Details

sample75.0ms

Algorithm

intervals

Results

60.0ms

659×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

91.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
21.0ms	(+ (* a a) (* b b))
14.0ms	(* 4 (* b b))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series234.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
41.0ms	(+ (* a a) (* b b))
49.0ms	(* 4 (* b b))
65.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	2009
3	2009
2	1586
1	384
0	121

prune946.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (+ (* a a) (* b b))) 2)
0.3b	(fma (pow (sqrt (+ (* a a) (* b b))) 2) (pow (sqrt (+ (* a a) (* b b))) 2) (* 4 (* b b)))
8.3b	(sqrt (+ (* a a) (* b b)))
8.3b	(sqrt (+ (* a a) (* b b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
8×	`pow1`
6×	`unpow-prod-down`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `hypot-def`
1×	`pow-to-exp` `pow-exp` `fma-udef` `sqrt-pow2` `unpow2` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

16.0ms	(pow (sqrt (+ (* a a) (* b b))) 2)
0.0ms	(fma (pow (sqrt (+ (* a a) (* b b))) 2) (pow (sqrt (+ (* a a) (* b b))) 2) (* 4 (* b b)))
17.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(pow (sqrt (+ (* a a) (* b b))) 2)
153.0ms	(fma (pow (sqrt (+ (* a a) (* b b))) 2) (pow (sqrt (+ (* a a) (* b b))) 2) (* 4 (* b b)))
61.0ms	(sqrt (+ (* a a) (* b b)))
49.0ms	(sqrt (+ (* a a) (* b b)))

simplify899.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2000
3	2000
2	625
1	250
0	97

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
18.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite145.0ms

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:

112.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series522.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
113.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
139.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

Counts

148 → 148

Iterations

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

prune2.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))
18.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite34.0ms

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:

4.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series857.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* a a) (* b b)))
138.0ms	(cbrt (+ (* a a) (* b b)))
122.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
491.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify882.0ms

Counts

82 → 82

Iterations

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

prune1.1s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.7s

20389×

body

valid