Details

sample116.0ms

Algorithm

intervals

Results

81.0ms

673×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1809
3	551
2	177
1	55
0	19

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

7.0ms	(+ (* a a) (* b b))
38.0ms	(* (* a a) (+ 1.0 a))
25.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)

series344.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a a) (* b b))
71.0ms	(* (* a a) (+ 1.0 a))
61.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
161.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2094
1	565
0	181

prune696.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* a a))
0.0b	(* (* a a) (+ 1.0 a))
0.3b	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* b b) (* a a)) 2.0)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

7.0ms	(+ (* b b) (* a a))
27.0ms	(* (* a a) (+ 1.0 a))
30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
9.0ms	(pow (+ (* b b) (* a a)) 2.0)

series324.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* b b) (* a a))
82.0ms	(* (* a a) (+ 1.0 a))
77.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
123.0ms	(pow (+ (* b b) (* a a)) 2.0)

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	2082
1	562
0	181

prune686.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize79.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 117

Calls

4 calls:

99.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series866.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
256.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
178.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
215.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
4	3190
3	1080
2	514
1	239
0	123

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize188.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

13.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
13.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series874.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
240.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
186.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
200.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
4	2065
3	725
2	305
1	158
0	96

prune692.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes501.0ms

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
done	27
1	27
0	19

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.4s

20710×

body

valid