Details

sample364.0ms

Algorithm

intervals

Results

123.0ms	50×	body	1280	valid
30.0ms	32×	body	640	valid
29.0ms	138×	body	80	valid
16.0ms	24×	body	320	valid
13.0ms	256×	pre	80	true
6.0ms	12×	body	160	valid

simplify46.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	24
5	24
4	23
3	21
2	18
1	16
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

24.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
7.0ms	(* e (cos v))
9.0ms	(* e (sin v))

series241.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
61.0ms	(* e (cos v))
51.0ms	(* e (sin v))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
3	3249
2	786
1	268
0	114

prune746.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (/ (sin v) (+ 1 (* e (cos v)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

19.0ms	(/ (sin v) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
30.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))

series265.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sin v) (+ 1 (* e (cos v))))
56.0ms	(* e (cos v))
129.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
3	3268
2	1077
1	355
0	149

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

7.0ms	(* e (cos v))
43.0ms	(/ (+ 1 (* e (cos v))) (sin v))
18.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* e (cos v))
114.0ms	(/ (+ 1 (* e (cos v))) (sin v))
94.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify2.4s

Counts

129 → 129

Iterations

Iter	Nodes
3	4765
2	1399
1	528
0	216

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

58.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
26.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
15.0ms	(* (sqrt e) (sin v))

series399.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
58.0ms	(* e (cos v))
66.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
122.0ms	(* (sqrt e) (sin v))

simplify5.5s

Counts

102 → 102

Iterations

Iter	Nodes
3	10075
2	1753
1	491
0	188

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	9

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	1498×	body	1280	valid
1.1s	1250×	body	640	valid
845.0ms	4317×	body	80	valid
354.0ms	8000×	pre	80	true
324.0ms	624×	body	320	valid
143.0ms	311×	body	160	valid