Details

sample172.0ms

Algorithm

intervals

Results

21.0ms	41×	body	1280	valid
13.0ms	146×	body	80	valid
12.0ms	36×	body	640	valid
5.0ms	256×	pre	80	true
5.0ms	20×	body	320	valid
2.0ms	13×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

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

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 65

Calls

3 calls:

14.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series525.0ms

Counts

3 → 9

Calls

3 calls:

284.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
138.0ms	(* e (sin v))
103.0ms	(* e (cos v))

simplify1.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1551
1	312
0	123

prune418.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`sqrt-prod`
59×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`flip3-+` `flip-+` `associate-/l/`

Counts

4 → 166

Calls

4 calls:

10.0ms	(/ (* (sin v) e) (sqrt (fma (cos v) e 1.0)))
28.0ms	(/ (/ (* (sin v) e) (sqrt (fma (cos v) e 1.0))) (sqrt (+ 1.0 (* e (cos v)))))
9.0ms	(* (sin v) e)
7.0ms	(* e (cos v))

series531.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(/ (* (sin v) e) (sqrt (fma (cos v) e 1.0)))
213.0ms	(/ (/ (* (sin v) e) (sqrt (fma (cos v) e 1.0))) (sqrt (+ 1.0 (* e (cos v)))))
50.0ms	(* (sin v) e)
64.0ms	(* e (cos v))

simplify1.5s

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
2	3348
1	699
0	277

prune956.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

5.0ms	(/ (fma (cos v) e 1.0) (sin v))
12.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (fma (cos v) e 1.0) (sin v))
106.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune673.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma e (cos v) 1.0))
0.0b	(/ (sqrt (fma e (cos v) 1.0)) e)
0.0b	(* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e))
0.2b	(/ (/ (sin v) 1) (* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

71×	`times-frac`
66×	`add-sqr-sqrt`
49×	`*-un-lft-identity` `add-cube-cbrt`
41×	`add-exp-log`
32×	`add-cbrt-cube` `sqrt-prod`
22×	`associate-r`
20×	`div-exp`
19×	`associate-/l*`
13×	`cbrt-undiv`
8×	`prod-exp`
7×	`pow1`
6×	`associate-l` `cbrt-unprod` `unswap-sqr`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`1-exp`
2×	`clear-num` `frac-2neg` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 162

Calls

4 calls:

1.0ms	(sqrt (fma e (cos v) 1.0))
11.0ms	(/ (sqrt (fma e (cos v) 1.0)) e)
18.0ms	(* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e))
18.0ms	(/ (/ (sin v) 1) (* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e)))

series464.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (fma e (cos v) 1.0))
152.0ms	(/ (sqrt (fma e (cos v) 1.0)) e)
70.0ms	(* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e))
127.0ms	(/ (/ (sin v) 1) (* (sqrt (fma e (cos v) 1.0)) (/ (sqrt (fma e (cos v) 1.0)) e)))

simplify534.0ms

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
1	823
0	298

prune767.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.8s	1492×	body	1280	valid
732.0ms	1246×	body	640	valid
598.0ms	4319×	body	80	valid
463.0ms	331×	body	160	valid
322.0ms	612×	body	320	valid
210.0ms	8000×	pre	80	true