Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	226×	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	57	14
4	75	14
5	96	14
6	104	14
done	104	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*` `sum-log`
2×	`pow1` `cbrt-undiv` `flip3-+` `associate-*r/` `div-exp` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 38

Calls

2 calls:

13.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
21.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series120.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
84.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify645.0ms

Counts

44 → 44

Iterations

Useful iterations: done (644.0ms)

Iter	Nodes	Cost
0	103	771
1	310	749
2	1100	625
done	5001	621

prune100.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite82.0ms

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:

15.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
36.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
23.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
82.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify939.0ms

Counts

163 → 163

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	264	3901
1	641	3749
2	2527	3557
done	5000	3557

prune376.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

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

rewrite87.0ms

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:

14.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
48.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series188.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
71.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify654.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (146.0ms)

Iter	Nodes	Cost
0	160	1876
1	439	1819
2	1491	1633
done	5000	1633

prune216.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))
0.3b	(cbrt (- x 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

20.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))
2.0ms	(cbrt (- x 1.0))

series423.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
98.0ms	(cbrt (- x 1.0))
104.0ms	(cbrt (- x 1.0))
101.0ms	(cbrt (- x 1.0))

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 3 (914.0ms)

Iter	Nodes	Cost
0	167	1563
1	370	1421
2	1125	1353
3	4426	1256
done	5001	1256

prune351.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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	14	14
done	14	14

end0.0ms

sample602.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
198.0ms	7984×	body	80	nan