Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

328×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

12.0ms

(* (* x y) (- 1.0 y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (* x y) (- 1.0 y))

simplify30.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune42.0ms

Filtered

29 candidates to 15 candidates (51.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.5b	(cbrt (* (* x y) (- 1.0 y)))
10.5b	(cbrt (* (* x y) (- 1.0 y)))
10.5b	(cbrt (* (* x y) (- 1.0 y)))

rewrite35.0ms

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:

12.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
131.0ms	(cbrt (* (* x y) (- 1.0 y)))
128.0ms	(cbrt (* (* x y) (- 1.0 y)))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	401	1054
1	1337	968
2	5001	887

prune238.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* x y)))
10.5b	(cbrt (* x y))
10.5b	(cbrt (* (* x y) (- 1.0 y)))
10.5b	(cbrt (* (* x y) (- 1.0 y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `-un-lft-identity` `associate-r/`
5×	`cbrt-prod` `pow1/3`
4×	`associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `associate-*l/`
1×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

8.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* x y)))
1.0ms	(cbrt (* x y))
9.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* x y)))
67.0ms	(cbrt (* x y))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))
129.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	417	739
1	1229	687
2	4493	629
3	5001	629

prune233.0ms

Filtered

66 candidates to 58 candidates (87.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
4.6b	(* x (* y (- 1.0 y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

12.0ms	(* y (- 1.0 y))
13.0ms	(* x (* y (- 1.0 y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* y (- 1.0 y))
43.0ms	(* x (* y (- 1.0 y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	252
1	861	214
2	5002	214

prune68.0ms

Filtered

60 candidates to 30 candidates (50.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b 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	8	3
1	8	3

end0.0ms

sample360.0ms

Algorithm

intervals

Results

200.0ms

10624×

body

valid