Details

sample61.0ms

Algorithm

intervals

Results

17.0ms	296×	body	80	nan
16.0ms	272×	body	80	valid

simplify25.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	64	14
3	188	14
4	400	14
5	616	14
6	995	14
7	1394	14
8	1866	14
9	2606	14
10	3634	14
11	4214	14
12	4310	14
13	4311	14
done	4311	14

prune3.0ms

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

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
24×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`fma-def` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `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 → 119

Calls

4 calls:

19.0ms	(+ y (/ 1.0 (* x 9.0)))
271.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(* 3.0 (sqrt x))
9.0ms	(/ 1.0 (* x 9.0))

series198.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ y (/ 1.0 (* x 9.0)))
79.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
45.0ms	(* 3.0 (sqrt x))
29.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1825	1666
done	5001	1567

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite765.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
11×	`pow1`
9×	`associate-l`
7×	`fma-neg`
6×	`associate-r/` `associate-r*` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `log1p-expm1-u`
3×	`associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `flip--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

31.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
376.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
8.0ms	(/ 1.0 (* x 9.0))
344.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
85.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
28.0ms	(/ 1.0 (* x 9.0))
74.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify1.2s

Counts

135 → 135

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	2061
1	496	1795
2	1637	1562
done	5002	1510

prune394.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
36×	`prod-diff`
31×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
3×	`sub-neg` `fma-def` `associate--l+`
2×	`flip3--` `diff-log` `associate-r/` `sum-log` `-commutative` `flip--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 131

Calls

4 calls:

104.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
20.0ms	(+ y (/ 0.1111111111111111 x))
224.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
11.0ms	(* 3.0 (sqrt x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
32.0ms	(+ y (/ 0.1111111111111111 x))
78.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
55.0ms	(* 3.0 (sqrt x))

simplify1.3s

Counts

143 → 143

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	204	2455
1	524	2059
2	1560	1738
done	5000	1619

prune368.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite820.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`add-sqr-sqrt`
24×	`pow1`
21×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`times-frac`
13×	`associate-l`
12×	`swap-sqr`
11×	`associate-r`
8×	`sqrt-pow1` `pow1/2`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
5×	`associate-*r/` `pow-prod-up`
4×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `sqrt-div` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `flip3-+` `pow-plus` `sqrt-unprod` `associate-*l/` `rem-square-sqrt` `flip-+`

Counts

4 → 138

Calls

4 calls:

10.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ 1.0 (* x 9.0))
725.0ms	(* 3.0 (* (sqrt x) (+ (- (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0)))) 1.0) y)))
65.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (* x 9.0))
32.0ms	(/ 1.0 (* x 9.0))
200.0ms	(* 3.0 (* (sqrt x) (+ (- (* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0)))) 1.0) y)))
76.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify1.3s

Counts

150 → 150

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	227	2290
1	507	1550
2	1810	1345
done	5000	1326

prune508.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	16	14
done	16	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8579×	body	80	nan
714.0ms	8538×	body	80	valid