Details

sample300.0ms

Algorithm

intervals

Results

21.0ms	425×	body	80	valid
9.0ms	425×	pre	80	true

simplify89.0ms

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)

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:

12.0ms	(* m (- 1.0 m))
17.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

series162.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
37.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
52.0ms	(/ (* m (- 1.0 m)) v)

simplify95.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (79.0ms)

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

prune273.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))
0.2b	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

rewrite25.0ms

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:

9.0ms	(/ (- 1.0 m) v)
13.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
0.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

series109.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- 1.0 m) v)
44.0ms	(* (fma (/ m 1) (/ (- 1.0 m) v) (- 1.0)) (- 1.0 m))
31.0ms	(fma (/ m 1) (/ (- 1.0 m) v) (- 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (41.0ms)

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

prune211.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (fma m (/ (- 1.0 m) v) (- 1.0))) (* (- m) (fma m (/ (- 1.0 m) v) (- 1.0))))
0.1b	(* (- m) (fma m (/ (- 1.0 m) v) (- 1.0)))
0.2b	(fma m (/ (- 1.0 m) v) (- 1.0))
0.2b	(fma m (/ (- 1.0 m) v) (- 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity` `fma-udef`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `associate-r`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

3.0ms	(+ (* 1.0 (fma m (/ (- 1.0 m) v) (- 1.0))) (* (- m) (fma m (/ (- 1.0 m) v) (- 1.0))))
6.0ms	(* (- m) (fma m (/ (- 1.0 m) v) (- 1.0)))
0.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))
0.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* 1.0 (fma m (/ (- 1.0 m) v) (- 1.0))) (* (- m) (fma m (/ (- 1.0 m) v) (- 1.0))))
46.0ms	(* (- m) (fma m (/ (- 1.0 m) v) (- 1.0)))
29.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))
30.0ms	(fma m (/ (- 1.0 m) v) (- 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	284	708
1	1176	611
2	5001	600

prune212.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 194

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
132.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
12.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* m (- 1.0 m))
48.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
42.0ms	(/ v (* m (- 1.0 m)))
51.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify101.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	716	1895
1	3701	1471
2	5001	1464

prune296.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	12
1	20	12
2	21	12
3	21	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

669.0ms	13837×	body	80	valid
272.0ms	13837×	pre	80	true