Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	255×	body	80	nan
11.0ms	257×	body	80	valid

simplify134.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

120.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
32.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

series388.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
276.0ms	(* (+ y 0.5) (log y))

simplify38.0ms

Counts: 72 → 72

prune175.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
0.0b	(+ (- (* (+ y 0.5) (log y)) y) z)
0.1b	(- (* (+ y 0.5) (log y)) y)
0.1b	(* (+ y 0.5) (log y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

91.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
58.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
19.0ms	(- (* (+ y 0.5) (log y)) y)
22.0ms	(* (+ y 0.5) (log y))

series889.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
60.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
496.0ms	(- (* (+ y 0.5) (log y)) y)
276.0ms	(* (+ y 0.5) (log y))

simplify40.0ms

Counts: 99 → 99

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series850.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt y) (cbrt y))
206.0ms	(cbrt y)
219.0ms	(cbrt y)
207.0ms	(cbrt y)

simplify86.0ms

Counts: 85 → 85

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (+ (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y) z))
0.1b	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
28×	`*-un-lft-identity`
27×	`distribute-rgt-in` `distribute-lft-in`
25×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
15×	`add-log-exp`
14×	`sqrt-div` `associate-l`
12×	`pow1` `associate--l+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
5×	`diff-log` `associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`sub-neg` `flip3--` `associate-r/` `sum-log` `-commutative` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`associate-+l-` `log-pow` `associate--r+` `associate--r-` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

337.0ms	(- x (+ (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y) z))
52.0ms	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
58.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
24.0ms	(* (sqrt (+ y 0.5)) (log y))

series912.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- x (+ (- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y) z))
510.0ms	(- (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))) y)
276.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
64.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify53.0ms

Counts: 129 → 129

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

681.0ms	8041×	body	80	valid
482.0ms	7960×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid