Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
11.0ms	245×	body	80	nan

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	39	14
3	61	14
4	80	14
5	101	14
6	109	14
done	109	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))))

rewrite145.0ms

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:

30.0ms	(* 6.0 (- x 1.0))
41.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series212.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* 6.0 (- x 1.0))
53.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
103.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	982
1	376	955
2	1227	811
done	5000	808

prune192.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

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

rewrite260.0ms

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:

46.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
140.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
68.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series222.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
83.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
91.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.8s

Counts

102 → 102

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	160	1876
1	434	1819
2	1324	1633
3	4603	1628
done	5001	1628

prune313.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))))))
0.2b	(* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite390.0ms

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:

51.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
44.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
86.0ms	(/ (* 6.0 (- x 1.0)) (* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
205.0ms	(* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
81.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
90.0ms	(/ (* 6.0 (- x 1.0)) (* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
54.0ms	(* (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify1.3s

Counts

130 → 130

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	173	3333
1	469	2286
2	1864	1964
done	5000	1931

prune388.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

67.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
36.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
36.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
23.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
315.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
328.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
304.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify982.0ms

Counts

91 → 91

Iterations

Useful iterations: done (978.0ms)

Iter	Nodes	Cost
0	153	2197
1	422	2129
2	1470	1874
done	5000	1839

prune438.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

441.0ms	8000×	body	80	valid
441.0ms	7863×	body	80	nan