	1669
1	3707	1487
2	5001	1486

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
22×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-l`
10×	`times-frac` `associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `frac-times`
4×	`sub-neg` `associate-*r/`
3×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `div-exp` `div-inv`

Counts

2 → 114

Calls

2 calls:

31.0ms	(* (/ m v) (- 1.0 m))
75.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series63.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (/ m v) (- 1.0 m))
31.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify75.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	564	1284
1	2610	1000
2	5002	988

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
27×	`add-cube-cbrt`
20×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l`
14×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
10×	`flip3--` `flip--`
9×	`associate-r`
8×	`frac-times`
7×	`pow1`
6×	`associate-*r/`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
4×	`sub-neg` `associate-l/` `associate-/r`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l*`

Counts

3 → 133

Calls

3 calls:

37.0ms	(* (/ m v) (- (* 1.0 1.0) (* m m)))
187.0ms	(* (- (/ (* (/ m v) (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) 1.0) (- 1.0 m))
34.0ms	(/ (* (/ m v) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series163.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (/ m v) (- (* 1.0 1.0) (* m m)))
52.0ms	(* (- (/ (* (/ m v) (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) 1.0) (- 1.0 m))
65.0ms	(/ (* (/ m v) (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify112.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	727	1839
1	3939	1578
2	5001	1574

prune282.0ms

Pruning

5 alts after pruning (3 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	16	10
1	16	10

end0.0ms

sample785.0ms

Algorithm

intervals

Results

314.0ms	13733×	body	80	valid
174.0ms	13733×	pre	80	true