Details

sample59.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
17.0ms	272×	body	80	nan

simplify414.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 3 expressions with local error:

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

rewrite262.0ms

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:

68.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
70.0ms	(* 6.0 (- x 1.0))
120.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series220.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
49.0ms	(* 6.0 (- x 1.0))
120.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1308
1	387
0	137

prune530.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize119.0ms

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

rewrite395.0ms

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-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 157

Calls

3 calls:

69.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
196.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
102.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
122.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
97.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify4.3s

Counts

166 → 166

Iterations

Iter	Nodes
done	5006
2	2512
1	720
0	268

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.0b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

72.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
56.0ms	(* 6.0 (- x 1.0))
134.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
176.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
52.0ms	(* 6.0 (- x 1.0))
105.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
111.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify3.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	5004
2	1877
1	585
0	225

prune926.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize162.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.3b	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.3b	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.3b	(* (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

32.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
32.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
31.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
306.0ms	(* (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
202.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
230.0ms	(cbrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
239.0ms	(* (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (cbrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify5.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3108
2	949
1	353
0	138

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
678.0ms	8083×	body	80	nan