Details

sample54.0ms

Algorithm

intervals

Results

26.0ms

491×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	33	9
1	87	9
2	260	8
3	872	8
4	2436	8
5	4957	8
6	5001	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
5.4b	(* (- (fma c b a)) (* c i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft-neg-out` `associate-r` `*-commutative`
1×	`neg-mul-1` `distribute-rgt-neg-out` `fma-udef`

Counts

3 → 62

Calls

3 calls:

17.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
9.0ms	(* (- (fma c b a)) (* c i))

series935.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
782.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
72.0ms	(* (- (fma c b a)) (* c i))

simplify50.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	270	485
1	1123	401
2	5001	391

prune284.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.4b	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
5.4b	(* (- (fma c b a)) (* c i))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`associate-l`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-r` `*-commutative` `distribute-rgt-neg-out`
1×	`neg-mul-1` `fma-udef`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
56.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
20.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
9.0ms	(* (- (fma c b a)) (* c i))

series1.7s

Counts

4 → 12

Calls

4 calls:

1.2s	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
305.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
178.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
70.0ms	(* (- (fma c b a)) (* c i))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	390	870
1	1708	708
2	5001	674

prune432.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
5.4b	(* (- (fma c b a)) (* c i))
5.4b	(* (- (fma c b a)) (* c i))
5.4b	(* (- (fma c b a)) (* c i))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-l`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-out` `cbrt-prod` `neg-mul-1` `associate-r` `*-commutative`
1×	`pow1/3`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
8.0ms	(* (- (fma c b a)) (* c i))
13.0ms	(* (- (fma c b a)) (* c i))
9.0ms	(* (- (fma c b a)) (* c i))

series450.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i)))))
68.0ms	(* (- (fma c b a)) (* c i))
68.0ms	(* (- (fma c b a)) (* c i))
62.0ms	(* (- (fma c b a)) (* c i))

simplify138.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	253	694
1	874	612
2	4347	590
3	5003	588

prune774.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (- (fma c b a)) (* c i))
5.4b	(* (- (fma c b a)) (* c i))
5.4b	(* (- (fma c b a)) (* c i))
5.4b	(* (- (fma c b a)) (* c i))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-l`
24×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-out` `expm1-log1p-u` `neg-mul-1` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (- (fma c b a)) (* c i))
8.0ms	(* (- (fma c b a)) (* c i))
9.0ms	(* (- (fma c b a)) (* c i))
9.0ms	(* (- (fma c b a)) (* c i))

series274.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (fma c b a)) (* c i))
71.0ms	(* (- (fma c b a)) (* c i))
63.0ms	(* (- (fma c b a)) (* c i))
71.0ms	(* (- (fma c b a)) (* c i))

simplify124.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	152	648
1	608	564
2	3429	540
3	5001	540

prune643.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.5b

regimes571.0ms

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	31	8
2	41	8
3	41	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

730.0ms

15220×

body

valid