Details

sample183.0ms

Algorithm

intervals

Results

156.0ms

641×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	5430
4	1574
3	532
2	183
1	56
0	19

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

28×	`flip3-+` `flip-+`
22×	`associate-*l/`
18×	`pow1`
16×	`add-sqr-sqrt` `frac-add`
13×	`add-cbrt-cube` `add-exp-log`
12×	`frac-times`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`associate-*r/`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16`
3×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `*-commutative` `unswap-sqr`
2×	`associate-+r+`
1×	`pow2` `+-commutative` `sum-log` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 109

Calls

4 calls:

22.0ms	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
137.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
26.0ms	(* (* b b) -3)
35.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
80.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
49.0ms	(* (* b b) -3)
43.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify2.0s

Counts

121 → 121

Iterations

Iter	Nodes
2	3713
1	823
0	243

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
20×	`add-sqr-sqrt`
16×	`associate-*l/`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 120

Calls

4 calls:

46.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
86.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
62.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
68.0ms	(sqrt (+ (* a a) (* b b)))
51.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.0s

Counts

132 → 132

Iterations

Iter	Nodes
3	6231
2	1618
1	427
0	157

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
10.0b	(sqrt (+ (* a a) (* b b)))

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1`
11×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3-+` `sqrt-prod` `flip-+`
2×	`sqrt-div` `associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2`

Counts

4 → 71

Calls

4 calls:

54.0ms	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
556.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
20.0ms	(* (* b b) -3)
13.0ms	(sqrt (+ (* a a) (* b b)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (* (+ (* b b) (* a (+ (* (* b b) -3) (+ (* a a) a)))) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
62.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
46.0ms	(* (* b b) -3)
53.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.9s

Counts

83 → 83

Iterations

Iter	Nodes
3	8419
2	1618
1	450
0	156

prune988.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
0.6b	(* (+ (* a a) (* b b)) (* b b))
1.0b	(* (+ (* a a) (* b b)) (* a a))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 87

Calls

4 calls:

119.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
26.0ms	(* (* b b) -3)
28.0ms	(* (+ (* a a) (* b b)) (* b b))
39.0ms	(* (+ (* a a) (* b b)) (* a a))

series247.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
28.0ms	(* (* b b) -3)
74.0ms	(* (+ (* a a) (* b b)) (* b b))
64.0ms	(* (+ (* a a) (* b b)) (* a a))

simplify7.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	11297
2	1922
1	461
0	147

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	27
1	27
0	18

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.2s

20350×

body

valid