Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
8.0ms	241×	body	80	nan

simplify12.0ms

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

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

localize9.0ms

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

series255.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* 6.0 (- x 1.0))
54.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
160.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (52.0ms)

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

prune205.0ms

Filtered

73 candidates to 55 candidates (75.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0b

Counts

74 → 5

localize12.0ms

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)))))
0.0b	(/ (- 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:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series344.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
158.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
136.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	634	1087
1	2675	1000
2	5001	998

prune295.0ms

Filtered

102 candidates to 79 candidates (77.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

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

series338.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
120.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
163.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify96.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 1 (20.0ms)

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

prune451.0ms

Filtered

163 candidates to 129 candidates (79.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `sqrt-div`
24×	`sqrt-prod`
21×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
10×	`sqrt-pow1` `pow1/2`
8×	`frac-times` `swap-sqr` `associate-/r/`
6×	`associate-r/` `associate-r` `associate-l*`
5×	`prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-/l/`
1×	`pow2` `flip3--` `frac-2neg` `times-frac` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `flip--` `div-inv` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

5.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
5.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
18.0ms	(/ (* 6.0 (- x 1.0)) (* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
13.0ms	(* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
162.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
162.0ms	(/ (* 6.0 (- x 1.0)) (* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
51.0ms	(* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify86.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	702	1581
1	3382	1372
2	5002	1323

prune340.0ms

Filtered

130 candidates to 82 candidates (63.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	130	5	135

Merged error: 0b

Counts

135 → 5

regimes75.0ms

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

sample882.0ms

Algorithm

intervals

Results

326.0ms	8000×	body	80	valid
289.0ms	7953×	body	80	nan

Details

sample32.0ms

simplify12.0ms

prune3.0ms

localize9.0ms

rewrite23.0ms

series255.0ms

simplify62.0ms

prune205.0ms

localize12.0ms

rewrite30.0ms

series344.0ms

simplify69.0ms

prune295.0ms

localize9.0ms

rewrite36.0ms

series338.0ms

simplify96.0ms

prune451.0ms

localize11.0ms

rewrite47.0ms

series531.0ms

simplify86.0ms

prune340.0ms

regimes75.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample882.0ms

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