Details

sample189.0ms

Algorithm

intervals

Results

27.0ms	44×	body	1280	valid
19.0ms	53×	body	640	valid
11.0ms	124×	body	80	valid
6.0ms	26×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify85.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* e (cos v)))
0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*` `fma-def` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ 1.0 (* e (cos v)))
40.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms	(* e (cos v))
18.0ms	(* e (sin v))

series289.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ 1.0 (* e (cos v)))
114.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
54.0ms	(* e (cos v))
54.0ms	(* e (sin v))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1797
1	339
0	134

prune619.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* e (cos v)) 1.0)
0.0b	(/ (* e (sin v)) (+ (* e (cos v)) 1.0))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

13.0ms	(+ (* e (cos v)) 1.0)
16.0ms	(/ (* e (sin v)) (+ (* e (cos v)) 1.0))
6.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series335.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* e (cos v)) 1.0)
141.0ms	(/ (* e (sin v)) (+ (* e (cos v)) 1.0))
65.0ms	(* e (cos v))
65.0ms	(* e (sin v))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1605
1	338
0	133

prune579.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma e (cos v) 1.0) (sin v))
0.2b	(/ e (/ (fma e (cos v) 1.0) (sin v)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

8.0ms	(/ (fma e (cos v) 1.0) (sin v))
8.0ms	(/ e (/ (fma e (cos v) 1.0) (sin v)))

series262.0ms

Counts

2 → 6

Calls

2 calls:

134.0ms	(/ (fma e (cos v) 1.0) (sin v))
127.0ms	(/ e (/ (fma e (cos v) 1.0) (sin v)))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2285
1	486
0	197

prune792.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt e) (fma e (cos v) 1.0))
0.2b	(* (/ (sqrt e) (fma e (cos v) 1.0)) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
28×	`associate-l`
25×	`sqrt-prod`
19×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

3 → 109

Calls

3 calls:

5.0ms	(/ (sqrt e) (fma e (cos v) 1.0))
51.0ms	(* (/ (sqrt e) (fma e (cos v) 1.0)) (* (sqrt e) (sin v)))
25.0ms	(* (sqrt e) (sin v))

series413.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(/ (sqrt e) (fma e (cos v) 1.0))
158.0ms	(* (/ (sqrt e) (fma e (cos v) 1.0)) (* (sqrt e) (sin v)))
106.0ms	(* (sqrt e) (sin v))

simplify1.5s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	3140
1	642
0	232

prune637.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	1509×	body	1280	valid
718.0ms	1265×	body	640	valid
453.0ms	4275×	body	80	valid
210.0ms	639×	body	320	valid
205.0ms	8000×	pre	80	true
130.0ms	312×	body	160	valid