Details

sample79.0ms

Algorithm

intervals

Results

22.0ms	296×	body	80	nan
21.0ms	272×	body	80	valid

simplify24.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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)))
0.3b	(* (* 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))

rewrite209.0ms

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:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
176.0ms	(* (* 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))

series166.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ 1.0 (* x 9.0)))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
48.0ms	(* 3.0 (sqrt x))
22.0ms	(/ 1.0 (* x 9.0))

simplify999.0ms

Counts

131 → 131

Iterations

Useful iterations: done (995.0ms)

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

prune267.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite605.0ms

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:

48.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
305.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
8.0ms	(/ 1.0 (* x 9.0))
237.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
69.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
17.0ms	(/ 1.0 (* x 9.0))
88.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify1.3s

Counts

135 → 135

Iterations

Useful iterations: done (1.3s)

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

prune382.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite378.0ms

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:

143.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
16.0ms	(+ y (/ 0.1111111111111111 x))
199.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
15.0ms	(* 3.0 (sqrt x))

series196.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (+ y (/ 0.1111111111111111 x)) 1.0)
44.0ms	(+ y (/ 0.1111111111111111 x))
74.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
45.0ms	(* 3.0 (sqrt x))

simplify1.1s

Counts

143 → 143

Iterations

Useful iterations: done (1.1s)

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

prune345.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-*r/` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `fma-udef`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))) (- 1.0))
8.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ 1.0 (* x 9.0))
39.0ms	(* 3.0 (* (sqrt x) (+ (fma (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))) (- 1.0)) y)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(fma (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))) (- 1.0))
19.0ms	(/ 1.0 (* x 9.0))
32.0ms	(/ 1.0 (* x 9.0))
207.0ms	(* 3.0 (* (sqrt x) (+ (fma (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))) (- 1.0)) y)))

simplify1.1s

Counts

94 → 94

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	163	1437
1	402	1071
2	1496	880
done	5000	872

prune394.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

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

sample2.3s

Algorithm

intervals

Results

935.0ms	8579×	body	80	nan
754.0ms	8538×	body	80	valid