Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	273×	body	80	valid
10.0ms	240×	body	80	nan

simplify24.3s

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: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

108.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
9.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))
206.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
18.0ms	(/ 1.0 (* x 9.0))
42.0ms	(* 3.0 (sqrt x))
67.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.1s

Counts

149 → 149

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	229	2749
1	558	2360
2	1763	1987
done	5000	1834

prune573.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite538.0ms

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`
8×	`associate-l`
7×	`fma-neg` `associate-r`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `sqrt-prod` `log1p-expm1-u`
3×	`associate-/l*`
2×	`cbrt-undiv` `flip3-+` `associate-r/` `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 → 117

Calls

4 calls:

32.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
252.0ms	(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x))
13.0ms	(/ 1.0 (* x 9.0))
236.0ms	(* 3.0 (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
93.0ms	(* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))
90.0ms	(* 3.0 (* (+ y (- (/ 1.0 (* x 9.0)) 1.0)) (sqrt x)))

simplify1.3s

Counts

129 → 129

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	194	1987
1	458	1719
2	1440	1486
done	5000	1428

prune397.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (* x 9.0)) 1.0)
0.2b	(* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
0.3b	(/ 1.0 (* x 9.0))
0.4b	(* (* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0))) (sqrt x))

rewrite545.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

42.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
263.0ms	(* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
12.0ms	(/ 1.0 (* x 9.0))
224.0ms	(* (* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0))) (sqrt x))

series199.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
41.0ms	(* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
19.0ms	(/ 1.0 (* x 9.0))
87.0ms	(* (* 3.0 (+ y (- (/ 1.0 (* x 9.0)) 1.0))) (sqrt x))

simplify1.1s

Counts

130 → 130

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	204	1939
1	499	1676
2	1567	1433
done	5002	1384

prune391.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0)
0.1b	(fma y 3.0 (/ 0.3333333333333333 x))
0.3b	(* (- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0) (sqrt x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
6×	`associate-r`
5×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-prod`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod`

Counts

3 → 67

Calls

3 calls:

12.0ms	(- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0)
1.0ms	(fma y 3.0 (/ 0.3333333333333333 x))
35.0ms	(* (- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0) (sqrt x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0)
49.0ms	(fma y 3.0 (/ 0.3333333333333333 x))
101.0ms	(* (- (fma y 3.0 (/ 0.3333333333333333 x)) 3.0) (sqrt x))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	121	1138
1	250	1012
2	620	888
3	2684	826
done	5001	796

prune220.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes145.0ms

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	9	11
1	10	11
done	10	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8525×	body	80	valid
778.0ms	8291×	body	80	nan