Details

sample276.0ms

Algorithm

intervals

Results

11.0ms	450×	body	80	valid
7.0ms	450×	pre	80	true

simplify88.0ms

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 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 79

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
55.0ms	(/ (* m (- 1.0 m)) v)

simplify68.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	438	915
1	2203	748
2	5001	742

prune151.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
130×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
85×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`prod-diff` `distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 199

Calls

3 calls:

6.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series114.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
41.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify116.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	774	1889
1	4024	1694
2	5001	1693

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

5.0ms	(/ v (- (* 1.0 1.0) (* m m)))
12.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
24.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
12.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series268.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ v (- (* 1.0 1.0) (* m m)))
74.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
60.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
69.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify136.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	901	2136
1	4936	1859
2	5001	1859

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `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` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

14.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
12.0ms	(/ (* m (- 1.0 m)) v)
8.0ms	(/ (* m (- 1.0 m)) v)
14.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series153.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
36.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify77.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

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

sample750.0ms

Algorithm

intervals

Results

338.0ms	13696×	body	80	valid
189.0ms	13696×	pre	80	true