Details

sample141.0ms

Algorithm

intervals

Results

44.0ms	39×	body	640	valid
24.0ms	54×	body	1280	valid
9.0ms	133×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
2.0ms	15×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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: 0.1b

localize23.0ms

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))

rewrite63.0ms

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:

25.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
16.0ms	(* e (sin v))
19.0ms	(* e (cos v))

series212.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
47.0ms	(* e (sin v))
56.0ms	(* e (cos v))

simplify3.4s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3641	614
done	5000	614

prune354.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

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

series246.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (sin v) (fma (cos v) e 1.0))
154.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify2.2s

Counts

69 → 69

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	130	1053
1	301	1020
2	933	920
3	3068	913
done	5000	909

prune218.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1.0))
7.0ms	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))))
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (sin v) (fma (cos v) e 1.0))
238.0ms	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1.0)))))
156.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1.0))))
96.0ms	(log1p (/ (sin v) (fma (cos v) e 1.0)))

simplify895.0ms

Counts

83 → 83

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	156	1442
1	341	1337
2	1091	1221
done	5000	1204

prune391.0ms

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1.0))
7.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
1.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (sin v) (fma (cos v) e 1.0))
228.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
119.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
123.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify895.0ms

Counts

83 → 83

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	160	1442
1	355	1329
2	1133	1213
done	5000	1200

prune387.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes168.0ms

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	10	12
1	11	12
done	11	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	1582×	body	1280	valid
524.0ms	1260×	body	640	valid
356.0ms	4248×	body	80	valid
162.0ms	607×	body	320	valid
141.0ms	8000×	pre	80	true
64.0ms	303×	body	160	valid