Details

sample170.0ms

Algorithm

intervals

Results

64.0ms	93×	body	1280	valid
37.0ms	277×	body	80	valid
30.0ms	75×	body	640	valid
8.0ms	31×	body	320	valid
3.0ms	18×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4343
4	489
3	108
2	59
1	23
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp im) (exp (- im)))
0.0b	(* (* 0.5 (cos re)) (+ (exp im) (exp (- im))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-r` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 42

Calls

2 calls:

20.0ms	(+ (exp im) (exp (- im)))
61.0ms	(* (* 0.5 (cos re)) (+ (exp im) (exp (- im))))

series151.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (exp im) (exp (- im)))
105.0ms	(* (* 0.5 (cos re)) (+ (exp im) (exp (- im))))

simplify1.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	1967
1	285
0	91

prune251.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))))
0.0b	(* (cos re) (exp im))
0.0b	(/ (cos re) (exp im))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

22.0ms	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))))
11.0ms	(* (cos re) (exp im))
13.0ms	(/ (cos re) (exp im))

series235.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))))
31.0ms	(* (cos re) (exp im))
46.0ms	(/ (cos re) (exp im))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1306
1	295
0	115

prune489.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp im) (cos re) (/ (cos re) (exp im)))
0.0b	(/ (cos re) (exp im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (exp im) (cos re) (/ (cos re) (exp im)))
20.0ms	(/ (cos re) (exp im))

series185.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(fma (exp im) (cos re) (/ (cos re) (exp im)))
54.0ms	(/ (cos re) (exp im))

simplify1.3s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
3	1958
2	436
1	140
0	73

prune309.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))))
0.0b	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
0.0b	(/ (cos re) (sqrt (exp im)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`sqrt-prod`
28×	`add-exp-log`
22×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`associate-/r*` `add-log-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `sqrt-pow1` `cbrt-unprod` `log1p-expm1-u`
3×	`exp-prod` `div-inv` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`frac-times` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 159

Calls

4 calls:

2.0ms	(sqrt (exp im))
30.0ms	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))))
86.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
26.0ms	(/ (cos re) (sqrt (exp im)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp im))
112.0ms	(+ (* 0.5 (* (cos re) (exp im))) (* 0.5 (* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))))
43.0ms	(* (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))))
48.0ms	(/ (cos re) (sqrt (exp im)))

simplify2.7s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
2	3719
1	639
0	222

prune810.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes204.0ms

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

sample6.6s

Algorithm

intervals

Results

2.5s	2945×	body	1280	valid
1.3s	2454×	body	640	valid
1.2s	8557×	body	80	valid
893.0ms	1209×	body	320	valid
116.0ms	614×	body	160	valid