Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	296×	body	80	valid
1.0ms	10×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	7×	body	160	valid
0.0ms	2×	body	1280	valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.1b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`associate-l`
27×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--` `add-log-exp`
6×	`difference-of-squares`
5×	`sub-neg` `distribute-lft-out--` `unswap-sqr`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`*-commutative`
2×	`times-frac` `associate-*r/`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 104

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
18.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
18.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series168.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
67.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms	(* (- y x) 6.0)
49.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	453	738
1	2141	686
2	5001	686

prune188.0ms

Filtered

116 candidates to 79 candidates (31.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Merged error: 0.1b

Counts

117 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate-l`
30×	`associate-r`
23×	`add-exp-log`
18×	`pow1` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
17×	`unswap-sqr`
14×	`prod-exp`
12×	`add-cube-cbrt`
11×	`sub-neg`
10×	`associate-*r/`
9×	`pow-prod-down` `cbrt-unprod`
8×	`associate-+r+` `flip3--` `associate-*l/` `flip--` `add-log-exp`
7×	`difference-of-squares`
5×	`*-commutative` `distribute-lft-out` `distribute-lft-out--`
4×	`frac-times`
3×	`times-frac`
2×	`1-exp`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+`

Counts

4 → 140

Calls

4 calls:

8.0ms	(- (/ 2.0 3.0) z)
25.0ms	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
11.0ms	(* 6.0 (- (/ 2.0 3.0) z))
24.0ms	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z))))
41.0ms	(* 6.0 (- (/ 2.0 3.0) z))
48.0ms	(* (* (- y x) 1) (* 6.0 (- (/ 2.0 3.0) z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	643	1059
1	2746	962
2	5001	960

prune225.0ms

Filtered

152 candidates to 92 candidates (39.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	153	8	161

Merged error: 0.1b

Counts

161 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (* (- y x) 1) (- 4.0 (* 6.0 z))))
0.1b	(* (* (- y x) 1) (- 4.0 (* 6.0 z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`associate-l`
10×	`add-exp-log` `associate-r`
9×	`unswap-sqr`
8×	`pow1` `associate-*l/` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3--` `flip--` `add-log-exp`
6×	`distribute-lft-out--`
5×	`sub-neg` `prod-exp` `distribute-lft-out` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in`
3×	`pow-prod-down` `*-commutative` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3-+` `diff-log` `1-exp` `sum-log` `flip-+`

Counts

3 → 88

Calls

3 calls:

6.0ms	(- 4.0 (* 6.0 z))
21.0ms	(+ x (* (* (- y x) 1) (- 4.0 (* 6.0 z))))
17.0ms	(* (* (- y x) 1) (- 4.0 (* 6.0 z)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- 4.0 (* 6.0 z))
67.0ms	(+ x (* (* (- y x) 1) (- 4.0 (* 6.0 z))))
50.0ms	(* (* (- y x) 1) (- 4.0 (* 6.0 z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	445	634
1	1760	581
2	5001	579

prune152.0ms

Filtered

97 candidates to 62 candidates (36.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.1b

Counts

105 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt (* (- y x) 6.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

122×	`cbrt-prod`
81×	`add-sqr-sqrt`
60×	`associate-l`
59×	`*-un-lft-identity`
38×	`associate-r`
29×	`add-cube-cbrt`
23×	`swap-sqr`
22×	`unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1` `distribute-lft-out--`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-commutative` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 167

Calls

4 calls:

23.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
6.0ms	(cbrt (* (- y x) 6.0))
6.0ms	(cbrt (* (- y x) 6.0))
7.0ms	(cbrt (* (- y x) 6.0))

series935.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
232.0ms	(cbrt (* (- y x) 6.0))
224.0ms	(cbrt (* (- y x) 6.0))
230.0ms	(cbrt (* (- y x) 6.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	382	1581
1	1408	1501
2	5001	1392

prune417.0ms

Filtered

179 candidates to 125 candidates (30.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	179	9	188

Merged error: 0.1b

Counts

188 → 9

regimes143.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	20	6
2	20	6

end0.0ms

sample550.0ms

Algorithm

intervals

Results

267.0ms	9456×	body	80	valid
26.0ms	256×	body	640	valid
19.0ms	152×	body	1280	valid
17.0ms	196×	body	320	valid
6.0ms	121×	body	160	valid