Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	302×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	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

localize6.0ms

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))

series57.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ y z))
28.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify120.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (30.0ms)

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite12.0ms

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* y x) (* z (+ x 5.0)))
34.0ms	(* z (+ x 5.0))

simplify129.0ms

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

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b	(* z (- (* x x) (* 5.0 5.0)))
5.7b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite31.0ms

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×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

9.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms	(* z (- (* x x) (* 5.0 5.0)))
10.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series225.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
66.0ms	(* z (- (* x x) (* 5.0 5.0)))
90.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	397	570
1	1870	498
2	5002	464

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.3b	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
7.3b	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
81×	`add-cube-cbrt`
47×	`difference-of-squares`
30×	`associate-/r*`
21×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 179

Calls

3 calls:

36.0ms	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
13.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
10.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
90.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
42.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify125.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	785	2139
1	4188	1991
2	5001	1936

prune480.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes56.0ms

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

sample475.0ms

Algorithm

intervals

Results

240.0ms	9853×	body	80	valid
11.0ms	106×	body	1280	valid
9.0ms	105×	body	640	valid
3.0ms	53×	body	320	valid
2.0ms	40×	body	160	valid