Details

sample34.0ms

Algorithm

intervals

Results

11.0ms	301×	body	80	valid
7.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
1.0ms	9×	body	320	valid
0.0ms	1×	body	160	valid

simplify97.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

18.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
21.0ms	(* (- y x) 6.0)
73.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series178.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms	(* (- y x) 6.0)
49.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify55.0ms

Counts: 97 → 97

prune207.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
8×	`associate-+r+` `flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

17.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
49.0ms	(* 6.0 (- (/ 2.0 3.0) z))
70.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ 2.0 3.0) z)
68.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
40.0ms	(* 6.0 (- (/ 2.0 3.0) z))
51.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify46.0ms

Counts: 109 → 109

prune218.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- z))
0.3b	(* (/ 2.0 3.0) (* (- y x) 6.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-l`
22×	`*-un-lft-identity`
18×	`pow1` `add-cube-cbrt`
17×	`associate-r`
13×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow-prod-down`
5×	`flip3--` `flip--`
4×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 109

Calls

4 calls:

22.0ms	(* (- y x) 6.0)
22.0ms	(* (- y x) 6.0)
38.0ms	(* (* (- y x) 6.0) (- z))
48.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- y x) 6.0)
35.0ms	(* (- y x) 6.0)
36.0ms	(* (* (- y x) 6.0) (- z))
36.0ms	(* (/ 2.0 3.0) (* (- y x) 6.0))

simplify59.0ms

Counts: 121 → 121

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series863.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt z) (cbrt z))
199.0ms	(cbrt z)
214.0ms	(cbrt z)
204.0ms	(cbrt z)

simplify85.0ms

Counts: 85 → 85

prune259.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

537.0ms	9504×	body	80	valid
328.0ms	251×	body	640	valid
22.0ms	128×	body	1280	valid
21.0ms	203×	body	320	valid
7.0ms	104×	body	160	valid