Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	332×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify53.0ms

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: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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)) (* y 5.0))
16.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)

series153.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

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

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
8.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)

series108.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	219	266
1	795	225
2	3944	215
3	5001	211

prune154.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
2.0b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

8.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
11.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
14.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
144.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
139.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
144.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	281	1105
1	1047	1012
2	5001	937

prune320.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample631.0ms

Algorithm

intervals

Results

332.0ms	10640×	body	80	valid
13.0ms	92×	body	1280	valid
10.0ms	90×	body	640	valid
4.0ms	49×	body	320	valid
2.0ms	42×	body	160	valid