Details

sample28.0ms

Algorithm

intervals

Results

20.0ms

298×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	20	5
1	48	5
2	105	5
3	224	5
4	418	4
5	681	4
6	970	4
7	1398	4
8	1987	4
9	1991	4
10	1991	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

56×	`prod-diff`
46×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`associate--l+`
42×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-+l+`
10×	`add-log-exp`
8×	`sub-neg`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
3×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
2×	`flip3--` `diff-log` `associate-*r/` `sum-log` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 128

Calls

3 calls:

31.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
11.0ms	(* x (- y 1.0))
9.0ms	(- (* x (- y 1.0)) (* y 0.5))

series84.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
30.0ms	(* x (- y 1.0))
25.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify43.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	402	982
1	1366	690
2	5001	660

prune305.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (- y 1.0) (- (* 0.5 y)))
0.0b	(+ (fma x (- y 1.0) (- (* 0.5 y))) (fma 0.5 (+ (- y) y) 0.918938533204673))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `fma-udef`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 29

Calls

2 calls:

0.0ms	(fma x (- y 1.0) (- (* 0.5 y)))
3.0ms	(+ (fma x (- y 1.0) (- (* 0.5 y))) (fma 0.5 (+ (- y) y) 0.918938533204673))

series52.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma x (- y 1.0) (- (* 0.5 y)))
29.0ms	(+ (fma x (- y 1.0) (- (* 0.5 y))) (fma 0.5 (+ (- y) y) 0.918938533204673))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	121	273
1	354	253
2	2340	249
3	5001	230

prune97.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	21	8
2	21	8

end0.0ms

sample694.0ms

Algorithm

intervals

Results

537.0ms	9169×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid