Details

sample54.0ms

Algorithm

intervals

Results

18.0ms	245×	body	80	nan
15.0ms	256×	body	80	valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	39	14
3	62	14
4	85	14
5	111	14
6	119	14
done	119	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))))

rewrite103.0ms

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:

22.0ms	(* 6.0 (- x 1.0))
29.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
50.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series193.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* 6.0 (- x 1.0))
52.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
89.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify935.0ms

Counts

73 → 73

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	133	982
1	390	955
2	1771	819
done	5000	811

prune286.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt` `prod-exp`
6×	`associate-*r/`
5×	`pow1` `div-exp` `associate-r`
4×	`cbrt-unprod`
3×	`cbrt-undiv` `times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `1-exp` `associate-/r/` `flip--` `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 → 68

Calls

3 calls:

34.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
27.0ms	(* 6.0 (- x 1.0))
86.0ms	(/ (* 1 (* 6.0 (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
57.0ms	(* 6.0 (- x 1.0))
87.0ms	(/ (* 1 (* 6.0 (- x 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify3.3s

Counts

77 → 77

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	151	1147
1	449	1056
2	2398	890
done	5002	886

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b	(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.1b	(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b	(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
52×	`add-exp-log` `times-frac`
42×	`*-un-lft-identity`
40×	`add-cube-cbrt`
35×	`sqrt-prod`
32×	`add-cbrt-cube`
24×	`associate-l`
18×	`div-exp`
17×	`prod-exp`
12×	`associate-r` `associate-/r*`
10×	`cbrt-undiv` `sqrt-div`
9×	`pow1` `cbrt-unprod`
8×	`associate-/r/`
5×	`flip3-+` `flip-+` `unswap-sqr`
4×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-flip` `associate-*r/`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`
1×	`frac-times` `rem-sqrt-square` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `inv-pow`

Counts

4 → 164

Calls

4 calls:

30.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
213.0ms	(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
55.0ms	(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
48.0ms	(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
83.0ms	(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
98.0ms	(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
172.0ms	(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify412.0ms

Counts

176 → 176

Iterations

Useful iterations: done (403.0ms)

Iter	Nodes	Cost
0	245	4559
1	753	4151
done	5000	3602

prune641.0ms

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

rewrite133.0ms

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:

58.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
24.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
22.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
27.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series965.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
282.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
294.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
292.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	153	2197
1	431	2129
2	2072	1880
done	5001	1865

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	20	14
2	21	14
done	21	14

end0.0ms

sample1.7s

Algorithm

intervals

Results

785.0ms	8000×	body	80	valid
505.0ms	7921×	body	80	nan