Details

sample302.0ms

Algorithm

intervals

Results

28.0ms	453×	body	80	valid
11.0ms	453×	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)) v) 1.0)
0.0b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

15.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
61.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)

series109.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)

simplify89.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	521	1362
1	2567	1025
2	5001	1012

prune201.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

576×	`times-frac`
476×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
350×	`add-cube-cbrt`
222×	`prod-diff`
68×	`fma-neg`
59×	`difference-of-squares`
55×	`distribute-lft-out--`
39×	`associate-/r/`
26×	`associate-/r*`
24×	`flip3--` `flip--`
22×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-l`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 489

Calls

4 calls:

84.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
5.0ms	(/ v (- 1.0 m))
201.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
36.0ms	(/ v (- 1.0 m))
34.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
43.0ms	(/ m (/ v (- 1.0 m)))

simplify83.0ms

Algorithm

egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1224	6304
1	5001	4818

prune816.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
82×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
78×	`add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
18×	`prod-diff`
17×	`difference-of-squares`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
8×	`div-exp`
7×	`pow1`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num`
1×	`pow-flip` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `inv-pow` `unswap-sqr`

Counts

4 → 189

Calls

4 calls:

8.0ms	(/ v (- (* 1.0 1.0) (* m m)))
11.0ms	(* (fma (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)) (- 1.0)) (- 1.0 m))
9.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
0.0ms	(fma (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)) (- 1.0))

series271.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ v (- (* 1.0 1.0) (* m m)))
84.0ms	(* (fma (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)) (- 1.0)) (- 1.0 m))
55.0ms	(/ 1 (/ v (- (* 1.0 1.0) (* m m))))
66.0ms	(fma (/ 1 (/ v (- (* 1.0 1.0) (* m m)))) (/ m (+ 1.0 m)) (- 1.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	724	2492
1	3530	2174
2	5003	2075

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)) (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)))
0.3b	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
0.3b	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
0.3b	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
57×	`cbrt-prod`
35×	`*-un-lft-identity`
21×	`times-frac` `difference-of-squares`
18×	`cbrt-div`
15×	`add-cube-cbrt`
12×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 121

Calls

4 calls:

275.0ms	(* (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)) (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)))
34.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
36.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
33.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))

series819.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)) (cbrt (- (/ m (/ v (- 1.0 m))) 1.0)))
203.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
203.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))
211.0ms	(cbrt (- (/ m (/ v (- 1.0 m))) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	350	1869
1	1065	1790
2	5001	1686

prune355.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b 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	9	6
1	9	6

end0.0ms

sample1.3s

Algorithm

intervals

Results

805.0ms	13753×	body	80	valid
290.0ms	13753×	pre	80	true