Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	348×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite919.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
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 → 71

Calls

4 calls:

226.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
58.0ms	(+ (+ (+ y z) z) y)
620.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
40.0ms	(+ (+ (+ y z) z) y)
44.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ y z) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5003	419

prune209.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite867.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

171.0ms	(+ (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t)))
61.0ms	(+ (+ (+ y z) z) y)
619.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms	(+ (+ y z) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* y 5.0) (* x (+ (+ (+ (+ y z) z) y) t)))
35.0ms	(+ (+ (+ y z) z) y)
49.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ y z) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	374	482
1	1655	437
2	5002	420

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 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)

rewrite908.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

222.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
628.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
57.0ms	(+ (+ y (+ z z)) y)

series150.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
49.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
36.0ms	(+ (+ y (+ z z)) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5002	385

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ y (+ z z)) y) t))) (cbrt (* x (+ (+ (+ y (+ z z)) y) t))))
1.2b	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
1.2b	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
1.2b	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))

rewrite432.0ms

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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

14.0ms	(* (cbrt (* x (+ (+ (+ y (+ z z)) y) t))) (cbrt (* x (+ (+ (+ y (+ z z)) y) t))))
138.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
138.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
139.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (* x (+ (+ (+ y (+ z z)) y) t))) (cbrt (* x (+ (+ (+ y (+ z z)) y) t))))
174.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
168.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))
178.0ms	(cbrt (* x (+ (+ (+ y (+ z z)) y) t)))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	271	1036
1	971	942
2	4740	873
3	5001	854

prune307.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

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	19	7
1	19	7

end0.0ms

sample642.0ms

Algorithm

intervals

Results

337.0ms	10696×	body	80	valid
12.0ms	88×	body	1280	valid
10.0ms	86×	body	640	valid
5.0ms	58×	body	320	valid
2.0ms	32×	body	160	valid