Details

sample311.0ms

Algorithm

intervals

Results

22.0ms	422×	body	80	valid
9.0ms	422×	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)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)

rewrite109.0ms

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))
15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)

series157.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)

simplify95.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5001	1196

prune262.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 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) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite186.0ms

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:

11.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
90.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
137.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
138.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify65.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1234	4829
1	5001	3996

prune490.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 201

Calls

4 calls:

10.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (+ (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt 1.0)) (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))

series500.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(/ (* m (- 1.0 m)) v)
344.0ms	(* (+ (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt 1.0)) (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))

simplify65.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1200	5529
1	5002	3967

prune483.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.1b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

8.0ms	(/ (- 1.0 m) v)
11.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series106.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (- 1.0 m) v)
45.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
30.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	378	1039
1	1530	824
2	5003	822

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	19	17
1	19	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

673.0ms	13675×	body	80	valid
269.0ms	13675×	pre	80	true