Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	278×	body	80	nan
11.0ms	272×	body	80	valid

simplify25.5s

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

localize17.0ms

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

rewrite309.0ms

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:

18.0ms	(+ y (/ 1.0 (* x 9.0)))
266.0ms	(* (* 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))

series213.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ y (/ 1.0 (* x 9.0)))
91.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
59.0ms	(* 3.0 (sqrt x))
26.0ms	(/ 1.0 (* x 9.0))

simplify1.3s

Counts

131 → 131

Iterations

Useful iterations: done (1.3s)

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

prune322.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 3.0 (* (sqrt x) (+ (- (/ 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))

rewrite720.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

276.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))
428.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
12.0ms	(/ 1.0 (* x 9.0))

series198.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y)))
88.0ms	(* (sqrt x) (+ (- (/ 1.0 (* x 9.0)) 1.0) y))
30.0ms	(/ 1.0 (* x 9.0))

simplify994.0ms

Counts

88 → 88

Iterations

Useful iterations: done (991.0ms)

Iter	Nodes	Cost
0	150	1233
1	373	1188
2	1379	1046
done	5001	1034

prune228.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 3.0 (* (sqrt x) (+ (- (/ (/ 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)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 128

Calls

3 calls:

486.0ms	(* 3.0 (* (sqrt x) (+ (- (/ (/ 1.0 x) 9.0) 1.0) y)))
646.0ms	(* (sqrt x) (+ (- (/ (/ 1.0 x) 9.0) 1.0) y))
11.0ms	(/ (/ 1.0 x) 9.0)

series209.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(* 3.0 (* (sqrt x) (+ (- (/ (/ 1.0 x) 9.0) 1.0) y)))
84.0ms	(* (sqrt x) (+ (- (/ (/ 1.0 x) 9.0) 1.0) y))
27.0ms	(/ (/ 1.0 x) 9.0)

simplify1.1s

Counts

137 → 137

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	250	1910
1	593	1819
2	1805	1675
done	5001	1669

prune370.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3.0 (* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y)))
0.2b	(* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y))

rewrite604.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
6×	`add-cube-cbrt` `associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--`

Counts

2 → 56

Calls

2 calls:

294.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y)))
309.0ms	(* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y))

series187.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* 3.0 (* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y)))
78.0ms	(* (sqrt x) (+ (- (/ 0.1111111111111111 x) 1.0) y))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	104	908
1	276	866
2	1057	774
done	5000	762

prune174.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

914.0ms	8553×	body	80	nan
574.0ms	8566×	body	80	valid