Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
14.0ms	269×	body	80	nan

simplify1.6s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

8.0ms	(- x (* (+ y 0.5) (log y)))
126.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
27.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms	(* (+ y 0.5) (log y))

series566.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- x (* (+ y 0.5) (log y)))
70.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
57.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
389.0ms	(* (+ y 0.5) (log y))

simplify710.0ms

Counts: 93 → 93

prune356.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

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

series1.0s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt y) (cbrt y))
249.0ms	(cbrt y)
249.0ms	(cbrt y)
252.0ms	(cbrt y)

simplify848.0ms

Counts: 85 → 85

prune345.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
4.9b	(pow y (/ 1 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
12×	`pow1`
9×	`times-frac`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

19.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y (/ 1 3))

series965.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt y) (cbrt y))
266.0ms	(cbrt y)
239.0ms	(cbrt y)
216.0ms	(pow y (/ 1 3))

simplify1.8s

Counts: 101 → 101

prune507.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
5.0b	(pow (pow y (sqrt (/ 1 3))) (sqrt (/ 1 3)))
5.8b	(pow y (sqrt (/ 1 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow-unpow`
26×	`sqrt-prod`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
7×	`add-exp-log`
6×	`cbrt-prod`
5×	`pow1` `pow-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow1/3` `div-inv`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(pow (pow y (sqrt (/ 1 3))) (sqrt (/ 1 3)))
5.0ms	(pow y (sqrt (/ 1 3)))

series1.4s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt y)
250.0ms	(cbrt y)
506.0ms	(pow (pow y (sqrt (/ 1 3))) (sqrt (/ 1 3)))
349.0ms	(pow y (sqrt (/ 1 3)))

simplify1.3s

Counts: 100 → 100

prune588.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample2.2s

Algorithm

intervals

Results

923.0ms	7986×	body	80	nan
588.0ms	8032×	body	80	valid
1.0ms	2×	body	1280	valid