Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	271×	body	80	valid
11.0ms	252×	body	80	nan

simplify9.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4987
8	2165
7	1360
6	876
5	580
4	389
3	184
2	62
1	24
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 3 expressions with local error:

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

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`pow1`
7×	`distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`expm1-log1p-u` `times-frac` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-r/` `-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-inv` `flip--` `difference-of-squares`

Counts

3 → 105

Calls

3 calls:

387.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (sqrt x))

series237.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
37.0ms	(/ 1.0 (* x 9.0))
82.0ms	(* 3.0 (sqrt x))

simplify3.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5003
2	1868
1	600
0	215

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity`
13×	`pow1` `associate-r` `add-cube-cbrt`
10×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `associate-*l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

22.0ms	(/ 1.0 (* x 9.0))
28.0ms	(* 3.0 (sqrt x))
27.0ms	(* 3.0 (sqrt x))
129.0ms	(* (+ y (/ 1.0 (* x 9.0))) (* 3.0 (sqrt x)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1.0 (* x 9.0))
59.0ms	(* 3.0 (sqrt x))
71.0ms	(* 3.0 (sqrt x))
123.0ms	(* (+ y (/ 1.0 (* x 9.0))) (* 3.0 (sqrt x)))

simplify3.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1385
1	398
0	158

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`-un-lft-identity` `associate-r*`
13×	`pow1` `add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

84.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
21.0ms	(/ 1.0 (* x 9.0))
16.0ms	(* 3.0 (sqrt x))
144.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

series287.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
41.0ms	(/ 1.0 (* x 9.0))
71.0ms	(* 3.0 (sqrt x))
109.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

simplify3.4s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1563
1	477
0	186

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite732.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
53×	`add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
13×	`pow1` `associate-/l*`
8×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+`
1×	`clear-num` `frac-2neg` `distribute-lft-out` `associate-/l/`

Counts

4 → 148

Calls

4 calls:

455.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) 3.0)
14.0ms	(* 3.0 (sqrt x))
15.0ms	(/ (/ 1.0 x) 9.0)
237.0ms	(* (* (+ y (/ (/ 1.0 x) 9.0)) 3.0) (sqrt x))

series268.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ y (/ (/ 1.0 x) 9.0)) 3.0)
80.0ms	(* 3.0 (sqrt x))
35.0ms	(/ (/ 1.0 x) 9.0)
98.0ms	(* (* (+ y (/ (/ 1.0 x) 9.0)) 3.0) (sqrt x))

simplify4.0s

Counts

160 → 160

Iterations

Iter	Nodes
done	5001
2	2148
1	710
0	285

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes827.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify28.0ms

Iterations

Iter	Nodes
done	30
3	30
2	23
1	19
0	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

777.0ms	8541×	body	80	valid
689.0ms	8580×	body	80	nan