Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	285×	body	80	nan
16.0ms	267×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(/ 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))

rewrite203.0ms

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:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
6.0ms	(/ 1.0 (* x 9.0))
173.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms	(* 3.0 (sqrt x))

series213.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ y (/ 1.0 (* x 9.0)))
24.0ms	(/ 1.0 (* x 9.0))
98.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
62.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2603
1	482
0	178

prune443.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite354.0ms

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:

13.0ms	(+ y (/ 1.0 (* x 9.0)))
171.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
9.0ms	(/ 1.0 (* x 9.0))
158.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (/ 1.0 (* x 9.0)))
74.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
24.0ms	(/ 1.0 (* x 9.0))
68.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2105
1	458
0	177

prune546.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

25.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))
68.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))
8.0ms	(* y (sqrt x))

series243.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))))
70.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))
57.0ms	(* y (sqrt x))

simplify1.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2563
1	542
0	204

prune581.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

32.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))))
127.0ms	(* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))
8.0ms	(* y (sqrt x))
9.0ms	(/ (/ 1.0 x) 9.0)

series258.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* 3.0 (+ (* y (sqrt x)) (* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))))
70.0ms	(* (- (/ (/ 1.0 x) 9.0) 1.0) (sqrt x))
55.0ms	(* y (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)

simplify1.7s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	3810
1	812
0	307

prune814.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes327.0ms

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

sample2.1s

Algorithm

intervals

Results

865.0ms	8545×	body	80	valid
656.0ms	8676×	body	80	nan