Details

sample90.0ms

Algorithm

intervals

Results

70.0ms

652×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2029
6	2029
5	1889
4	575
3	160
2	62
1	29
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `add-exp-log`
8×	`fma-def` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `associate-r` `pow-exp` `*-commutative` `flip-+` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

73.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
20.0ms	(* 4 (* b b))
13.0ms	(pow (+ (* a a) (* b b)) 2)

series166.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
33.0ms	(* 4 (* b b))
51.0ms	(pow (+ (* a a) (* b b)) 2)

simplify806.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2005
3	2005
2	1093
1	296
0	102

prune294.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 136

Calls

4 calls:

82.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series544.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
122.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.0s

Counts

148 → 148

Iterations

Iter	Nodes
done	2022
4	2022
3	1423
2	598
1	258
0	126

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

9.3b	(cbrt (+ (* a a) (* b b)))
9.3b	(cbrt (+ (* a a) (* b b)))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series591.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (+ (* a a) (* b b)))
135.0ms	(cbrt (+ (* a a) (* b b)))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
165.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify974.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	541
1	203
0	91

prune801.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

9.3b	(cbrt (+ (* a a) (* b b)))
9.3b	(cbrt (+ (* a a) (* b b)))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cbrt (+ (* a a) (* b b)))
6.0ms	(cbrt (+ (* a a) (* b b)))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series561.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (+ (* a a) (* b b)))
141.0ms	(cbrt (+ (* a a) (* b b)))
136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify988.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	541
1	203
0	91

prune679.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes645.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.6s

20587×

body

valid