Details

sample64.0ms

Algorithm

intervals

Results

21.0ms	271×	body	80	valid
20.0ms	252×	body	80	nan

simplify4.5s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

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))

rewrite256.0ms

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:

220.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(/ 1.0 (* x 9.0))
18.0ms	(* 3.0 (sqrt x))

series159.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
53.0ms	(* 3.0 (sqrt x))

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1870
1	600
0	215

prune457.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
15×	`*-un-lft-identity`
13×	`pow1` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
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-*r/`
1×	`distribute-rgt-in` `clear-num` `associate-/r*` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

10.0ms	(/ 1.0 (* x 9.0))
18.0ms	(* 3.0 (sqrt x))
11.0ms	(* 3.0 (sqrt x))
64.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))

series266.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* 3.0 (sqrt x))
65.0ms	(* 3.0 (sqrt x))
120.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 1.0 (* x 9.0))))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1598
1	438
0	163

prune544.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`-un-lft-identity` `associate-r*`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
8×	`sqrt-prod`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

4 → 94

Calls

4 calls:

20.0ms	(+ y (/ 0.1111111111111111 x))
18.0ms	(* 3.0 (sqrt x))
18.0ms	(* 3.0 (sqrt x))
69.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (/ 0.1111111111111111 x))
49.0ms	(* 3.0 (sqrt x))
53.0ms	(* 3.0 (sqrt x))
124.0ms	(* (* 3.0 (sqrt x)) (+ y (/ 0.1111111111111111 x)))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1325
1	372
0	130

prune531.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 160

Calls

4 calls:

184.0ms	(* (sqrt x) (+ (/ (/ 1.0 x) 9.0) (- y 1.0)))
9.0ms	(* 3.0 (sqrt x))
211.0ms	(* 3.0 (* (sqrt x) (+ (/ (/ 1.0 x) 9.0) (- y 1.0))))
11.0ms	(/ (/ 1.0 x) 9.0)

series253.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (sqrt x) (+ (/ (/ 1.0 x) 9.0) (- y 1.0)))
48.0ms	(* 3.0 (sqrt x))
91.0ms	(* 3.0 (* (sqrt x) (+ (/ (/ 1.0 x) 9.0) (- y 1.0))))
25.0ms	(/ (/ 1.0 x) 9.0)

simplify2.3s

Counts

172 → 172

Iterations

Iter	Nodes
done	5001
2	2935
1	849
0	308

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	31
3	31
2	24
1	20
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

793.0ms	8541×	body	80	valid
700.0ms	8580×	body	80	nan