Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

499×

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

prune17.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 4 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))))
0.0b	(fma x y (* z t))
5.7b	(* (- (fma c b a)) (* c i))

rewrite28.0ms

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:

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

series975.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* 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))))
42.0ms	(fma x y (* z t))
71.0ms	(* (- (fma c b a)) (* c i))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

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

prune343.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
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))))
5.7b	(* (- (fma c b a)) (* c i))

rewrite28.0ms

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

series983.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma t z (* x y))
81.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
787.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
70.0ms	(* (- (fma c b a)) (* c i))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

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

prune579.0ms

Filtered

84 candidates to 59 candidates (70.2%)

Pruning

7 alts after pruning (6 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)))))
0.3b	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
5.7b	(* (- (fma c b a)) (* c i))

rewrite86.0ms

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)))))
54.0ms	(* (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)))))
297.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
179.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
70.0ms	(* (- (fma c b a)) (* c i))

simplify74.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (64.0ms)

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

prune417.0ms

Filtered

107 candidates to 68 candidates (63.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (- (fma c b a)) (* c i))
10.5b	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
10.5b	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
10.5b	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (- (fma c b a)) (* c i))
46.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
49.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
46.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- (fma c b a)) (* c i))
676.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
685.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
655.0ms	(cbrt (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	272	690
1	957	612
2	5001	585

prune473.0ms

Filtered

73 candidates to 63 candidates (86.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.5b

regimes515.0ms

Accuracy

0% (1.0b remaining)

Error of 1.7b against oracle of 0.7b and baseline of 1.7b

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

713.0ms

15143×

body

valid