Details

sample72.0ms

Algorithm

intervals

Results

46.0ms

469×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma x y (* z t))
0.0b	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
5.2b	(* (- (fma c b a)) (* c i))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

16.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms	(fma x y (* z t))
0.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
8.0ms	(* (- (fma c b a)) (* c i))

series886.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
41.0ms	(fma x y (* z t))
711.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
61.0ms	(* (- (fma c b a)) (* c i))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	284	526
1	1170	437
2	5002	427

prune322.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
5.2b	(* (- (fma c b a)) (* c i))

rewrite27.0ms

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

series865.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
723.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
66.0ms	(* (- (fma c b a)) (* c i))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	270	485
1	1119	401
2	5001	391

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (fma t z (* x y)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
0.4b	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
5.2b	(* (- (fma c b a)) (* c i))

rewrite83.0ms

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 t z (* x y)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
21.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
51.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
8.0ms	(* (- (fma c b a)) (* c i))

series1.6s

Counts

4 → 12

Calls

4 calls:

1.1s	(fma 2.0 (fma t z (* x y)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
174.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
284.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
63.0ms	(* (- (fma c b a)) (* c i))

simplify67.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	390	870
1	1706	708
2	5001	674

prune386.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (cbrt (- (fma c b a))) (* c i))
2.8b	(cbrt (- (fma c b a)))
2.8b	(cbrt (- (fma c b a)))
2.8b	(cbrt (- (fma c b a)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (cbrt (- (fma c b a))) (* c i))
1.0ms	(cbrt (- (fma c b a)))
1.0ms	(cbrt (- (fma c b a)))
1.0ms	(cbrt (- (fma c b a)))

series885.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt (- (fma c b a))) (* c i))
197.0ms	(cbrt (- (fma c b a)))
193.0ms	(cbrt (- (fma c b a)))
191.0ms	(cbrt (- (fma c b a)))

simplify76.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	247	643
1	698	605
2	2503	579
3	5002	579

prune595.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 2.0b

regimes522.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.5s

15152×

body

valid