Details

sample160.0ms

Algorithm: halfpoints

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5033
9	4781
8	2253
7	1221
6	423
5	178
4	114
3	80
2	48
1	30
0	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos y) (exp x))
0.0b	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

28.0ms	(* (cos y) (exp x))
42.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
20.0ms	(/ (cos y) (exp x))

series179.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (cos y) (exp x))
94.0ms	(+ (/ (cos y) (exp x)) (* (cos y) (exp x)))
36.0ms	(/ (cos y) (exp x))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5081
3	2453
2	684
1	240
0	104

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (exp x)) (exp x))
0.0b	(/ 1 (exp x))
0.0b	(* (cos y) (+ (/ 1 (exp x)) (exp x)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

38.0ms	(+ (/ 1 (exp x)) (exp x))
13.0ms	(/ 1 (exp x))
94.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (/ 1 (exp x)) (exp x))
8.0ms	(/ 1 (exp x))
62.0ms	(* (cos y) (+ (/ 1 (exp x)) (exp x)))

simplify2.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5005
3	4054
2	884
1	294
0	123

prune337.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))
0.1b	(exp (/ (cos y) (exp x)))
0.4b	(log (exp (/ (cos y) (exp x))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
26×	`exp-prod`
16×	`log-pow`
8×	`add-exp-log` `add-log-exp`
7×	`pow1`
6×	`log-prod` `add-cbrt-cube`
4×	`insert-posit16` `distribute-lft-out`
3×	`associate-+l+` `associate-/r` `div-inv` `associate-/l`
2×	`sum-log` `div-exp` `rem-log-exp` `associate-l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `flip3-+` `flip-+` `rem-exp-log`

Counts

4 → 98

Calls

4 calls:

119.0ms	(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
11.0ms	(/ (cos y) (exp x))
25.0ms	(exp (/ (cos y) (exp x)))
24.0ms	(log (exp (/ (cos y) (exp x))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (log (exp (/ (cos y) (exp x)))) (* (cos y) (exp x)))
43.0ms	(/ (cos y) (exp x))
48.0ms	(exp (/ (cos y) (exp x)))
51.0ms	(log (exp (/ (cos y) (exp x))))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
3	2255
2	755
1	275
0	141

prune597.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.3b	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
0.5b	(/ (+ (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
20.2b	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

rewrite8.9s

Algorithm

rewrite-expression-head

Rules

1291×	`*-un-lft-identity`
921×	`associate-l`
503×	`add-sqr-sqrt`
452×	`distribute-lft-out`
402×	`times-frac`
324×	`frac-times`
263×	`add-cube-cbrt`
260×	`associate-/l*`
259×	`associate-/r*`
230×	`distribute-lft-out--`
204×	`associate-/r/`
202×	`frac-add`
129×	`*-commutative`
114×	`unswap-sqr`
106×	`associate-r`
102×	`flip3--` `flip--`
85×	`clear-num`
81×	`frac-2neg` `div-inv`
80×	`cube-unmult` `pow3` `sum-cubes`
54×	`add-exp-log`
45×	`difference-of-squares`
41×	`distribute-rgt-out--`
36×	`swap-sqr` `associate-l/` `associate-r/`
30×	`add-cbrt-cube`
25×	`div-exp`
18×	`pow1` `prod-exp`
9×	`cbrt-undiv`
8×	`un-div-inv` `cbrt-unprod`
6×	`add-log-exp`
4×	`insert-posit16`
2×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log`

Counts

4 → 991

Calls

4 calls:

64.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
93.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
7.9s	(/ (+ (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
618.0ms	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
47.0ms	(* (/ (cos y) (exp x)) (/ (cos y) (exp x)))
401.0ms	(/ (+ (* (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (/ (cos y) (exp x)) (/ (cos y) (exp x))))) (+ (* (/ (cos y) (exp x)) (/ (cos y) (exp x))) (- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))))
103.0ms	(- (* (* (cos y) (exp x)) (* (cos y) (exp x))) (* (/ (cos y) (exp x)) (* (cos y) (exp x))))

simplify4.0s

Counts

1003 → 1003

Iterations

Iter	Nodes
done	5000
1	3886
0	1107

prune4.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	10

end0.0ms

sample5.7s

Algorithm: halfpoints