Details

sample74.0ms

Algorithm

intervals

Results

48.0ms

644×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1716
3	492
2	161
1	53
0	19

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

126.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
49.0ms	(* (* a a) (+ 1.0 a))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
95.0ms	(* (* a a) (+ 1.0 a))
191.0ms	(pow (+ (* a a) (* b b)) 2.0)
77.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify854.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
1	716
0	211

prune673.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

25.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series754.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
187.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
236.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
262.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify958.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1456
1	275
0	110

prune644.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize108.0ms

Local error

Found 4 expressions with local error:

22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series974.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
213.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
272.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
4	2379
3	592
2	211
1	103
0	57

prune864.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

13.9b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.9b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

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

series907.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
196.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
227.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
266.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
4	3600
3	900
2	309
1	141
0	79

prune961.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes595.0ms

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

sample4.3s

Algorithm

intervals

Results

3.4s

20523×

body

valid