Details

sample24.0ms

Algorithm

intervals

Results

13.0ms	318×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite18.0ms

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:

12.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify116.0ms

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

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

9.0ms	(* z (+ x 5.0))
3.0ms	(+ (* y x) (* z (+ x 5.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (+ x 5.0))
27.0ms	(+ (* y x) (* 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	4788	168
3	5001	168

prune80.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
0.5b	(cbrt (* z (+ x 5.0)))
0.5b	(cbrt (* z (+ x 5.0)))
0.5b	(cbrt (* z (+ x 5.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
4.0ms	(cbrt (* z (+ x 5.0)))
4.0ms	(cbrt (* z (+ x 5.0)))
3.0ms	(cbrt (* z (+ x 5.0)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (* z (+ x 5.0))) (cbrt (* z (+ x 5.0))))
130.0ms	(cbrt (* z (+ x 5.0)))
132.0ms	(cbrt (* z (+ x 5.0)))
131.0ms	(cbrt (* z (+ x 5.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	417	920
1	1436	842
2	5002	770

prune290.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
4.1b	(* z (- (* x x) (* 5.0 5.0)))
5.8b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite32.0ms

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:

10.0ms	(+ (* 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))

series232.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
68.0ms	(* z (- (* x x) (* 5.0 5.0)))
92.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (53.0ms)

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

prune163.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b 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

sample658.0ms

Algorithm

intervals

Results

410.0ms	9798×	body	80	valid
18.0ms	100×	body	1280	valid
18.0ms	122×	body	640	valid
7.0ms	63×	body	320	valid
3.0ms	28×	body	160	valid