Details

sample70.0ms

Algorithm

intervals

Results

23.0ms	273×	body	80	valid
18.0ms	266×	body	80	nan

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	180	14
4	330	14
5	480	14
6	697	14
7	992	14
8	1346	14
9	1873	14
10	2421	14
11	2835	14
12	2889	14
done	2889	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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	(* 3.0 (sqrt x))
0.6b	(/ 1.0 (* x 9.0))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
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` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

15.0ms	(+ y (/ 1.0 (* x 9.0)))
235.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms	(* 3.0 (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ y (/ 1.0 (* x 9.0)))
113.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
47.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify929.0ms

Counts

96 → 96

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	178	1134
1	452	1044
2	1588	934
done	5001	926

prune218.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

17.0ms	(+ y (/ 0.1111111111111111 x))
164.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
15.0ms	(* 3.0 (sqrt x))

series176.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ y (/ 0.1111111111111111 x))
79.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
60.0ms	(* 3.0 (sqrt x))

simplify1.0s

Counts

72 → 72

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	140	849
1	373	784
2	1239	700
done	5001	692

prune156.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (/ 0.1111111111111111 x))
0.2b	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.4b	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

15×	`distribute-rgt-in` `distribute-lft-in`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
7×	`add-cube-cbrt` `associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `difference-of-squares`

Counts

3 → 77

Calls

3 calls:

15.0ms	(+ y (/ 0.1111111111111111 x))
172.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
164.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ y (/ 0.1111111111111111 x))
59.0ms	(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
93.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	139	1195
1	343	1138
2	1184	1040
done	5001	1028

prune250.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ 0.1111111111111111 x) 1.0) (sqrt x))
0.2b	(* (sqrt x) y)
0.3b	(* 3.0 (* (sqrt x) y))
0.3b	(* 3.0 (* (- (/ 0.1111111111111111 x) 1.0) (sqrt x)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-r`
8×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`associate-l/` `-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--`

Counts

4 → 87

Calls

4 calls:

77.0ms	(* (- (/ 0.1111111111111111 x) 1.0) (sqrt x))
10.0ms	(* (sqrt x) y)
44.0ms	(* 3.0 (* (sqrt x) y))
96.0ms	(* 3.0 (* (- (/ 0.1111111111111111 x) 1.0) (sqrt x)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (- (/ 0.1111111111111111 x) 1.0) (sqrt x))
93.0ms	(* (sqrt x) y)
77.0ms	(* 3.0 (* (sqrt x) y))
107.0ms	(* 3.0 (* (- (/ 0.1111111111111111 x) 1.0) (sqrt x)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1135
1	395	1053
2	1376	921
done	5000	901

prune285.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8656×	body	80	nan
623.0ms	8563×	body	80	valid