Details

sample201.0ms

Algorithm: halfpoints

simplify8.3s

Counts

1 → 1

Iterations

Iter	Nodes
9	2395
8	1716
7	1070
6	418
5	175
4	113
3	78
2	46
1	30
0	16

prune14.0ms

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

18.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
11.0ms	(* (exp x) (cos y))
16.0ms	(/ (cos y) (exp x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ (cos y) (exp x)) (* (exp x) (cos y)))
37.0ms	(* (exp x) (cos y))
71.0ms	(/ (cos y) (exp x))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
3	2538
2	759
1	236
0	99

prune627.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
14.5b	(- (exp x) (exp (- x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

9.0ms	(+ (exp x) (exp (- x)))
43.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
49.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
14.0ms	(- (exp x) (exp (- x)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (exp x) (exp (- x)))
80.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
104.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
67.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
3	4948
2	1643
1	513
0	200

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
145.0ms	(cbrt (cos y))
109.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
4	3948
3	985
2	331
1	139
0	66

prune550.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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
2	12
1	12
0	9

end0.0ms

sample5.5s

Algorithm: halfpoints