Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

300×

body

valid

simplify4.0s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(+ (* x y) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

38.0ms	(+ (+ (* x y) x) y)
8.0ms	(+ (* x y) x)

series72.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ (* x y) x) y)
53.0ms	(+ (* x y) x)

simplify941.0ms

Counts: 31 → 31

prune431.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

72.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
11.0ms	(cbrt (+ (* x y) x))
11.0ms	(cbrt (+ (* x y) x))
12.0ms	(cbrt (+ (* x y) x))

series356.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
92.0ms	(cbrt (+ (* x y) x))
102.0ms	(cbrt (+ (* x y) x))
79.0ms	(cbrt (+ (* x y) x))

simplify718.0ms

Counts: 99 → 99

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (* x y) x))
0.0b	(sqrt (+ (* x y) x))
0.3b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

8.0ms	(+ (* x y) x)
16.0ms	(sqrt (+ (* x y) x))
14.0ms	(sqrt (+ (* x y) x))
55.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* x y) x)
58.0ms	(sqrt (+ (* x y) x))
46.0ms	(sqrt (+ (* x y) x))
45.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify467.0ms

Counts: 110 → 110

prune246.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) x)))
0.4b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`sqrt-div` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

7.0ms	(cbrt (sqrt (+ (* x y) x)))
65.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
8.0ms	(cbrt (+ (* x y) x))
11.0ms	(cbrt (+ (* x y) x))

series405.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (sqrt (+ (* x y) x)))
121.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
98.0ms	(cbrt (+ (* x y) x))
87.0ms	(cbrt (+ (* x y) x))

simplify1.1s

Counts: 102 → 102

prune535.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.2s

end0.0ms

sample731.0ms

Algorithm

intervals

Results

411.0ms	9137×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid