Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	350×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
0.0b	(fma t x (* y 5.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
1.0ms	(fma t x (* y 5.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
30.0ms	(fma t x (* y 5.0))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.0b	(fma 5.0 y (* t x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

1.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
1.0ms	(fma 5.0 y (* t x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
34.0ms	(fma 5.0 y (* t x))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
11.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms	(+ (+ (+ y z) z) y)
26.0ms	(+ (+ y z) z)
55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	503
1	1821	449
2	5001	430

prune235.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

4.8b	(fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t)))))
4.9b	(+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3))
10.2b	(* (* x x) (+ (fma 2 z (* 2 y)) t))
40.9b	(/ (+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3)) (fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`fma-def`
6×	`distribute-lft-out` `add-log-exp`
5×	`sum-cubes` `associate-/l*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`associate-*r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `unpow3` `cube-prod` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `fma-udef` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

1.0ms	(fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t)))))
17.0ms	(+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3))
8.0ms	(* (* x x) (+ (fma 2 z (* 2 y)) t))
19.0ms	(/ (+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3)) (fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t))))))

series2.4s

Counts

4 → 12

Calls

4 calls:

245.0ms	(fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t)))))
1.0s	(+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3))
49.0ms	(* (* x x) (+ (fma 2 z (* 2 y)) t))
1.1s	(/ (+ (pow (* x (+ (+ (+ (+ y z) z) y) t)) 3) (pow (* y 5.0) 3)) (fma (* (* x x) (+ (fma 2 z (* 2 y)) t)) (fma 2 (+ y z) t) (* (* y 5.0) (- (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t))))))

simplify91.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	543	2376
1	2712	2146
2	5003	2100

prune678.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample609.0ms

Algorithm

intervals

Results

318.0ms	10634×	body	80	valid
13.0ms	115×	body	640	valid
12.0ms	87×	body	1280	valid
5.0ms	58×	body	320	valid
2.0ms	38×	body	160	valid