Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	276×	body	80	nan

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 0.4b

Counts

2 → 1

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))
0.3b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

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

series149.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
40.0ms	(* 6.0 (- x 1.0))
75.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	377	495
1	1642	421
2	5001	420

prune131.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize11.0ms

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

rewrite49.0ms

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:

17.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
8.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (59.0ms)

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

prune311.0ms

Filtered

163 candidates to 126 candidates (77.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
108×	`times-frac`
95×	`*-un-lft-identity`
69×	`add-cube-cbrt`
63×	`sqrt-prod`
36×	`associate-r`
24×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`associate-/r/` `associate-/l*`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 203

Calls

4 calls:

5.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
7.0ms	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
35.0ms	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
11.0ms	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
110.0ms	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
78.0ms	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
135.0ms	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	772	3129
1	3369	2865
2	5001	2758

prune426.0ms

Filtered

215 candidates to 140 candidates (65.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.0b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.4b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
9×	`add-log-exp`
7×	`pow1` `cbrt-undiv`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `sum-log` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `pow-flip` `pow-prod-down` `*-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
12.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
38.0ms	(* 6.0 (- x 1.0))
78.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
80.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	558	1339
1	2668	1170
2	5001	1122

prune193.0ms

Filtered

140 candidates to 83 candidates (59.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Merged error: 0b

Counts

144 → 4

regimes16.0ms

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	14	7
1	14	7

end0.0ms

sample613.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
202.0ms	8187×	body	80	nan

Details

sample24.0ms

simplify13.0ms

prune2.0ms

localize8.0ms

rewrite24.0ms

series149.0ms

simplify44.0ms

prune131.0ms

localize11.0ms

rewrite49.0ms

series185.0ms

simplify83.0ms

prune311.0ms

localize11.0ms

rewrite66.0ms

series392.0ms

simplify91.0ms

prune426.0ms

localize13.0ms

rewrite39.0ms

series235.0ms

simplify69.0ms

prune193.0ms

regimes16.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample613.0ms

Profiling