Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	244×	body	80	nan

simplify11.0ms

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 (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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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

series17.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	492	549
1	2177	479
2	5002	478

prune107.0ms

Filtered

73 candidates to 55 candidates (24.7%)

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

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

rewrite33.0ms

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)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
8.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	822	2172
1	3767	2075
2	5001	2075

prune288.0ms

Filtered

163 candidates to 129 candidates (20.9%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
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)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate-r` `add-cbrt-cube`
18×	`times-frac`
13×	`prod-exp`
12×	`pow1`
9×	`add-log-exp`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-/r` `sum-log` `flip--` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `associate-+l+` `pow-flip` `frac-2neg` `clear-num` `un-div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

6.0ms	(* 6.0 (- x 1.0))
5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
14.0ms	(* (* 6.0 (- x 1.0)) (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 6.0 (- x 1.0))
4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x))))
10.0ms	(* (* 6.0 (- x 1.0)) (/ 1 (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	736	1104
1	3646	959
2	5001	932

prune154.0ms

Filtered

128 candidates to 81 candidates (36.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	128	4	132

Merged error: 0b

Counts

132 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
11.0ms	(pow (exp 6.0) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series24.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
13.0ms	(pow (exp 6.0) (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	716	1141
1	2888	1089
2	5003	1087

prune215.0ms

Filtered

101 candidates to 81 candidates (19.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes32.0ms

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	16	9
1	16	9

end0.0ms

sample866.0ms

Algorithm

intervals

Results

317.0ms	8000×	body	80	valid
297.0ms	8075×	body	80	nan

Details

sample27.0ms

simplify11.0ms

prune2.0ms

localize8.0ms

rewrite23.0ms

series17.0ms

simplify54.0ms

prune107.0ms

localize8.0ms

rewrite33.0ms

series20.0ms

simplify91.0ms

prune288.0ms

localize9.0ms

rewrite35.0ms

series23.0ms

simplify82.0ms

prune154.0ms

localize14.0ms

rewrite28.0ms

series24.0ms

simplify71.0ms

prune215.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample866.0ms

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