Details

sample75.0ms

Algorithm

intervals

Results

42.0ms

655×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3678
5	427
4	120
3	66
2	40
1	25
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow-unpow` `unpow-prod-down` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

12.0ms	(+ (* a a) (* b b))
28.0ms	(* 4.0 (* b b))
85.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series328.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* a a) (* b b))
45.0ms	(* 4.0 (* b b))
90.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
162.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	2065
1	380
0	117

prune772.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
20.2b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
20.2b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
20.2b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

105.0ms	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
7.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
9.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
7.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series842.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (pow (+ (* b b) (* a a)) 2.0)) (cbrt (pow (+ (* b b) (* a a)) 2.0)))
198.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
234.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
215.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify929.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	984
1	237
0	119

prune826.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* a a))
1.9b	(* (* 2 (* a a)) (* b b))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-l`
3×	`*-un-lft-identity` `add-cube-cbrt`
2×	`associate-r` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 47

Calls

2 calls:

13.0ms	(* 2 (* a a))
78.0ms	(* (* 2 (* a a)) (* b b))

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* 2 (* a a))
71.0ms	(* (* 2 (* a a)) (* b b))

simplify963.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
2	1541
1	223
0	67

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 2.0)
0.0b	(* 4.0 (* b b))
0.0b	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
1.9b	(* (* a a) (* (* b b) 2.0))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
3×	`sum-log` `*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 79

Calls

4 calls:

15.0ms	(* (* b b) 2.0)
21.0ms	(* 4.0 (* b b))
390.0ms	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
74.0ms	(* (* a a) (* (* b b) 2.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* b b) 2.0)
52.0ms	(* 4.0 (* b b))
97.0ms	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
66.0ms	(* (* a a) (* (* b b) 2.0))

simplify2.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2939
1	400
0	123

prune329.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.1s

20671×

body

valid