Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

353×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

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

prune40.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
4.1b	(* x (* y (- 1.0 y)))

rewrite24.0ms

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:

10.0ms	(* y (- 1.0 y))
13.0ms	(* x (* y (- 1.0 y)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* y (- 1.0 y))
42.0ms	(* x (* y (- 1.0 y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

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

prune81.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

4.1b	(* x (* (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y)))))
4.6b	(cbrt (* y (- 1.0 y)))
4.6b	(cbrt (* y (- 1.0 y)))
4.6b	(cbrt (* y (- 1.0 y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

94×	`associate-*r/`
60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 80

Calls

4 calls:

67.0ms	(* x (* (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y)))))
3.0ms	(cbrt (* y (- 1.0 y)))
3.0ms	(cbrt (* y (- 1.0 y)))
3.0ms	(cbrt (* y (- 1.0 y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (* (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y)))))
95.0ms	(cbrt (* y (- 1.0 y)))
94.0ms	(cbrt (* y (- 1.0 y)))
100.0ms	(cbrt (* y (- 1.0 y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	456	1177
1	1288	1075
2	5001	958

prune240.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.1b	(* (* x y) (sqrt (- 1.0 y)))
0.1b	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

4.0ms	(sqrt (- 1.0 y))
4.0ms	(sqrt (- 1.0 y))
13.0ms	(* (* x y) (sqrt (- 1.0 y)))
41.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (- 1.0 y))
30.0ms	(sqrt (- 1.0 y))
97.0ms	(* (* x y) (sqrt (- 1.0 y)))
45.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	398	696
1	1897	593
2	5001	569

prune196.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes66.0ms

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

sample361.0ms

Algorithm

intervals

Results

198.0ms

10827×

body

valid