Details

sample153.0ms

Algorithm

intervals

Results

128.0ms

592×

body

valid

simplify2.5s

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ a 3) (* b b))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.1b	(* a (* a a))
0.0b	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)

rewrite565.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cube-cbrt`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`associate-*l/` `pow-prod-up`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr`
2×	`pow2` `pow-plus` `associate-*r/` `pow-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `cube-unmult` `flip--` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

Slowest

474.0ms	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)
39.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
35.0ms	(* (+ a 3) (* b b))
16.0ms	(* a (* a a))

series236.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

74.0ms	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)
66.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
52.0ms	(* (+ a 3) (* b b))
43.0ms	(* a (* a a))

simplify885.0ms

Counts: 117 → 117

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
0.8b	(* (+ a 3) (* b b))
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`pow1`
12×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-div` `associate-l` `add-cube-cbrt` `sqrt-prod`
9×	`flip3-+` `flip-+`
4×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`rem-sqrt-square` `pow-plus` `associate-r/` `-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `distribute-lft-in` `cube-unmult` `distribute-lft-out`

Counts

4 → 93

Calls

4 calls:

Slowest

68.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
33.0ms	(* (+ a 3) (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
63.0ms	(* (+ a 3) (* b b))
49.0ms	(sqrt (+ (* a a) (* b b)))
47.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.5s

Counts: 105 → 105

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
9.0b	(sqrt (+ (* a a) (* b b)))
0.8b	(* (+ a 3) (* b b))
0.2b	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
19×	`associate-r`
16×	`*-un-lft-identity` `sqrt-div`
14×	`add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod` `associate-l`
9×	`flip3-+` `flip-+`
6×	`cube-div` `prod-exp`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `pow-prod-up` `distribute-lft-out`

Counts

4 → 113

Calls

4 calls:

Slowest

52.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
26.0ms	(* (+ a 3) (* b b))
7.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

49.0ms	(sqrt (+ (* a a) (* b b)))
48.0ms	(* (+ a 3) (* b b))
47.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
46.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts: 125 → 125

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (+ (* a a) (* b b)))
0.8b	(* (+ a 3) (* b b))
0.1b	(* a (* a a))
0.0b	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r` `pow-prod-up`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod` `unswap-sqr`
2×	`flip3-+` `sqrt-div` `flip-+`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `flip3--` `pow1/2` `cube-unmult` `pow-sqr` `flip--` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

Slowest

290.0ms	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)
25.0ms	(* (+ a 3) (* b b))
17.0ms	(* a (* a a))
6.0ms	(sqrt (+ (* a a) (* b b)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(* (- (+ (* (+ a 3) (* b b)) (* a a)) (* a (* a a))) 4)
45.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(* (+ a 3) (* b b))
40.0ms	(* a (* a a))

simplify1.8s

Counts: 97 → 97

prune880.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

3.1s

20613×

body

valid