Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

312×

body

valid

simplify28.0ms

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	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) y)
35.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	184	181
1	787	167
2	4082	166
3	5001	166

prune62.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b	(* (* x z) (* x z))
2.3b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
25.6b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
6.0ms	(* (* x z) (* x z))
13.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
24.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (- 1.0 x) y) (* (- 1.0 x) y))
30.0ms	(* (* x z) (* x z))
99.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
150.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	561	1315
1	2871	1117
2	5002	1096

prune172.0ms

Filtered

137 candidates to 73 candidates (53.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* x z))
2.3b	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
4.3b	(* x (* z (* x z)))
25.6b	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-r` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* z (* x z))
13.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
6.0ms	(* x (* z (* x z)))
21.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* z (* x z))
116.0ms	(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z))))
30.0ms	(* x (* z (* x z)))
153.0ms	(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* x (* z (* x z)))) (- (* (- 1.0 x) y) (* x z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	417	1103
1	2124	955
2	5001	934

prune157.0ms

Filtered

95 candidates to 65 candidates (68.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

98 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 x))
0.0b	(+ (* x z) (* y (- 1.0 x)))
0.1b	(pow (+ (* x z) (* y (- 1.0 x))) 3)
38.3b	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* y (- 1.0 x))
4.0ms	(+ (* x z) (* y (- 1.0 x)))
4.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
4.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- 1.0 x))
29.0ms	(+ (* x z) (* y (- 1.0 x)))
84.0ms	(pow (+ (* x z) (* y (- 1.0 x))) 3)
30.0ms	(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	336	639
1	1712	603
2	5001	597

prune142.0ms

Filtered

101 candidates to 58 candidates (57.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes63.0ms

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

sample486.0ms

Algorithm

intervals

Results

285.0ms

10104×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4