Details

sample223.0ms

Algorithm

intervals

Results

38.0ms	44×	body	1280	valid
27.0ms	44×	body	640	valid
18.0ms	137×	body	80	valid
10.0ms	23×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (63.0ms)

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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))

rewrite78.0ms

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:

35.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
16.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series309.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
78.0ms	(* e (cos v))
83.0ms	(* e (sin v))

simplify2.5s

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

prune317.0ms

Pruning

7 alts after pruning (7 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)

rewrite76.0ms

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:

28.0ms	(* (* e e) (pow (cos v) 2))
23.0ms	(* e (cos v))
16.0ms	(* e (sin v))
4.0ms	(pow (cos v) 2)

series266.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (* e e) (pow (cos v) 2))
44.0ms	(* e (cos v))
78.0ms	(* e (sin v))
30.0ms	(pow (cos v) 2)

simplify3.5s

Counts

104 → 104

Iterations

Useful iterations: 3 (1.3s)

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

prune529.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite27.0ms

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:

8.0ms	(/ (fma (cos v) e 1.0) (sin v))
11.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ (fma (cos v) e 1.0) (sin v))
130.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.7s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.4s)

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

prune446.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

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:

9.0ms	(* e (cos v))
16.0ms	(* (sqrt e) (sin v))
57.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
4.0ms	(pow (cos v) 2)

series271.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* e (cos v))
133.0ms	(* (sqrt e) (sin v))
68.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
20.0ms	(pow (cos v) 2)

simplify3.0s

Counts

99 → 99

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	141	825
1	322	680
2	893	601
3	2475	586
done	5000	582

prune428.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

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

sample4.3s

Algorithm

intervals

Results

1.4s	1461×	body	1280	valid
1.0s	4271×	body	80	valid
816.0ms	1326×	body	640	valid
322.0ms	8000×	pre	80	true
282.0ms	642×	body	320	valid
129.0ms	300×	body	160	valid