Details

sample270.0ms

Algorithm

intervals

Results

7.0ms

312×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

12.0ms

(* (+ x y) z)

series30.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* (+ x y) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (* x x) (* y y))
9.7b	(* (- (* x x) (* y y)) z)
18.8b	(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

3.0ms	(- (* x x) (* y y))
10.0ms	(* (- (* x x) (* y y)) z)
10.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

series130.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (* x x) (* y y))
42.0ms	(* (- (* x x) (* y y)) z)
56.0ms	(/ (* (- (* x x) (* y y)) z) (- x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	302	480
1	1573	406
2	5001	397

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x y))
3.6b	(- (* x x) (* y y))
14.1b	(/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y))))
16.3b	(* (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ z (cbrt (- x y))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
39×	`times-frac`
32×	`*-un-lft-identity`
30×	`add-exp-log` `associate-r`
28×	`cbrt-div`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
18×	`associate-/r/`
16×	`flip3--` `associate-l` `flip--`
9×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`associate-r/` `associate-l/`
4×	`associate-/l*` `distribute-lft-out--`
3×	`div-inv`
2×	`associate-/l/`
1×	`sub-neg` `frac-2neg` `pow1/3` `diff-log` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative`

Counts

4 → 138

Calls

4 calls:

2.0ms	(cbrt (- x y))
3.0ms	(- (* x x) (* y y))
17.0ms	(/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y))))
65.0ms	(* (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ z (cbrt (- x y))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- x y))
30.0ms	(- (* x x) (* y y))
62.0ms	(/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y))))
51.0ms	(* (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ z (cbrt (- x y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	839	1903
1	3660	1678
2	5003	1612

prune400.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (+ x y) (sqrt z)) (sqrt z))
0.2b	(* (+ x y) (sqrt z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-*l/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 48

Calls

2 calls:

18.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))
11.0ms	(* (+ x y) (sqrt z))

series78.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (* (+ x y) (sqrt z)) (sqrt z))
48.0ms	(* (+ x y) (sqrt z))

simplify74.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	208	281
1	931	233
2	3962	226
3	5002	226

prune86.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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	7	2
1	7	2

end0.0ms

sample401.0ms

Algorithm

intervals

Results

182.0ms

10188×

body

valid