Details

sample387.0ms

Algorithm

intervals

Results

19.0ms	42×	body	1280	valid
10.0ms	37×	body	640	valid
9.0ms	149×	body	80	valid
4.0ms	22×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	6×	body	160	valid

simplify23.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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))

rewrite44.0ms

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:

21.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series181.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
49.0ms	(* e (sin v))

simplify1.7s

Counts

74 → 74

Iterations

Useful iterations: 3 (793.0ms)

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

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))
0.2b	(pow (cos v) 2)

rewrite49.0ms

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:

24.0ms	(* (* e e) (pow (cos v) 2))
8.0ms	(* e (cos v))
9.0ms	(* e (sin v))
3.0ms	(pow (cos v) 2)

series155.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* e e) (pow (cos v) 2))
41.0ms	(* e (cos v))
39.0ms	(* e (sin v))
18.0ms	(pow (cos v) 2)

simplify2.1s

Counts

104 → 104

Iterations

Useful iterations: 3 (833.0ms)

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

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite22.0ms

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:

7.0ms	(/ (fma (cos v) e 1.0) (sin v))
10.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (fma (cos v) e 1.0) (sin v))
97.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (914.0ms)

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

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(pow (cos v) 2)
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(* e (cos v))
3.0ms	(pow (cos v) 2)
29.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
12.0ms	(* (sqrt e) (sin v))

series176.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* e (cos v))
17.0ms	(pow (cos v) 2)
44.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
75.0ms	(* (sqrt e) (sin v))

simplify1.8s

Counts

99 → 99

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	141	825
1	322	680
2	892	601
3	2479	586
done	5001	582

prune275.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	24
1	20	24
done	20	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

606.0ms	1478×	body	1280	valid
322.0ms	1260×	body	640	valid
223.0ms	4311×	body	80	valid
113.0ms	637×	body	320	valid
91.0ms	8000×	pre	80	true
41.0ms	314×	body	160	valid