Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
16.0ms	(+ (* x y) (* (- x 1.0) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- x 1.0) z)
35.0ms	(+ (* x y) (* (- x 1.0) z))

simplify108.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	187	207
1	775	190
2	4041	190
3	5001	190

prune83.0ms

Filtered

45 candidates to 28 candidates (62.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

10.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))

series440.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
103.0ms	(cbrt (- x 1.0))
110.0ms	(cbrt (- x 1.0))
102.0ms	(cbrt (- x 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	377	875
1	1271	824
2	5001	742

prune513.0ms

Filtered

116 candidates to 81 candidates (69.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	116	5	121

Merged error: 0.0b

Counts

121 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

293×	`*-un-lft-identity`
151×	`cbrt-prod`
145×	`associate-l`
114×	`distribute-lft-out`
54×	`swap-sqr`
38×	`distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
12×	`associate-r`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 168

Calls

4 calls:

36.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
15.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
17.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
14.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series676.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
158.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
158.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
157.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	332	2249
1	1116	2145
2	5001	1609

prune262.0ms

Filtered

180 candidates to 75 candidates (41.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	2	0	2
Picked	1	0	1
Done	1	1	2
Total	181	4	185

Merged error: 0b

Counts

185 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
48×	`cbrt-prod`
28×	`associate-l`
24×	`distribute-lft-out`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 79

Calls

4 calls:

18.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
14.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
14.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
15.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
160.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
157.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
156.0ms	(cbrt (cbrt (+ (* x y) (* (- x 1.0) z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	248	906
1	635	860
2	2385	820
3	5001	816

prune259.0ms

Filtered

91 candidates to 63 candidates (69.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

regimes75.0ms

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	11	4
1	11	4

end0.0ms

sample453.0ms

Algorithm

intervals

Results

250.0ms

10029×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4