Details

sample297.0ms

Algorithm

intervals

Results

23.0ms	435×	body	80	valid
10.0ms	435×	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 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
16.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
10.0ms	(/ (* m (- 1.0 m)) v)
66.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series161.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
38.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify93.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5001	1196

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 175

Calls

4 calls:

12.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
150.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

series341.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
76.0ms	(* m (- (* 1.0 1.0) (* m m)))
126.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
61.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

simplify138.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	820	2304
1	4380	1999
2	5001	1997

prune414.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
11.2b	(/ (pow m 2) v)

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

86×	`prod-diff`
84×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
77×	`times-frac`
73×	`add-cube-cbrt`
30×	`unpow-prod-down` `associate--l+`
15×	`unpow2`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`sqr-pow`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`pow1`
5×	`sub-neg` `distribute-rgt-out--` `fma-neg` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `diff-log` `associate-*r/` `log1p-expm1-u`
3×	`div-exp` `associate-/r*` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

4 → 215

Calls

4 calls:

107.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
14.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
242.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
5.0ms	(/ (pow m 2) v)

series121.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
34.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
36.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
23.0ms	(/ (pow m 2) v)

simplify144.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	1066	2881
1	4479	2019
2	5001	2015

prune496.0ms

Pruning

6 alts after pruning (5 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))) (/ 1 (+ 1.0 m))) v)
0.1b	(* m (- (* 1.0 1.0) (* m m)))
0.1b	(* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m)))
0.1b	(* (- (/ (* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m))) v) 1.0) (- 1.0 m))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

20.0ms	(/ (* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m))) v)
10.0ms	(* m (- (* 1.0 1.0) (* m m)))
26.0ms	(* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m)))
88.0ms	(* (- (/ (* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m))) v) 1.0) (- 1.0 m))

series341.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m))) v)
77.0ms	(* m (- (* 1.0 1.0) (* m m)))
126.0ms	(* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m)))
66.0ms	(* (- (/ (* (* m (- (* 1.0 1.0) (* m m))) (/ 1 (+ 1.0 m))) v) 1.0) (- 1.0 m))

simplify51.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	888	2310
1	5001	1926

prune337.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes50.0ms

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	14	8
1	14	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

678.0ms	13732×	body	80	valid
281.0ms	13732×	pre	80	true