Details

sample58.0ms

Algorithm

intervals

Results

28.0ms

515×

body

valid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune13.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
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))))
5.0b	(* (- (fma c b a)) (* c i))

rewrite33.0ms

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:

0.0ms	(fma x y (* z t))
21.0ms	(* 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))

series1.0s

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma x y (* z t))
80.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
808.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
72.0ms	(* (- (fma c b a)) (* c i))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (48.0ms)

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

prune355.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
0.0b	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
5.0b	(* (- (fma c b a)) (* c i))

rewrite30.0ms

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:

0.0ms	(fma t z (* x y))
0.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
18.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
10.0ms	(* (- (fma c b a)) (* c i))

series1.1s

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma t z (* x y))
837.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
82.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
80.0ms	(* (- (fma c b a)) (* c i))

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	282	526
1	1164	437
2	5001	427

prune356.0ms

Filtered

84 candidates to 59 candidates (70.2%)

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 t z (* x y)) (* (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)))
5.0b	(* (- (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 t z (* x y)) (* (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))))
19.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
9.0ms	(* (- (fma c b a)) (* c i))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.2s	(fma 2.0 (fma t z (* x y)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
338.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
208.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
66.0ms	(* (- (fma c b a)) (* c i))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (56.0ms)

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

prune439.0ms

Filtered

107 candidates to 67 candidates (62.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
5.0b	(* (- (fma c b a)) (* c i))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1` `add-exp-log` `add-cbrt-cube`
34×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-neg-out`
4×	`distribute-lft-neg-out` `expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`neg-mul-1`

Counts

4 → 124

Calls

4 calls:

163.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
56.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
23.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
9.0ms	(* (- (fma c b a)) (* c i))

series1.2s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
553.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
210.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
75.0ms	(* (- (fma c b a)) (* c i))

simplify94.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	459	1297
1	2197	1030
2	5003	975

prune538.0ms

Filtered

136 candidates to 84 candidates (61.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

regimes644.0ms

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	38	9
2	56	9
3	67	9
4	69	9
5	69	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

728.0ms

15136×

body

valid