Details

sample130.0ms

Algorithm

intervals

Results

46.0ms	256×	body	80	valid
35.0ms	204×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	4926
3	827
2	162
1	46
0	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5 (* v v))
0.3b	(* PI t)
0.3b	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.4b	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`frac-times` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `sqrt-prod` `div-inv`

Counts

4 → 98

Calls

4 calls:

13.0ms	(* 5 (* v v))
6.0ms	(* PI t)
135.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
60.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 5 (* v v))
24.0ms	(* PI t)
531.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
253.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify3.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5076
2	3360
1	717
0	233

prune583.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 2) PI) t)
0.3b	(/ (/ 1 t) (* (sqrt 2) PI))
4.3b	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
6.3b	(/ (* v v) t)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

129×	`add-exp-log`
119×	`add-cbrt-cube`
65×	`prod-exp`
63×	`cbrt-unprod`
35×	`times-frac`
32×	`div-exp`
26×	`cbrt-undiv`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`associate-/l*`
9×	`pow1`
5×	`associate-/r*` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down`
2×	`rec-exp` `1-exp`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 142

Calls

4 calls:

17.0ms	(* (* (sqrt 2) PI) t)
10.0ms	(/ (/ 1 t) (* (sqrt 2) PI))
109.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
18.0ms	(/ (* v v) t)

series372.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* (sqrt 2) PI) t)
102.0ms	(/ (/ 1 t) (* (sqrt 2) PI))
160.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
23.0ms	(/ (* v v) t)

simplify2.8s

Counts

154 → 154

Iterations

Iter	Nodes
done	5031
2	4756
1	776
0	256

prune762.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 2) PI) t)
0.3b	(/ 1 (* (* (sqrt 2) PI) t))
4.3b	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
6.3b	(/ (* v v) t)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-exp-log`
116×	`add-cbrt-cube`
70×	`prod-exp`
64×	`cbrt-unprod`
26×	`div-exp`
23×	`cbrt-undiv`
15×	`pow1`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac`
6×	`pow-prod-down`
5×	`associate-/r` `associate-/l`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `div-inv` `pow-flip`
1×	`associate-l` `*-commutative` `inv-pow`

Counts

4 → 125

Calls

4 calls:

18.0ms	(* (* (sqrt 2) PI) t)
55.0ms	(/ 1 (* (* (sqrt 2) PI) t))
140.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
18.0ms	(/ (* v v) t)

series477.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (* (sqrt 2) PI) t)
107.0ms	(/ 1 (* (* (sqrt 2) PI) t))
208.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
36.0ms	(/ (* v v) t)

simplify2.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5003
2	4322
1	647
0	201

prune467.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* v v) t) (* (sqrt 2) PI))
0.2b	(* (* (sqrt 2) PI) t)
4.3b	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
6.3b	(/ (* v v) t)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-cbrt-cube` `add-exp-log`
66×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
17×	`times-frac`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `associate-/l*`
5×	`associate-/r*` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `pow-prod-down`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 130

Calls

4 calls:

28.0ms	(/ (/ (* v v) t) (* (sqrt 2) PI))
36.0ms	(* (* (sqrt 2) PI) t)
98.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
18.0ms	(/ (* v v) t)

series458.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (/ (* v v) t) (* (sqrt 2) PI))
115.0ms	(* (* (sqrt 2) PI) t)
163.0ms	(/ (* (* (* v v) (* v v)) 53/8) (* (* (sqrt 2) PI) t))
30.0ms	(/ (* v v) t)

simplify2.8s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	4864
1	698
0	211

prune614.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.7s	7789×	body	80	nan