Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
8.0ms	260×	body	80	nan

simplify110.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

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))
0.5b	(/ 1.0 (* x 9.0))

rewrite174.0ms

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:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
144.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(* 3.0 (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series141.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
63.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
35.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify56.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484
done	5002	484

prune192.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.5b	(/ 1.0 (* x 9.0))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+` `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` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ y (/ 1.0 (* x 9.0)))
164.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
148.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms	(/ 1.0 (* x 9.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
56.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
17.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	427	770
1	1858	694
2	5002	694
done	5002	694

prune212.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.4b	(* (cbrt 3.0) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

250.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
42.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
11.0ms	(* (cbrt 3.0) (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
64.0ms	(* (cbrt 3.0) (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify87.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	573	1128
1	3010	841
2	5001	776
done	5001	776

prune251.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
0.3b	(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
0.3b	(* (sqrt (cbrt 3.0)) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log`
31×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
25×	`pow-prod-down`
22×	`sqrt-prod`
20×	`prod-exp` `cbrt-unprod`
19×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-prod` `associate-r`
6×	`unswap-sqr`
5×	`sqrt-pow1` `pow1/2`
4×	`add-log-exp`
3×	`times-frac` `sqrt-unprod` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 111

Calls

4 calls:

102.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
35.0ms	(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
15.0ms	(* (sqrt (cbrt 3.0)) (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))

series234.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x))))
63.0ms	(* (sqrt (cbrt 3.0)) (* (sqrt (cbrt 3.0)) (sqrt x)))
75.0ms	(* (sqrt (cbrt 3.0)) (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify69.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	539	906
1	2540	729
2	5001	668
done	5001	668

prune292.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13
done	26	13

end0.0ms

sample880.0ms

Algorithm

intervals

Results

262.0ms	8537×	body	80	valid
253.0ms	8437×	body	80	nan