Details

sample85.0ms

Algorithm

intervals

Results

56.0ms

619×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

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)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `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 → 106

Calls

4 calls:

83.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
38.0ms	(* (* a a) (+ 1.0 a))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)
45.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
69.0ms	(* (* a a) (+ 1.0 a))
142.0ms	(pow (+ (* a a) (* b b)) 2.0)
72.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	3276
1	748
0	237

prune764.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize120.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
18×	`cbrt-div`
12×	`frac-add`
9×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `flip3--` `add-cube-cbrt` `flip--`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

24.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
30.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
27.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
29.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

series958.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
275.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
313.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
263.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

simplify2.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2973
1	657
0	198

prune981.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

34.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
709.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
271.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
230.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.0s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	3632
2	940
1	321
0	132

prune781.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize175.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite65.0ms

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:

29.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series997.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
243.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
256.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
249.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
4	1734
3	665
2	286
1	145
0	83

prune973.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes526.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s

20448×

body

valid