Details

sample115.0ms

Algorithm

intervals

Results

85.0ms

619×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2195
3	588
2	179
1	55
0	19

prune5.0ms

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)))

rewrite166.0ms

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:

91.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
34.0ms	(* (* a a) (+ 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
27.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
66.0ms	(* (* a a) (+ 1.0 a))
129.0ms	(pow (+ (* a a) (* b b)) 2.0)
93.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.0s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
1	790
0	237

prune729.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize94.0ms

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))))))

rewrite135.0ms

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:

30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
44.0ms	(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))))))
28.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

series853.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
280.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
258.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
239.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

simplify2.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	4070
1	665
0	198

prune967.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize102.0ms

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))

rewrite69.0ms

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:

44.0ms	(* (* 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))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series718.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
211.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
203.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
217.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1975
1	334
0	132

prune964.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize138.0ms

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))

rewrite57.0ms

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:

12.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series959.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
235.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
289.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
201.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.1s

Counts

88 → 88

Iterations

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

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes490.0ms

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

sample3.6s

Algorithm

intervals

Results

3.1s

20448×

body

valid