Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

327×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	42	3
2	82	3
3	126	3
4	138	3
5	140	3
6	140	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ z 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

17.0ms

(* (+ x y) (+ z 1.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (+ x y) (+ z 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	265	187
1	1154	173
2	5002	173

prune57.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x y))
0.0b	(+ (* z (+ x y)) (* 1.0 (+ x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

5.0ms	(* z (+ x y))
6.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* z (+ x y))
40.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	305
1	1544	270
2	5002	270

prune78.0ms

Filtered

49 candidates to 36 candidates (73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (- z 1.0))
2.2b	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
3.1b	(- (* x x) (* y y))
27.9b	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

9.0ms	(* (- x y) (- z 1.0))
9.0ms	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
3.0ms	(- (* x x) (* y y))
18.0ms	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- x y) (- z 1.0))
123.0ms	(* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0)))
32.0ms	(- (* x x) (* y y))
215.0ms	(/ (* (- (* x x) (* y y)) (- (* z z) (* 1.0 1.0))) (* (- x y) (- z 1.0)))

simplify147.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	700	1279
1	4471	1059
2	5001	1059

prune268.0ms

Filtered

128 candidates to 94 candidates (73.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	128	3	131

Merged error: 0b

Counts

131 → 3

regimes92.0ms

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	12	5
1	12	5

end0.0ms

sample413.0ms

Algorithm

intervals

Results

219.0ms	10117×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid