Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	318×	body	80	nan
8.0ms	271×	body	80	valid

simplify18.7s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

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

rewrite222.0ms

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:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
184.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* 3.0 (sqrt x))

series145.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
65.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms	(/ 1.0 (* x 9.0))
37.0ms	(* 3.0 (sqrt x))

simplify902.0ms

Counts

131 → 131

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	230	2240
1	575	1933
2	1828	1666
done	5002	1567

prune245.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite681.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

124.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
292.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
9.0ms	(/ 1.0 (* x 9.0))
251.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (/ 1.0 (* x 9.0)) 1.0) y)
62.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
17.0ms	(/ 1.0 (* x 9.0))
62.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))

simplify728.0ms

Counts

136 → 136

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	179	1789
1	438	1668
2	1506	1388
done	5001	1382

prune350.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.1b	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
0.3b	(/ 1.0 (* x 9.0))
0.4b	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

rewrite619.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

12.0ms	(+ y (/ 1.0 (* x 9.0)))
264.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
9.0ms	(/ 1.0 (* x 9.0))
332.0ms	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 1.0 (* x 9.0)))
33.0ms	(* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0)
17.0ms	(/ 1.0 (* x 9.0))
76.0ms	(* (* (- (+ y (/ 1.0 (* x 9.0))) 1.0) 3.0) (sqrt x))

simplify726.0ms

Counts

102 → 102

Iterations

Useful iterations: done (723.0ms)

Iter	Nodes	Cost
0	169	1297
1	407	1223
2	1418	1079
done	5000	1073

prune270.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
0.4b	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
14.0ms	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

series109.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma 3.0 y (- (/ 0.3333333333333333 x) 3.0))
74.0ms	(* (fma 3.0 y (- (/ 0.3333333333333333 x) 3.0)) (sqrt x))

simplify967.0ms

Counts

40 → 40

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	69	552
1	142	526
2	393	468
3	1524	462
done	5000	459

prune99.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes76.0ms

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

sample974.0ms

Algorithm

intervals

Results

275.0ms	8539×	body	80	valid
273.0ms	8763×	body	80	nan