Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

343×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	48	82
1	116	70
2	339	70
3	1498	67
4	5001	64

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 4.0 y) (- x z) 2.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ 4.0 y) (- x z) 2.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ 4.0 y) (- x z) 2.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	43	69
1	104	59
2	282	53
3	1332	53
4	5003	53

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.3b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

8.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
21.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
37.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	349
1	1079	306
2	5002	297

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x (* y 0.25)) (+ x (* y 0.25)))
3.0b	(fma y (fma 0.25 y x) (* y z))
7.1b	(- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))
36.5b	(/ (* 4.0 (- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))) (fma y (fma 0.25 y x) (* y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u`
3×	`times-frac` `swap-sqr` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `flip3--` `distribute-lft-in` `div-exp` `associate-*l/` `prod-exp` `associate--l+` `flip--` `cbrt-unprod` `associate-/l/`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `fma-udef` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

11.0ms	(* (+ x (* y 0.25)) (+ x (* y 0.25)))
0.0ms	(fma y (fma 0.25 y x) (* y z))
7.0ms	(- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))
17.0ms	(/ (* 4.0 (- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))) (fma y (fma 0.25 y x) (* y z)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (+ x (* y 0.25)) (+ x (* y 0.25)))
31.0ms	(fma y (fma 0.25 y x) (* y z))
68.0ms	(- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))
78.0ms	(/ (* 4.0 (- (* (+ x (* y 0.25)) (+ x (* y 0.25))) (* z z))) (fma y (fma 0.25 y x) (* y z)))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	483	989
1	2410	791
2	5003	762

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample700.0ms

Algorithm

intervals

Results

492.0ms

10121×

body

valid