Details

sample278.0ms

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 (2.0ms)

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))

rewrite40.0ms

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:

7.0ms	(* m (- 1.0 m))
8.0ms	(/ (* m (- 1.0 m)) v)
18.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series141.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify75.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (63.0ms)

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

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
22×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
20×	`prod-diff`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
11×	`associate-l`
10×	`pow1` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `div-exp` `log1p-expm1-u` `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 → 135

Calls

4 calls:

6.0ms	(* v (+ 1.0 m))
6.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
22.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series238.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* v (+ 1.0 m))
70.0ms	(* m (- (* 1.0 1.0) (* m m)))
70.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
64.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify121.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	675	1714
1	4069	1445
2	5001	1444

prune296.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

7.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
16.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

series274.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- (* 1.0 1.0) (* m m)))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
60.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

simplify85.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	517	1182
1	3150	986
2	5003	983

prune336.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
8.6b	(/ (pow m 3) v)
14.1b	(/ (pow m 2) v)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

61×	`times-frac`
50×	`add-sqr-sqrt`
48×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down`
22×	`add-cbrt-cube`
21×	`associate-/l*`
12×	`cube-prod`
10×	`div-exp`
8×	`sqr-pow`
7×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `associate-*r/`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cube-mult` `unpow3` `associate-r` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-l` `clear-num` `div-inv`
2×	`pow-to-exp` `sub-neg` `flip3--` `prod-diff` `pow-exp` `associate-/r/` `flip--` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

7.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
6.0ms	(/ (pow m 3) v)
5.0ms	(/ (pow m 2) v)

series189.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* m (- (* 1.0 1.0) (* m m)))
72.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
21.0ms	(/ (pow m 3) v)
22.0ms	(/ (pow m 2) v)

simplify158.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	640	1021
1	4300	876
2	5001	874

prune546.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes48.0ms

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	28	17
1	28	17

end0.0ms

sample744.0ms

Algorithm

intervals

Results

333.0ms	13811×	body	80	valid
181.0ms	13811×	pre	80	true