Details

sample454.0ms

Algorithm

intervals

Results

65.0ms	39×	body	640	valid
56.0ms	46×	body	1280	valid
23.0ms	144×	body	80	valid
11.0ms	256×	pre	80	true
11.0ms	13×	body	320	valid
5.0ms	14×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	16
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize344.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
14.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series349.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (sin v) (fma (cos v) e 1))
280.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	2003
3	2003
2	879
1	300
0	125

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt` `times-frac`
52×	`add-exp-log`
47×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
34×	`sqrt-prod`
32×	`add-cbrt-cube`
22×	`prod-exp`
14×	`pow1`
13×	`div-exp`
12×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`associate-/r*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `associate-/l*` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `rem-sqrt-square` `clear-num` `frac-2neg` `associate-*r/` `inv-pow`

Counts

4 → 166

Calls

4 calls:

1.0ms	(sqrt (fma (cos v) e 1))
6.0ms	(/ 1 (sqrt (fma (cos v) e 1)))
37.0ms	(* (/ 1 (sqrt (fma (cos v) e 1))) (* (/ (sin v) (sqrt (fma (cos v) e 1))) e))
17.0ms	(* (/ (sin v) (sqrt (fma (cos v) e 1))) e)

series378.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (fma (cos v) e 1))
74.0ms	(/ 1 (sqrt (fma (cos v) e 1)))
79.0ms	(* (/ 1 (sqrt (fma (cos v) e 1))) (* (/ (sin v) (sqrt (fma (cos v) e 1))) e))
144.0ms	(* (/ (sin v) (sqrt (fma (cos v) e 1))) e)

simplify1.2s

Counts

178 → 178

Iterations

Iter	Nodes
done	2000
2	2000
1	686
0	261

prune876.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.3b	(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
10.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (sin v) (fma (cos v) e 1))
143.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
128.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
118.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	2003
3	2003
2	1119
1	331
0	151

prune477.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

13.0ms	(/ (sin v) (fma (cos v) e 1))
17.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
1.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
1.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (sin v) (fma (cos v) e 1))
135.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
73.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
125.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	2100
3	2100
2	1135
1	327
0	150

prune559.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.9s	1505×	body	1280	valid
1.3s	4286×	body	80	valid
1.2s	1273×	body	640	valid
529.0ms	613×	body	320	valid
304.0ms	8000×	pre	80	true
149.0ms	323×	body	160	valid