Details

sample133.0ms

Algorithm

intervals

Results

80.0ms	395×	body	80	valid
22.0ms	132×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	2000
5	639
4	204
3	87
2	47
1	26
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow k m) a)
0.0b	(* (+ k 10) k)
2.5b	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cbrt-cube`
11×	`associate-l`
10×	`add-cube-cbrt`
7×	`prod-exp`
6×	`associate-r`
5×	`pow1`
4×	`unpow-prod-down` `div-exp` `unswap-sqr`
3×	`associate-/r*` `times-frac` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow-to-exp` `cbrt-undiv` `flip3-+` `associate-l/` `pow-exp` `associate-/r/` `-commutative` `flip-+` `sqr-pow`
1×	`clear-num` `frac-2neg` `pow-prod-down` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 74

Calls

3 calls:

20.0ms	(* (pow k m) a)
30.0ms	(* (+ k 10) k)
35.0ms	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

series333.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(* (pow k m) a)
48.0ms	(* (+ k 10) k)
144.0ms	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	2018
3	2018
2	1397
1	425
0	165

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ k 10) k)
0.0b	(/ (/ (* (pow k m) a) (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
14.7b	(sqrt (+ (* (+ k 10) k) 1))
14.7b	(sqrt (+ (* (+ k 10) k) 1))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`sqrt-prod`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log`
20×	`sqrt-div`
16×	`associate-/r/`
15×	`add-cbrt-cube`
12×	`associate-/l*`
11×	`flip3-+` `flip-+`
9×	`div-exp`
8×	`pow1` `div-inv`
6×	`associate-/r*`
5×	`cbrt-undiv`
4×	`associate-l` `prod-exp` `insert-posit16` `add-log-exp`
3×	`associate-r`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `cbrt-unprod`
1×	`pow-to-exp` `clear-num` `frac-2neg` `pow-prod-down` `pow-exp` `*-commutative` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 166

Calls

4 calls:

26.0ms	(* (+ k 10) k)
83.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
30.0ms	(sqrt (+ (* (+ k 10) k) 1))
18.0ms	(sqrt (+ (* (+ k 10) k) 1))

series347.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ k 10) k)
174.0ms	(/ (/ (* (pow k m) a) (sqrt (+ (* (+ k 10) k) 1))) (sqrt (+ (* (+ k 10) k) 1)))
46.0ms	(sqrt (+ (* (+ k 10) k) 1))
46.0ms	(sqrt (+ (* (+ k 10) k) 1))

simplify1.5s

Counts

178 → 178

Iterations

Iter	Nodes
done	2000
2	2000
1	729
0	288

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ k 10) k)
0.2b	(* (* (+ k 10) k) (* (+ k 10) k))
0.5b	(/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1)))
17.2b	(* (/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1))) (- (* (+ k 10) k) 1))

rewrite670.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
44×	`add-exp-log`
32×	`add-cbrt-cube`
20×	`prod-exp`
19×	`pow-prod-down`
17×	`associate-*l/`
15×	`add-sqr-sqrt` `associate-l`
14×	`cbrt-unprod`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
8×	`times-frac` `div-exp`
7×	`flip3-+` `associate-r` `flip-+`
6×	`frac-times`
4×	`cbrt-undiv` `associate-/r` `flip3--` `associate-r/` `associate-/r/` `pow-sqr` `pow-prod-up` `insert-posit16` `flip--` `add-log-exp`
3×	`*-commutative` `difference-of-squares`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `pow-plus` `pow-exp` `div-inv` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `distribute-lft-out` `associate-/l*`

Counts

4 → 134

Calls

4 calls:

18.0ms	(* (+ k 10) k)
74.0ms	(* (* (+ k 10) k) (* (+ k 10) k))
146.0ms	(/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1)))
429.0ms	(* (/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1))) (- (* (+ k 10) k) 1))

series514.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (+ k 10) k)
29.0ms	(* (* (+ k 10) k) (* (+ k 10) k))
189.0ms	(/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1)))
221.0ms	(* (/ (* (pow k m) a) (- (* (* (+ k 10) k) (* (+ k 10) k)) (* 1 1))) (- (* (+ k 10) k) 1))

simplify2.0s

Counts

146 → 146

Iterations

Iter	Nodes
done	2003
2	2003
1	828
0	267

prune741.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* (* k k) (* k k)) a)
4.4b	(/ (exp (* (- (- (log k))) m)) (* k k))
7.5b	(/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))
10.9b	(+ (* 99 (/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))) (* (* (/ a k) (/ (exp (* (- (- (log k))) m)) (* k k))) -10))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube`
44×	`add-exp-log`
39×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-undiv` `div-exp`
17×	`prod-exp` `cbrt-unprod`
11×	`associate-/r*`
7×	`div-inv` `associate-/l*`
6×	`add-log-exp`
4×	`pow1` `associate-l/` `associate-r/` `insert-posit16`
3×	`clear-num` `frac-2neg` `frac-add`
2×	`distribute-lft-neg-out` `exp-neg` `associate-/l/`
1×	`frac-times` `+-commutative` `sum-log` `flip3-+` `associate-/r/` `flip-+`

Counts

4 → 122

Calls

4 calls:

45.0ms	(/ (* (* k k) (* k k)) a)
26.0ms	(/ (exp (* (- (- (log k))) m)) (* k k))
24.0ms	(/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))
76.0ms	(+ (* 99 (/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))) (* (* (/ a k) (/ (exp (* (- (- (log k))) m)) (* k k))) -10))

series596.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (* (* k k) (* k k)) a)
104.0ms	(/ (exp (* (- (- (log k))) m)) (* k k))
161.0ms	(/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))
282.0ms	(+ (* 99 (/ (exp (* (- (- (log k))) m)) (/ (* (* k k) (* k k)) a))) (* (* (/ a k) (/ (exp (* (- (- (log k))) m)) (* k k))) -10))

simplify1.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	2005
2	2005
1	841
0	276

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch88.0ms

Steps

Iters	Range		Point
7	6.593923002413134e+130	1.9332318344940968e+132	1.3655055884626073e+132

simplify26.0ms

Iterations

Iter	Nodes
done	64
5	64
4	62
3	57
2	53
1	49
0	34

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	11884×	body	80	valid
571.0ms	4184×	body	80	nan