Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	nan
13.0ms	287×	body	80	valid

simplify928.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x (/ 1.0 2.0)) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

36.0ms	(+ (- 1.0 z) (log z))
36.0ms	(+ (* x (/ 1.0 2.0)) (* y (+ (- 1.0 z) (log z))))
104.0ms	(* y (+ (- 1.0 z) (log z)))

series444.0ms

Counts

3 → 9

Calls

3 calls:

247.0ms	(+ (- 1.0 z) (log z))
92.0ms	(+ (* x (/ 1.0 2.0)) (* y (+ (- 1.0 z) (log z))))
105.0ms	(* y (+ (- 1.0 z) (log z)))

simplify728.0ms

Counts: 72 → 72

prune275.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x (/ 1.0 2.0)) (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

40.0ms	(* y (- 1.0 z))
61.0ms	(+ (* x (/ 1.0 2.0)) (+ (* y (- 1.0 z)) (* y (log z))))
30.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
9.0ms	(* y (log z))

series325.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (- 1.0 z))
105.0ms	(+ (* x (/ 1.0 2.0)) (+ (* y (- 1.0 z)) (* y (log z))))
132.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
51.0ms	(* y (log z))

simplify960.0ms

Counts: 100 → 100

prune289.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (/ 1.0 2.0)) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z)))))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.2b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
0.3b	(* y (log (sqrt z)))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-+r+` `associate-r`
12×	`pow1` `sqrt-prod`
11×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
5×	`log-pow` `distribute-lft-out`
4×	`flip3-+` `associate-*r/` `sum-log` `flip-+`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 100

Calls

4 calls:

93.0ms	(+ (* x (/ 1.0 2.0)) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z)))))
133.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
54.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
17.0ms	(* y (log (sqrt z)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(+ (* x (/ 1.0 2.0)) (+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z)))))
98.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
117.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
107.0ms	(* y (log (sqrt z)))

simplify1.3s

Counts: 112 → 112

prune345.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (log (sqrt z)) (* 2 (log (cbrt (sqrt z)))))
0.2b	(* y (log (cbrt (sqrt z))))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
36×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`sqrt-prod`
18×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

19.0ms	(+ (log (sqrt z)) (* 2 (log (cbrt (sqrt z)))))
19.0ms	(* y (log (cbrt (sqrt z))))
3.0ms	(cbrt (sqrt z))
3.0ms	(cbrt (sqrt z))

series773.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(+ (log (sqrt z)) (* 2 (log (cbrt (sqrt z)))))
170.0ms	(* y (log (cbrt (sqrt z))))
200.0ms	(cbrt (sqrt z))
202.0ms	(cbrt (sqrt z))

simplify1.4s

Counts: 113 → 113

prune598.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes165.0ms

Accuracy

1.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify923.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

833.0ms	9060×	body	80	nan
771.0ms	9155×	body	80	valid