Details

sample79.0ms

Algorithm

intervals

Results

37.0ms	369×	body	80	valid
25.0ms	134×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2026
5	637
4	204
3	87
2	47
1	26
0	12

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ k 10) k) 1)
0.0b	(* (+ k 10) k)
0.0b	(* (pow k m) a)
1.7b	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(+ (* (+ k 10) k) 1)
29.0ms	(* (+ k 10) k)
10.0ms	(* (pow k m) a)
20.0ms	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

series376.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* (+ k 10) k) 1)
83.0ms	(* (+ k 10) k)
140.0ms	(* (pow k m) a)
121.0ms	(/ (* (pow k m) a) (+ (* (+ k 10) k) 1))

simplify3.4s

Counts

98 → 98

Iterations

Iter	Nodes
3	7430
2	1510
1	455
0	175

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ k 10) k)
0.0b	(* (pow k m) a)
0.1b	(/ 1 (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
1.7b	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
36×	`times-frac`
34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`div-exp`
22×	`add-cbrt-cube`
16×	`prod-exp`
11×	`associate-l`
8×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`unpow-prod-down` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-l/` `-commutative` `flip-+` `sqr-pow` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 137

Calls

4 calls:

15.0ms	(* (+ k 10) k)
8.0ms	(* (pow k m) a)
22.0ms	(/ 1 (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
56.0ms	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))

series497.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (+ k 10) k)
153.0ms	(* (pow k m) a)
143.0ms	(/ 1 (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
127.0ms	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))

simplify742.0ms

Counts

149 → 149

Iterations

Iter	Nodes
2	2119
1	648
0	256

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))
6.2b	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
6.2b	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
6.2b	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-exp-log`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`add-cbrt-cube`
4×	`pow1` `div-exp` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `associate-/l/`
1×	`pow-to-exp` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `pow-exp` `cbrt-unprod` `flip-+`

Counts

4 → 77

Calls

4 calls:

54.0ms	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))
8.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
8.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
12.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))

series788.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (+ (* (+ k 10) k) 1) (* (pow k m) a))
211.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
220.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))
228.0ms	(cbrt (/ (+ (* (+ k 10) k) 1) (* (pow k m) a)))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
3	4838
2	1225
1	406
0	160

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
1.7b	(/ (* (* (pow k m) (* (cbrt a) (cbrt a))) (cbrt a)) (+ (* (+ k 10) k) 1))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
16×	`prod-exp`
13×	`add-cbrt-cube`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`div-exp`
6×	`cbrt-unprod`
4×	`pow1` `cbrt-undiv` `insert-posit16` `add-log-exp`
3×	`associate-/r*` `times-frac` `pow1/3`
2×	`pow-to-exp` `pow-exp` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
121.0ms	(/ (* (* (pow k m) (* (cbrt a) (cbrt a))) (cbrt a)) (+ (* (+ k 10) k) 1))

series913.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt a)
216.0ms	(cbrt a)
272.0ms	(cbrt a)
142.0ms	(/ (* (* (pow k m) (* (cbrt a) (cbrt a))) (cbrt a)) (+ (* (+ k 10) k) 1))

simplify4.0s

Counts

80 → 80

Iterations

Iter	Nodes
3	10027
2	1580
1	443
0	151

prune1.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

91.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.0b

bsearch57.0ms

Steps

Iters	Range		Point
4	2.918413898265631e+145	5.705855339957324e+145	4.210367473372475e+145

simplify12.0ms

Iterations

Iter	Nodes
2	40
1	40
0	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	12057×	body	80	valid
495.0ms	4296×	body	80	nan