Details

sample170.0ms

Algorithm

intervals

Results

25.0ms	47×	body	1280	valid
13.0ms	40×	body	640	valid
11.0ms	134×	body	80	valid
6.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	11×	body	160	valid

simplify56.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

19.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
14.0ms	(* e (sin v))

series242.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
50.0ms	(* e (cos v))
60.0ms	(* e (sin v))

simplify2.6s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3656	614
done	5000	614

prune257.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e e) (pow (cos v) 2))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.3b	(pow (cos v) 2)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow1`
7×	`unpow-prod-down` `associate-l`
6×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-prod-down` `pow-exp` `*-commutative` `unpow2` `sqr-pow`
1×	`pow2` `pow-pow`

Counts

4 → 92

Calls

4 calls:

35.0ms	(* (* e e) (pow (cos v) 2))
9.0ms	(* e (cos v))
16.0ms	(* e (sin v))
6.0ms	(pow (cos v) 2)

series189.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* e e) (pow (cos v) 2))
45.0ms	(* e (cos v))
57.0ms	(* e (sin v))
23.0ms	(pow (cos v) 2)

simplify2.8s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	128	812
1	278	736
2	764	631
3	2599	603
done	5001	603

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.3b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
17.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (fma (cos v) e 1.0) (sin v))
132.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	197	1980
1	426	1894
2	1315	1785
3	4104	1777
done	5000	1777

prune488.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

10.0ms	(/ e (fma (cos v) e 1.0))
37.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

series250.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ e (fma (cos v) e 1.0))
153.0ms	(* (/ e (fma (cos v) e 1.0)) (sin v))

simplify2.4s

Counts

69 → 69

Iterations

Useful iterations: 3 (985.0ms)

Iter	Nodes	Cost
0	127	985
1	297	963
2	895	859
3	2921	853
done	5000	853

prune246.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	1523×	body	1280	valid
1.0s	4310×	body	80	valid
773.0ms	1224×	body	640	valid
365.0ms	622×	body	320	valid
341.0ms	8000×	pre	80	true
134.0ms	321×	body	160	valid