Details

sample120.0ms

Algorithm

intervals

Results

100.0ms

579×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	785
2	201
1	58
0	19

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize69.0ms

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

rewrite188.0ms

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:

82.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
49.0ms	(* (* a a) (+ 1 a))
45.0ms	(* (* b b) (- 1 (* 3 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2)

series346.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
80.0ms	(* (* a a) (+ 1 a))
70.0ms	(* (* b b) (- 1 (* 3 a)))
38.0ms	(pow (+ (* a a) (* b b)) 2)

simplify625.0ms

Counts

118 → 118

Iterations

Iter	Nodes
done	2000
1	569
0	191

prune600.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 3 a))
0.1b	(fma (* a a) a (* a a))
0.1b	(* (* b b) (- 1 (* 3 a)))
0.3b	(* (fma b b (* a a)) (fma b b (* a a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `swap-sqr` `fma-udef`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`pow2` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up`

Counts

4 → 96

Calls

4 calls:

10.0ms	(- 1 (* 3 a))
0.0ms	(fma (* a a) a (* a a))
58.0ms	(* (* b b) (- 1 (* 3 a)))
13.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- 1 (* 3 a))
105.0ms	(fma (* a a) a (* a a))
66.0ms	(* (* b b) (- 1 (* 3 a)))
50.0ms	(* (fma b b (* a a)) (fma b b (* a a)))

simplify824.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2000
2	1173
1	371
0	143

prune653.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fma b b (* a a))) (* (sqrt (fma b b (* a a))) (fma b b (* a a))))
0.2b	(* (sqrt (fma b b (* a a))) (fma b b (* a a)))
10.8b	(sqrt (fma b b (* a a)))
10.8b	(sqrt (fma b b (* a a)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
19×	`add-sqr-sqrt`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
8×	`fma-udef`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

22.0ms	(* (sqrt (fma b b (* a a))) (* (sqrt (fma b b (* a a))) (fma b b (* a a))))
14.0ms	(* (sqrt (fma b b (* a a))) (fma b b (* a a)))
10.0ms	(sqrt (fma b b (* a a)))
2.0ms	(sqrt (fma b b (* a a)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (sqrt (fma b b (* a a))) (* (sqrt (fma b b (* a a))) (fma b b (* a a))))
130.0ms	(* (sqrt (fma b b (* a a))) (fma b b (* a a)))
61.0ms	(sqrt (fma b b (* a a)))
69.0ms	(sqrt (fma b b (* a a)))

simplify627.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2000
2	784
1	275
0	108

prune718.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 3 a))
0.1b	(fma (* a a) a (* a a))
0.1b	(* (* b b) (- 1 (* 3 a)))
10.8b	(sqrt (fma b b (* a a)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

14.0ms	(- 1 (* 3 a))
0.0ms	(fma (* a a) a (* a a))
26.0ms	(* (* b b) (- 1 (* 3 a)))
1.0ms	(sqrt (fma b b (* a a)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1 (* 3 a))
103.0ms	(fma (* a a) a (* a a))
54.0ms	(* (* b b) (- 1 (* 3 a)))
58.0ms	(sqrt (fma b b (* a a)))

simplify529.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2003
2	984
1	296
0	121

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20362×

body

valid