Details

sample177.0ms

Algorithm

intervals

Results

145.0ms

620×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
4	2206
3	663
2	197
1	58
0	19

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`fma-def`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`unpow-prod-down` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

64.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
30.0ms	(* (* a a) (+ 1 a))
42.0ms	(* (* b b) (- 1 (* 3 a)))
14.0ms	(pow (+ (* a a) (* b b)) 2)

series351.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
69.0ms	(* (* a a) (+ 1 a))
70.0ms	(* (* b b) (- 1 (* 3 a)))
51.0ms	(pow (+ (* a a) (* b b)) 2)

simplify4.7s

Counts

118 → 118

Iterations

Iter	Nodes
3	7911
2	1895
1	542
0	191

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.2b	(fma (* b b) (* b b) (* (* a a) (+ (* a a) (* (* b b) 2))))
0.2b	(* (* b b) (- 1 (* 3 a)))
1.8b	(* (* a a) (+ (* a a) (* (* b b) 2)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-r`
9×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`prod-diff` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+`
1×	`flip3--` `fma-udef` `flip--` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

27.0ms	(* (* a a) (+ 1 a))
0.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* a a) (* (* b b) 2))))
23.0ms	(* (* b b) (- 1 (* 3 a)))
33.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* a a) (+ 1 a))
97.0ms	(fma (* b b) (* b b) (* (* a a) (+ (* a a) (* (* b b) 2))))
92.0ms	(* (* b b) (- 1 (* 3 a)))
87.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

simplify5.5s

Counts

110 → 110

Iterations

Iter	Nodes
3	7579
2	1886
1	552
0	175

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* a (* a (+ (* a a) (* (* b b) 2))))
0.2b	(* a (+ (* a a) (* (* b b) 2)))
0.2b	(fma (* b b) (* b b) (* a (* a (+ (* a a) (* (* b b) 2)))))
0.2b	(* (* b b) (- 1 (* 3 a)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
8×	`associate-*r/`
7×	`associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `flip3-+` `flip-+` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 97

Calls

4 calls:

39.0ms	(* a (* a (+ (* a a) (* (* b b) 2))))
23.0ms	(* a (+ (* a a) (* (* b b) 2)))
0.0ms	(fma (* b b) (* b b) (* a (* a (+ (* a a) (* (* b b) 2)))))
28.0ms	(* (* b b) (- 1 (* 3 a)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* a (* a (+ (* a a) (* (* b b) 2))))
90.0ms	(* a (+ (* a a) (* (* b b) 2)))
86.0ms	(fma (* b b) (* b b) (* a (* a (+ (* a a) (* (* b b) 2)))))
59.0ms	(* (* b b) (- 1 (* 3 a)))

simplify4.1s

Counts

109 → 109

Iterations

Iter	Nodes
3	7291
2	1682
1	462
0	169

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

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)

rewrite10.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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 → 85

Calls

4 calls:

7.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series835.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt a) (cbrt a))
210.0ms	(cbrt a)
198.0ms	(cbrt a)
201.0ms	(cbrt a)

simplify946.0ms

Counts

97 → 97

Iterations

Iter	Nodes
4	2982
3	985
2	342
1	136
0	67

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes511.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	35
1	35
0	22

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.4s

20611×

body

valid