Details

sample73.0ms

Algorithm

intervals

Results

24.0ms	271×	body	80	valid
15.0ms	252×	body	80	nan

simplify6.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
9	2920
8	1615
7	959
6	645
5	435
4	318
3	176
2	62
1	24
0	12

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize61.0ms

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))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`pow1`
9×	`add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `insert-posit16` `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--` `distribute-lft-out` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

288.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
20.0ms	(/ 1.0 (* x 9.0))
27.0ms	(* 3.0 (sqrt x))

series187.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
26.0ms	(/ 1.0 (* x 9.0))
60.0ms	(* 3.0 (sqrt x))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	1536
1	432
0	163

prune946.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite226.0ms

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×	`insert-posit16` `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 → 90

Calls

4 calls:

19.0ms	(/ 1.0 (* x 9.0))
26.0ms	(* 3.0 (sqrt x))
26.0ms	(* 3.0 (sqrt x))
146.0ms	(* (+ y (/ 1.0 (* x 9.0))) (* 3.0 (sqrt x)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (* x 9.0))
56.0ms	(* 3.0 (sqrt x))
77.0ms	(* 3.0 (sqrt x))
125.0ms	(* (+ y (/ 1.0 (* x 9.0))) (* 3.0 (sqrt x)))

simplify2.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1316
1	383
0	152

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))

rewrite217.0ms

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×	`insert-posit16` `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 → 91

Calls

4 calls:

74.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
17.0ms	(/ 1.0 (* x 9.0))
16.0ms	(* 3.0 (sqrt x))
105.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ y (/ 1.0 (* x 9.0))) 3.0)
37.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* 3.0 (sqrt x))
120.0ms	(* (* (+ y (/ 1.0 (* x 9.0))) 3.0) (sqrt x))

simplify3.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1525
1	459
0	178

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3.0 y) (/ 0.3333333333333333 x))
0.0b	(+ (* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x)) (* (- 1.0) (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
6×	`associate-l`
4×	`insert-posit16` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`distribute-lft-neg-out` `+-commutative` `sum-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`unsub-neg`

Counts

4 → 74

Calls

4 calls:

17.0ms	(+ (* 3.0 y) (/ 0.3333333333333333 x))
35.0ms	(+ (* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x)) (* (- 1.0) (* 3.0 (sqrt x))))
13.0ms	(* 3.0 (sqrt x))
82.0ms	(* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x))

series410.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* 3.0 y) (/ 0.3333333333333333 x))
158.0ms	(+ (* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x)) (* (- 1.0) (* 3.0 (sqrt x))))
55.0ms	(* 3.0 (sqrt x))
115.0ms	(* (+ (* 3.0 y) (/ 0.3333333333333333 x)) (sqrt x))

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1476
1	419
0	151

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes578.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	34
3	34
2	27
1	23
0	15

end0.0ms

sample2.1s

Algorithm

intervals

Results

981.0ms	8580×	body	80	nan
570.0ms	8541×	body	80	valid