Details

sample145.0ms

Algorithm

intervals

Results

23.0ms	42×	body	1280	valid
16.0ms	41×	body	640	valid
13.0ms	146×	body	80	valid
7.0ms	256×	pre	80	true
4.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify114.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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)

rewrite53.0ms

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:

12.0ms	(/ (sin v) (fma (cos v) e 1))
38.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series185.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (sin v) (fma (cos v) e 1))
120.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify2.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5019
3	3315
2	879
1	300
0	125

prune540.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))))
0.4b	(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite45.0ms

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:

25.0ms	(/ (sin v) (fma (cos v) e 1))
16.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (sin v) (fma (cos v) e 1))
177.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
118.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
116.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1119
1	331
0	151

prune609.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.2b	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-l`
12×	`associate-r`
10×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `div-exp` `associate-l/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 97

Calls

3 calls:

12.0ms	(/ (sin v) (fma (cos v) e 1))
26.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
54.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series376.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (sin v) (fma (cos v) e 1))
176.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
123.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify1.9s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1969
1	511
0	187

prune646.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e))) (sqrt e))
0.3b	(* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e)))
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`prod-exp` `cbrt-unprod`
11×	`pow1` `sqrt-prod`
10×	`cbrt-prod`
8×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-*l/` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 95

Calls

4 calls:

88.0ms	(* (* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e))) (sqrt e))
52.0ms	(* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e)))
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.0s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e))) (sqrt e))
189.0ms	(* (/ (* (sin v) (fabs (cbrt e))) (fma (cos v) e 1)) (sqrt (cbrt e)))
317.0ms	(cbrt e)
225.0ms	(cbrt e)

simplify3.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	2935
1	716
0	249

prune814.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	1478×	body	1280	valid
847.0ms	1263×	body	640	valid
691.0ms	4318×	body	80	valid
282.0ms	635×	body	320	valid
242.0ms	8000×	pre	80	true
127.0ms	306×	body	160	valid