Details

sample279.0ms

Algorithm

intervals

Results

10.0ms	417×	body	80	valid
6.0ms	417×	pre	80	true

simplify87.0ms

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)) v) 1.0)
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))

rewrite117.0ms

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:

17.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
13.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series154.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
46.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify92.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2840	1209
2	5002	1196

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

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:

11.0ms	(* m (- (* 1.0 1.0) (* m m)))
13.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
12.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
152.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

series322.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* m (- (* 1.0 1.0) (* m m)))
68.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
120.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
62.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- 1.0 m))

simplify149.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (122.0ms)

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

prune397.0ms

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

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

13.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
12.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
12.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
147.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- m))

series376.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v)
120.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
116.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m))
65.0ms	(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (+ 1.0 m)) v) 1.0) (- m))

simplify89.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	639	1650
1	3296	1442
2	5003	1438

prune463.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)
98.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
131.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
141.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify67.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune487.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes72.0ms

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

sample705.0ms

Algorithm

intervals

Results

317.0ms	13705×	body	80	valid
172.0ms	13705×	pre	80	true