Details

sample184.0ms

Algorithm

intervals

Results

153.0ms

659×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	5568
4	1638
3	539
2	179
1	54
0	19

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -12 (* a (* b b)))
0.3b	(* a (* b b))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up`
6×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `unswap-sqr`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 107

Calls

4 calls:

30.0ms	(* (* a a) a)
38.0ms	(* -12 (* a (* b b)))
26.0ms	(* a (* b b))
52.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* a a) a)
58.0ms	(* -12 (* a (* b b)))
39.0ms	(* a (* b b))
65.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify677.0ms

Counts

119 → 119

Iterations

Iter	Nodes
2	2064
1	485
0	147

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.3b	(* a (* b b))
8.3b	(sqrt (+ (* a a) (* b b)))
8.3b	(sqrt (+ (* a a) (* b b)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

67.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
37.0ms	(* a (* b b))
13.0ms	(sqrt (+ (* a a) (* b b)))
14.0ms	(sqrt (+ (* a a) (* b b)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
32.0ms	(* a (* b b))
45.0ms	(sqrt (+ (* a a) (* b b)))
63.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.4s

Counts

102 → 102

Iterations

Iter	Nodes
3	6759
2	1327
1	362
0	117

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -12 (* a (* b b)))
0.3b	(* a (* b b))
8.3b	(sqrt (+ (* a a) (* b b)))
8.3b	(sqrt (+ (* a a) (* b b)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `sqrt-prod`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r` `*-commutative` `flip-+`
1×	`unswap-sqr`

Counts

4 → 74

Calls

4 calls:

73.0ms	(* -12 (* a (* b b)))
29.0ms	(* a (* b b))
13.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* -12 (* a (* b b)))
47.0ms	(* a (* b b))
60.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
3	3724
2	737
1	235
0	93

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

10.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series1.6s

Counts

4 → 12

Calls

4 calls:

705.0ms	(* (cbrt a) (cbrt a))
293.0ms	(cbrt a)
298.0ms	(cbrt a)
313.0ms	(cbrt a)

simplify993.0ms

Counts

89 → 89

Iterations

Iter	Nodes
4	2748
3	814
2	309
1	132
0	63

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	20

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.7s

20389×

body

valid