Details

sample370.0ms

Algorithm

intervals

Results

22.0ms	54×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
2.0ms	15×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5
done	24	5

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite42.0ms

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:

17.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
12.0ms	(* e (cos v))

series190.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
40.0ms	(* e (sin v))
54.0ms	(* e (cos v))

simplify43.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362
done	5001	362

prune182.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

13.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
19.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
99.0ms	(* e (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify44.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	332	505
1	1444	424
2	5001	420
done	5001	420

prune160.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
0.1b	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
0.4b	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

12.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
7.0ms	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
0.0ms	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
1.0ms	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
164.0ms	(* e (expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
98.0ms	(expm1 (log1p (/ (* (sin v) 1) (fma (cos v) e 1.0))))
90.0ms	(log1p (/ (* (sin v) 1) (fma (cos v) e 1.0)))

simplify50.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	379	767
1	1708	663
2	5001	655
done	5001	655

prune240.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sin v) 1) (fma (cos v) e 1.0))
0.1b	(* e (log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
0.1b	(expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))
0.2b	(log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

15.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
7.0ms	(* e (log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
1.0ms	(expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))
0.0ms	(log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (* (sin v) 1) (fma (cos v) e 1.0))
158.0ms	(* e (log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))))
79.0ms	(expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0)))
99.0ms	(log1p (expm1 (/ (* (sin v) 1) (fma (cos v) e 1.0))))

simplify53.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	396	765
1	1760	662
2	5001	653
done	5001	653

prune222.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	18	8
2	18	8
done	18	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

675.0ms	1582×	body	1280	valid
323.0ms	1260×	body	640	valid
224.0ms	4248×	body	80	valid
106.0ms	607×	body	320	valid
95.0ms	8000×	pre	80	true
37.0ms	303×	body	160	valid