Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

324×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (7.0ms)

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

prune66.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

6.0ms	(* z (+ x y))
7.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* z (+ x y))
36.0ms	(+ (* z (+ x y)) (* 1.0 (+ x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (9.0ms)

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

prune94.0ms

Filtered

49 candidates to 36 candidates (73.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series716.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt z) (cbrt z))
166.0ms	(cbrt z)
168.0ms	(cbrt z)
194.0ms	(cbrt z)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune197.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ x y))
0.0b	(+ (cbrt (pow (* z (+ x y)) 3)) (* 1.0 (+ x y)))
0.3b	(pow (* z (+ x y)) 3)
34.7b	(cbrt (pow (* z (+ x y)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*r/`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cube-div` `cbrt-prod` `add-cube-cbrt` `flip3-+` `flip-+`
6×	`cbrt-div` `add-log-exp`
4×	`associate-r` `frac-add`
3×	`pow-unpow` `associate-l`
2×	`distribute-rgt-in` `cube-mult` `unpow-prod-down` `associate-+r+` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* z (+ x y))
7.0ms	(+ (cbrt (pow (* z (+ x y)) 3)) (* 1.0 (+ x y)))
6.0ms	(pow (* z (+ x y)) 3)
2.0ms	(cbrt (pow (* z (+ x y)) 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* z (+ x y))
37.0ms	(+ (cbrt (pow (* z (+ x y)) 3)) (* 1.0 (+ x y)))
46.0ms	(pow (* z (+ x y)) 3)
25.0ms	(cbrt (pow (* z (+ x y)) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	430	546
1	2388	482
2	5003	473

prune211.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes106.0ms

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	10	3
1	10	3

end0.0ms

sample386.0ms

Algorithm

intervals

Results

191.0ms	10072×	body	80	valid
0.0ms	1×	body	1280	valid