Details

sample170.0ms

Algorithm

intervals

Results

143.0ms

620×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
16×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`flip3-+` `flip-+`
7×	`associate-l`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-times` `associate-*r/` `insert-posit16`
3×	`swap-sqr` `*-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `pow-plus` `distribute-rgt-out` `pow-sqr` `pow-prod-up`

Counts

4 → 93

Calls

4 calls:

10.0ms	(+ (* a a) a)
120.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
15.0ms	(* (* b b) -3)
40.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* a a) a)
57.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
44.0ms	(* (* b b) -3)
54.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify821.0ms

Counts

105 → 105

Iterations

Iter	Nodes
2	2413
1	558
0	166

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* (* b b) -3)
8.6b	(sqrt (+ (* a a) (* b b)))
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`-un-lft-identity` `associate-r*` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `associate-l` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

108.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
14.0ms	(* (* b b) -3)
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
40.0ms	(* (* b b) -3)
51.0ms	(sqrt (+ (* a a) (* b b)))
57.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.0s

Counts

118 → 118

Iterations

Iter	Nodes
3	5584
2	1573
1	467
0	167

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) a)
0.1b	(* a (+ (* (* b b) -3) (+ (* a a) a)))
0.2b	(* (* b b) -3)
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity`
8×	`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` `distribute-lft1-in` `sqrt-pow1` `distribute-rgt-out` `pow1/2`

Counts

4 → 73

Calls

4 calls:

13.0ms	(+ (* a a) a)
122.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
14.0ms	(* (* b b) -3)
9.0ms	(sqrt (+ (* a a) (* b b)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* a a) a)
68.0ms	(* a (+ (* (* b b) -3) (+ (* a a) a)))
34.0ms	(* (* b b) -3)
46.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.2s

Counts

85 → 85

Iterations

Iter	Nodes
3	8489
2	1466
1	383
0	136

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* -3 (* b b))
8.6b	(sqrt (+ (* a a) (* b b)))
8.6b	(sqrt (+ (* a a) (* b b)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
7×	`associate-r`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

103.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
25.0ms	(* -3 (* b b))
9.0ms	(sqrt (+ (* a a) (* b b)))
11.0ms	(sqrt (+ (* a a) (* b b)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
29.0ms	(* -3 (* b b))
43.0ms	(sqrt (+ (* a a) (* b b)))
41.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.6s

Counts

118 → 118

Iterations

Iter	Nodes
3	7057
2	1625
1	462
0	165

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	27
1	27
0	18

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.3s

20611×

body

valid