Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
10.0ms	249×	body	80	nan

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	38	14
3	58	14
4	76	14
5	98	14
6	106	14
done	106	14

prune3.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

7.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify471.0ms

Counts

57 → 57

Iterations

Useful iterations: done (470.0ms)

Iter	Nodes	Cost
0	145	869
1	422	859
2	1561	745
done	5001	739

prune94.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 80

Calls

2 calls:

10.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))
15.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify603.0ms

Counts

86 → 86

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	196	1862
1	568	1826
2	2049	1674
done	5000	1666

prune157.0ms

Filtered

69 candidates to 86 candidates (-24.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	86	4	90

Merged error: 0b

Counts

90 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.4b	(/ (* (* 6.0 (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (cbrt (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
18×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-*l/`
13×	`add-cbrt-cube`
9×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
28.0ms	(/ (* (* 6.0 (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (cbrt (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (- x 1.0))
8.0ms	(cbrt (- x 1.0))
9.0ms	(cbrt (- x 1.0))
12.0ms	(/ (* (* 6.0 (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (cbrt (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify624.0ms

Counts

110 → 110

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	229	2567
1	635	2449
2	2557	2000
done	5000	1994

prune329.0ms

Filtered

98 candidates to 110 candidates (-12.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.1b	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
1.0b	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
17×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
10×	`associate-/r/`
7×	`pow1`
5×	`flip3-+` `associate-r` `flip-+` `div-inv`
4×	`cbrt-undiv` `associate-*r/` `div-exp` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-cube-cbrt`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `sub-neg` `flip3--` `distribute-lft-in` `unpow3` `flip--` `associate-/l/` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `clear-num` `-commutative` `rem-cbrt-cube` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

7.0ms	(* 6.0 (- x 1.0))
13.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
12.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
8.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 6.0 (- x 1.0))
13.0ms	(pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3)
13.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
8.0ms	(cbrt (pow (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))) 3))

simplify674.0ms

Counts

137 → 137

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	246	3195
1	743	2920
2	2748	2610
done	5000	2584

prune222.0ms

Filtered

92 candidates to 137 candidates (-48.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Merged error: 0b

Counts

141 → 4

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample953.0ms

Algorithm

intervals

Results

353.0ms	8000×	body	80	valid
327.0ms	8058×	body	80	nan

Details

sample33.0ms

simplify53.0ms

prune3.0ms

localize9.0ms

rewrite23.0ms

series13.0ms

simplify471.0ms

prune94.0ms

localize13.0ms

rewrite28.0ms

series17.0ms

simplify603.0ms

prune157.0ms

localize16.0ms

rewrite43.0ms

series37.0ms

simplify624.0ms

prune329.0ms

localize12.0ms

rewrite44.0ms

series38.0ms

simplify674.0ms

prune222.0ms

regimes74.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample953.0ms

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