Details

sample84.0ms

Algorithm

intervals

Results

59.0ms

642×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	2092
3	566
2	172
1	53
0	18

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
7×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

77.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
48.0ms	(* (* a a) (- 1.0 a))
13.0ms	(pow (+ (* a a) (* b b)) 2.0)
37.0ms	(* (* b b) (+ 3.0 a))

series361.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
60.0ms	(* (* a a) (- 1.0 a))
125.0ms	(pow (+ (* a a) (* b b)) 2.0)
55.0ms	(* (* b b) (+ 3.0 a))

simplify352.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
1	746
0	235

prune647.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

44.0ms	(* (* b b) (+ 3.0 a))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series634.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* b b) (+ 3.0 a))
193.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
222.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1774
1	287
0	109

prune711.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
7.3b	(cbrt (fma b b (* a a)))
7.3b	(cbrt (fma b b (* a a)))
7.3b	(cbrt (fma b b (* a a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

25.0ms	(* (* b b) (+ 3.0 a))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))
1.0ms	(cbrt (fma b b (* a a)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* b b) (+ 3.0 a))
126.0ms	(cbrt (fma b b (* a a)))
139.0ms	(cbrt (fma b b (* a a)))
115.0ms	(cbrt (fma b b (* a a)))

simplify996.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1594
1	245
0	87

prune601.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (* a (* a (pow b 2))) 2 (pow a 4)) (pow b 4))
0.0b	(fma (* a (* a (pow b 2))) 2 (pow a 4))
0.5b	(* a (* a (pow b 2)))
0.8b	(* a (pow b 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(+ (fma (* a (* a (pow b 2))) 2 (pow a 4)) (pow b 4))
0.0ms	(fma (* a (* a (pow b 2))) 2 (pow a 4))
16.0ms	(* a (* a (pow b 2)))
10.0ms	(* a (pow b 2))

series189.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (fma (* a (* a (pow b 2))) 2 (pow a 4)) (pow b 4))
60.0ms	(fma (* a (* a (pow b 2))) 2 (pow a 4))
36.0ms	(* a (* a (pow b 2)))
38.0ms	(* a (pow b 2))

simplify606.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1314
1	279
0	114

prune389.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.1s

20748×

body

valid