Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

284×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

10.0ms	(* x (- y 1.0))
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series56.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (- y 1.0))
26.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify72.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2660	196
3	5003	196

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* x (- 1.0)))
0.0b	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`distribute-rgt-neg-out`
2×	`pow1` `add-exp-log` `associate--l-` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `unsub-neg` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

2.0ms	(+ (* x y) (* x (- 1.0)))
15.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

series71.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) (* x (- 1.0)))
29.0ms	(- (+ (* x y) (* x (- 1.0))) (* y 0.5))

simplify109.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	180	241
1	732	204
2	3352	198
3	5002	198

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

43.0ms	(* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5))))
5.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
5.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
5.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (- (* x (- y 1.0)) (* y 0.5))) (cbrt (- (* x (- y 1.0)) (* y 0.5))))
117.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
121.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))
120.0ms	(cbrt (- (* x (- y 1.0)) (* y 0.5)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	381	1450
1	1157	1369
2	5002	1265

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.0b	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
3.1b	(* x (- (* y y) (* 1.0 1.0)))
11.1b	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

2.0ms	(- (* y y) (* 1.0 1.0))
27.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
10.0ms	(* x (- (* y y) (* 1.0 1.0)))
10.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y y) (* 1.0 1.0))
59.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
63.0ms	(* x (- (* y y) (* 1.0 1.0)))
88.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	378	644
1	1749	557
2	5003	554

prune176.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample361.0ms

Algorithm

intervals

Results

216.0ms	9208×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid