Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	281×	body	80	nan
9.0ms	256×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune3.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*` `sum-log`
2×	`pow1` `cbrt-undiv` `flip3-+` `associate-*r/` `div-exp` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series108.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify37.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	310	397
1	1293	333
2	5001	328

prune87.0ms

Filtered

44 candidates to 35 candidates (79.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	5	45

Merged error: 0b

Counts

45 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `associate-/r*` `sum-log` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

3 → 93

Calls

3 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series213.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
99.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
69.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify56.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	439	987
1	1809	895
2	5003	893

prune173.0ms

Filtered

102 candidates to 75 candidates (73.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.1b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

10.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
101.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	641	2084
1	2942	1986
2	5001	1984

prune295.0ms

Filtered

163 candidates to 126 candidates (77.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.2b	(* (* 6.0 (- x 1.0)) (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
17×	`add-cbrt-cube`
15×	`associate-r`
12×	`prod-exp`
9×	`pow1`
8×	`add-log-exp`
6×	`div-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`associate-/r/`
3×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-/r` `sum-log` `flip-+` `associate-/l`
2×	`frac-times` `flip3--` `associate-*l/` `flip--` `div-inv`
1×	`+-commutative` `associate-+l+` `pow-flip` `frac-2neg` `associate-l` `clear-num` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 90

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
17.0ms	(* (* 6.0 (- x 1.0)) (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
52.0ms	(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
80.0ms	(* (* 6.0 (- x 1.0)) (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	497	906
1	2396	765
2	5002	736

prune140.0ms

Filtered

99 candidates to 60 candidates (60.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0b

Counts

104 → 5

regimes18.0ms

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	15	7
1	15	7

end0.0ms

sample784.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
281.0ms	8286×	body	80	nan