Details

sample99.0ms

Algorithm

intervals

Results

70.0ms

619×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3070
4	1269
3	422
2	153
1	51
0	18

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (+ 3.0 a))

rewrite165.0ms

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×	`associate-r`
10×	`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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

94.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
24.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
38.0ms	(* (* b b) (+ 3.0 a))

series327.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
70.0ms	(* (* a a) (- 1.0 a))
127.0ms	(pow (+ (* a a) (* b b)) 2.0)
38.0ms	(* (* b b) (+ 3.0 a))

simplify1.9s

Counts

106 → 106

Iterations

Iter	Nodes
done	5004
2	2907
1	686
0	215

prune651.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3.0 a))
10.7b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.7b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
10.7b	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
18×	`cbrt-div`
12×	`frac-add`
10×	`*-un-lft-identity` `flip3-+` `flip-+`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
6×	`flip3--` `flip--`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

42.0ms	(* (* b b) (+ 3.0 a))
22.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
16.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
21.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* b b) (+ 3.0 a))
183.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
155.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
189.0ms	(cbrt (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))

simplify1.6s

Counts

87 → 87

Iterations

Iter	Nodes
done	5003
2	1999
1	465
0	154

prune810.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 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))

rewrite64.0ms

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×	`associate-r` `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 → 69

Calls

4 calls:

29.0ms	(* (* b b) (+ 3.0 a))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series737.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* b b) (+ 3.0 a))
232.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
252.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
210.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.4s

Counts

81 → 81

Iterations

Iter	Nodes
done	5012
3	4419
2	895
1	263
0	105

prune641.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize129.0ms

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))

rewrite51.0ms

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:

11.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
15.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series797.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
211.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
199.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
191.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.9s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	1690
3	624
2	265
1	138
0	79

prune676.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s

20448×

body

valid