Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

450×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ x y) (+ x y))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (+ x y) (+ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune47.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 165

Calls

4 calls:

9.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
6.0ms	(cbrt (* (+ x y) (+ x y)))
6.0ms	(cbrt (* (+ x y) (+ x y)))
6.0ms	(cbrt (* (+ x y) (+ x y)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
111.0ms	(cbrt (* (+ x y) (+ x y)))
112.0ms	(cbrt (* (+ x y) (+ x y)))
112.0ms	(cbrt (* (+ x y) (+ x y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	395	2824
1	1282	2753
2	5002	2710

prune306.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
14×	`flip3-+` `flip-+`
10×	`cbrt-prod` `*-un-lft-identity`
8×	`frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`
2×	`distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
6.0ms	(cbrt (* (+ x y) (+ x y)))
6.0ms	(cbrt (* (+ x y) (+ x y)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ x y))
121.0ms	(cbrt (+ x y))
110.0ms	(cbrt (* (+ x y) (+ x y)))
113.0ms	(cbrt (* (+ x y) (+ x y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	253	524
1	841	496
2	3540	488
3	5001	488

prune215.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) (- x y))
0.2b	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
34.6b	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
24×	`flip3--` `flip--`
23×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`frac-times`
11×	`add-cube-cbrt` `swap-sqr`
9×	`associate-r` `associate-l`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
3×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 122

Calls

3 calls:

9.0ms	(* (- x y) (- x y))
9.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
16.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

series94.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (- x y) (- x y))
38.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
40.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	521	1265
1	3400	1005
2	5002	980

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample422.0ms

Algorithm

intervals

Results

206.0ms

14249×

body

valid