Details

sample96.0ms

Algorithm

intervals

Results

61.0ms

642×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 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)) 2.0) (* 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))

rewrite151.0ms

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:

73.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
35.0ms	(* (* a a) (- 1.0 a))
12.0ms	(pow (+ (* a a) (* b b)) 2.0)
26.0ms	(* (* b b) (+ 3.0 a))

series341.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
55.0ms	(* (* a a) (- 1.0 a))
112.0ms	(pow (+ (* a a) (* b b)) 2.0)
44.0ms	(* (* b b) (+ 3.0 a))

simplify801.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
1	746
0	235

prune705.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

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))

rewrite63.0ms

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:

37.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series649.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* b b) (+ 3.0 a))
205.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
202.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
188.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1774
1	287
0	109

prune868.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize126.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.6b	(sqrt (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))

rewrite52.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

19.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(sqrt (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))

series760.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
181.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
188.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5003
4	3355
3	891
2	323
1	148
0	83

prune815.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.6b	(sqrt (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))

rewrite61.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

20.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series809.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
188.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
221.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5003
4	3355
3	891
2	323
1	148
0	83

prune977.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.0s

20748×

body

valid