Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

323×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:

27.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (* 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

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

20.0ms	(* y (- 1.0 y))
28.0ms	(* x (* y (- 1.0 y)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* y (- 1.0 y))
47.0ms	(* x (* y (- 1.0 y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (6.0ms)

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

prune67.0ms

Pruning

5 alts after pruning (3 fresh and 2 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))) (sqrt (- 1.0 y)))
0.1b	(* (* x y) (sqrt (- 1.0 y)))

rewrite144.0ms

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:

7.0ms	(sqrt (- 1.0 y))
7.0ms	(sqrt (- 1.0 y))
97.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
30.0ms	(* (* x y) (sqrt (- 1.0 y)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (- 1.0 y))
31.0ms	(sqrt (- 1.0 y))
47.0ms	(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
98.0ms	(* (* x y) (sqrt (- 1.0 y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	398	694
1	1909	593
2	5002	569

prune198.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.0b	(* y (- (pow 1.0 3) (pow y 3)))
4.1b	(* x (/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
10.5b	(/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
34×	`associate-r`
21×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
8×	`pow1` `sqr-pow`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/` `distribute-lft-out--`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-prod-down` `*-commutative` `flip--` `div-inv` `associate-/l/` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `distribute-rgt-out` `frac-2neg` `clear-num` `sum-log` `associate-/l*`

Counts

4 → 112

Calls

4 calls:

8.0ms	(+ (* y y) (* 1.0 y))
75.0ms	(* y (- (pow 1.0 3) (pow y 3)))
117.0ms	(* x (/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
60.0ms	(/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* y y) (* 1.0 y))
97.0ms	(* y (- (pow 1.0 3) (pow y 3)))
165.0ms	(* x (/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
193.0ms	(/ (* y (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify90.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	580	1125
1	3104	937
2	5002	926

prune295.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes52.0ms

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

sample401.0ms

Algorithm

intervals

Results

181.0ms

10576×

body

valid