Details

sample49.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
17.0ms	245×	body	80	nan

simplify162.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	107
8	107
7	106
6	104
5	93
4	70
3	54
2	36
1	21
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`associate-/r` `sum-log` `times-frac` `associate-l*` `insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`+-commutative` `associate-+l+` `clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

19.0ms	(* 6.0 (- x 1.0))
31.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
46.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series234.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* 6.0 (- x 1.0))
63.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
112.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1311
1	389
0	137

prune301.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*` `times-frac`
11×	`associate-*l/`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`cbrt-div`
6×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out` `associate-/l/`
5×	`frac-times`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `prod-exp` `associate-r/` `cbrt-unprod` `flip-+` `div-inv` `flip--` `associate-/l`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 102

Calls

4 calls:

49.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
38.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
44.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
303.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
130.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
122.0ms	(/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))
163.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
2	1354
1	394
0	139

prune739.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

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

rewrite927.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-div`
20×	`frac-times` `associate-*l/`
12×	`associate-*r/`
8×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow3` `rem-cbrt-cube`

Counts

4 → 74

Calls

4 calls:

4.0ms	(cbrt (cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))))))
284.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))
343.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))
295.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

396.0ms	(cbrt (cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))))))
164.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))
162.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))
166.0ms	(cbrt (* (* (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))) (/ (* (- x 1.0) 6.0) (+ x (+ (* (sqrt x) 4.0) 1.0)))))

simplify2.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4605
2	1027
1	333
0	139

prune558.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
0.1b	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.5b	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
16.4b	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
27×	`*-un-lft-identity`
19×	`pow-prod-down`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`prod-exp` `cbrt-unprod`
13×	`add-cube-cbrt`
8×	`times-frac` `associate-r`
7×	`swap-sqr`
6×	`frac-times` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
5×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
4×	`distribute-rgt-in` `cbrt-undiv` `associate-/r*` `distribute-lft-in` `div-exp` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`pow-plus` `associate-l/` `-commutative` `difference-of-squares`
2×	`pow2` `sub-neg` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 145

Calls

4 calls:

24.0ms	(* (+ x 1.0) (+ x 1.0))
208.0ms	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
41.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
58.0ms	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ x 1.0) (+ x 1.0))
175.0ms	(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
37.0ms	(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
86.0ms	(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

simplify2.2s

Counts

157 → 157

Iterations

Iter	Nodes
done	5011
2	3538
1	833
0	255

prune554.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample1.8s

Algorithm

intervals

Results

832.0ms	8000×	body	80	valid
726.0ms	7851×	body	80	nan