Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	294×	body	80	nan
12.0ms	279×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1492
5	656
4	371
3	180
2	64
1	24
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

16.0ms	(+ y (/ 1.0 (* x 9.0)))
7.0ms	(/ 1.0 (* x 9.0))
143.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(* 3.0 (sqrt x))

series212.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1.0 (* x 9.0)))
32.0ms	(/ 1.0 (* x 9.0))
93.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
49.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2603
1	482
0	178

prune398.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) y)
0.2b	(/ 1.0 (* 9.0 x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`

Counts

4 → 83

Calls

4 calls:

36.0ms	(* (* 3.0 (sqrt x)) y)
9.0ms	(/ 1.0 (* 9.0 x))
8.0ms	(* 3.0 (sqrt x))
8.0ms	(* 3.0 (sqrt x))

series207.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* 3.0 (sqrt x)) y)
28.0ms	(/ 1.0 (* 9.0 x))
51.0ms	(* 3.0 (sqrt x))
69.0ms	(* 3.0 (sqrt x))

simplify843.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1864
1	371
0	150

prune586.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* 9.0 x)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0))
0.2b	(/ 1.0 (* 9.0 x))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0)))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

17.0ms	(+ y (/ 1.0 (* 9.0 x)))
213.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0))
11.0ms	(/ 1.0 (* 9.0 x))
199.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ y (/ 1.0 (* 9.0 x)))
76.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0))
34.0ms	(/ 1.0 (* 9.0 x))
81.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* 9.0 x))) 1.0)))

simplify978.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	2080
1	460
0	178

prune566.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (/ (/ 1.0 9.0) x) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (* y 3.0) (sqrt x))
0.4b	(/ (/ 1.0 9.0) x)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
65×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
52×	`add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
16×	`pow1`
13×	`associate-/l*`
7×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
5×	`associate-l` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3--` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 141

Calls

4 calls:

108.0ms	(* (* 3.0 (sqrt x)) (- (/ (/ 1.0 9.0) x) 1.0))
15.0ms	(* 3.0 (sqrt x))
28.0ms	(* (* y 3.0) (sqrt x))
9.0ms	(/ (/ 1.0 9.0) x)

series310.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (* 3.0 (sqrt x)) (- (/ (/ 1.0 9.0) x) 1.0))
67.0ms	(* 3.0 (sqrt x))
102.0ms	(* (* y 3.0) (sqrt x))
27.0ms	(/ (/ 1.0 9.0) x)

simplify2.0s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	4526
1	812
0	296

prune794.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

926.0ms	8330×	body	80	nan
771.0ms	8527×	body	80	valid