Details

sample73.0ms

Algorithm

intervals

Results

21.0ms	272×	body	80	valid
20.0ms	258×	body	80	nan

simplify2.0s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

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))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `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 → 84

Calls

4 calls:

11.0ms	(+ y (/ 1.0 (* x 9.0)))
548.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
26.0ms	(/ 1.0 (* x 9.0))
17.0ms	(* 3.0 (sqrt x))

series201.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
78.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
26.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (sqrt x))

simplify1.0s

Counts: 96 → 96

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite589.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

20.0ms	(+ y (/ 1.0 (* x 9.0)))
307.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
241.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (/ 1.0 (* x 9.0)))
73.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(/ 1.0 (* x 9.0))
91.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify972.0ms

Counts: 110 → 110

prune344.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))
0.2b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
6×	`add-log-exp`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

38.0ms	(+ y (/ (/ 1.0 x) 9.0))
377.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
18.0ms	(/ (/ 1.0 x) 9.0)
18.0ms	(* 3.0 (sqrt x))

series228.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ y (/ (/ 1.0 x) 9.0))
89.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
33.0ms	(/ (/ 1.0 x) 9.0)
70.0ms	(* 3.0 (sqrt x))

simplify1.2s

Counts: 145 → 145

prune400.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (sqrt x))
0.3b	(/ 1.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ (/ 1 (sqrt x)) (/ 9.0 (/ 1.0 (sqrt x))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

5654×	`times-frac`
2403×	`add-sqr-sqrt`
2399×	`add-cube-cbrt` `*-un-lft-identity`
1297×	`sqrt-prod`
167×	`div-inv`
83×	`associate-/r*`
51×	`add-exp-log`
33×	`div-exp`
31×	`add-cbrt-cube`
28×	`associate-/l*`
24×	`associate-/r/`
17×	`cbrt-undiv`
8×	`pow1`
6×	`associate-r`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-flip` `frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `inv-pow`

Counts

4 → 1791

Calls

4 calls:

7.0ms	(/ 1 (sqrt x))
11.0ms	(/ 1.0 (sqrt x))
18.0ms	(* 3.0 (sqrt x))
101.0ms	(/ (/ 1 (sqrt x)) (/ 9.0 (/ 1.0 (sqrt x))))

series194.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (sqrt x))
62.0ms	(/ 1.0 (sqrt x))
43.0ms	(* 3.0 (sqrt x))
40.0ms	(/ (/ 1 (sqrt x)) (/ 9.0 (/ 1.0 (sqrt x))))

simplify1.8s

Counts: 1803 → 1803

prune7.7s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.9s

end0.0ms

sample2.2s

Algorithm

intervals

Results

970.0ms	8485×	body	80	valid
668.0ms	8141×	body	80	nan