Details

sample191.0ms

Algorithm

intervals

Results

76.0ms	102×	body	1280	valid
50.0ms	284×	body	80	valid
30.0ms	61×	body	640	valid
12.0ms	34×	body	320	valid
5.0ms	20×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

10.0ms	(/ 0.5 (exp im))
20.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))

series190.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 0.5 (exp im))
165.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))

simplify567.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
2	624
1	223
0	106

prune324.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (fma (exp im) 0.5 (log1p (expm1 (/ 0.5 (exp im))))) (sin re))
0.0b	(expm1 (/ 0.5 (exp im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

5.0ms	(/ 0.5 (exp im))
8.0ms	(* (fma (exp im) 0.5 (log1p (expm1 (/ 0.5 (exp im))))) (sin re))
0.0ms	(expm1 (/ 0.5 (exp im)))

series369.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 0.5 (exp im))
264.0ms	(* (fma (exp im) 0.5 (log1p (expm1 (/ 0.5 (exp im))))) (sin re))
79.0ms	(expm1 (/ 0.5 (exp im)))

simplify612.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	736
1	270
0	126

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
0.1b	(expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
0.2b	(log1p (expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`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`
2×	`fma-udef`
1×	`distribute-rgt-in` `cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(/ 0.5 (exp im))
9.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
0.0ms	(expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
0.0ms	(log1p (expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 0.5 (exp im))
111.0ms	(* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))
173.0ms	(expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im)))))
183.0ms	(log1p (expm1 (* (sin re) (fma 0.5 (exp im) (/ 0.5 (exp im))))))

simplify634.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
2	811
1	294
0	139

prune547.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (exp im)) (sin re))
0.0b	(/ 0.5 (exp im))
0.1b	(expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re))))
0.2b	(log1p (expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

58.0ms	(* (* 0.5 (exp im)) (sin re))
11.0ms	(/ 0.5 (exp im))
1.0ms	(expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re))))
1.0ms	(log1p (expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re)))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* 0.5 (exp im)) (sin re))
18.0ms	(/ 0.5 (exp im))
181.0ms	(expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re))))
176.0ms	(log1p (expm1 (+ (* (* 0.5 (exp im)) (sin re)) (* (/ 0.5 (exp im)) (sin re)))))

simplify882.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2000
2	1151
1	333
0	144

prune602.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample9.4s

Algorithm

intervals

Results

3.5s	2939×	body	1280	valid
2.7s	2419×	body	640	valid
1.9s	8586×	body	80	valid
728.0ms	1220×	body	320	valid
215.0ms	625×	body	160	valid