Details

sample25.0ms

Algorithm

intervals

Results

13.0ms	329×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
30.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune78.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y x) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* y x) (* z (+ x 5.0)))
10.0ms	(* z (+ x 5.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* y x) (* z (+ x 5.0)))
36.0ms	(* z (+ x 5.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	210	182
1	941	168
2	4793	168
3	5002	168

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
2.4b	(* z (- (* x x) (* 5.0 5.0)))
7.3b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(- (* x x) (* 5.0 5.0))
10.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms	(* z (- (* x x) (* 5.0 5.0)))
11.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series267.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x x) (* 5.0 5.0))
72.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
66.0ms	(* z (- (* x x) (* 5.0 5.0)))
89.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	407	650
1	1893	567
2	5003	533

prune192.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
0.0b	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
2.4b	(* z (+ (pow x 3) (pow 5.0 3)))
11.8b	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

27.0ms	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
7.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
53.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
30.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
26.0ms	(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
90.0ms	(* z (+ (pow x 3) (pow 5.0 3)))
152.0ms	(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify68.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	460	856
1	2379	746
2	5002	739

prune259.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4

end0.0ms

sample652.0ms

Algorithm

intervals

Results

399.0ms	9789×	body	80	valid
19.0ms	114×	body	1280	valid
12.0ms	82×	body	640	valid
7.0ms	64×	body	320	valid
3.0ms	40×	body	160	valid